Mathematics: The graph of a linear function is a .?

The graph of a linear function is a .?, №12061448, 09.08.2021 21:29

Mathematics

Which of the following are true of linear functions? select all that apply. there is exactly one output for each input. the graph of a linear function is a straight line. alinear function can cross the y-axis in two places alinear function has a constant rate of change. alinear function must cross the x-axis

Step-by-step answer

P Answered by Master

45

There is exactly one output for each input.

The graph of a linear function is a straight line.

A linear function has a constant rate of change.

Step-by-step explanation:

Mathematics

Me with my questions. and don t write that you don t know just to get points i really need . 1.)kim is solving the following linear equation. 11+3x-7=6+5-3x her final two steps are: 4+3x=3x+5 4=5 select the statement that correctly interprets kim s solution. * the solution is x = 0. the solution is the ordered pair (4, 5). there is no solution since 4 = 5 is a false statement. there are infinitely many solutions since 4 = 5 is a false statement 2.) select all equations that have no solution. 6x - 2 - 3x = 3x - 2 6x - (3x + 8) = 16x 10 + 6x = 15

Step-by-step answer

P Answered by PhD

14

1. The correct answer is letter (C) There is no solution since 4 = 5 is a false statement.

2. The equation that has solution is:
6x - (3x + 8) = 16x

6x - 3x - 8 = 16x

3x - 8 = 16x

-13x = 8

x = -8/13

3. The coordinate grids above shows equations y = 3x - 2 and 2x - y = 4. The correct answer is graph letter (A)

4. Select ALL of the functions.

The functions are letter (A) and letter (D).

5. Write the difference in the rates of change for these two functions

The equation in the table is

m = (Y1-Y2) / (X1-X2)

m = (4-12) / (0-2)

m = -8 / -2

m = 4

y = mx+b

4 = 4(0) + b

b = -4

So the equation of the table is y = 4x - 4.

The second equation is y = 7x + 4.

(0 , 4)

(2 , 18)

(4 , 32)

(6 , 46)

The difference rate is (0, 6, 12, 18) is 6n.

6. The function is linear.

7. The function is nonlinear.

8. The function is linear.

9. The function is nonlinear.

10. The correct answer is letter (C).

11. The correct answer is letter D. Linear function with positive slope

Mathematics

Me with my questions. and don t write that you don t know just to get points i really need . 1.)kim is solving the following linear equation. 11+3x-7=6+5-3x her final two steps are: 4+3x=3x+5 4=5 select the statement that correctly interprets kim s solution. * the solution is x = 0. the solution is the ordered pair (4, 5). there is no solution since 4 = 5 is a false statement. there are infinitely many solutions since 4 = 5 is a false statement 2.) select all equations that have no solution. 6x - 2 - 3x = 3x - 2 6x - (3x + 8) = 16x 10 + 6x = 15

Step-by-step answer

P Answered by PhD

14

1. The correct answer is letter (C) There is no solution since 4 = 5 is a false statement.

2. The equation that has solution is:
6x - (3x + 8) = 16x

6x - 3x - 8 = 16x

3x - 8 = 16x

-13x = 8

x = -8/13

3. The coordinate grids above shows equations y = 3x - 2 and 2x - y = 4. The correct answer is graph letter (A)

4. Select ALL of the functions.

The functions are letter (A) and letter (D).

5. Write the difference in the rates of change for these two functions

The equation in the table is

m = (Y1-Y2) / (X1-X2)

m = (4-12) / (0-2)

m = -8 / -2

m = 4

y = mx+b

4 = 4(0) + b

b = -4

So the equation of the table is y = 4x - 4.

The second equation is y = 7x + 4.

(0 , 4)

(2 , 18)

(4 , 32)

(6 , 46)

The difference rate is (0, 6, 12, 18) is 6n.

6. The function is linear.

7. The function is nonlinear.

8. The function is linear.

9. The function is nonlinear.

10. The correct answer is letter (C).

11. The correct answer is letter D. Linear function with positive slope

Mathematics

Iwill make brainliest ! 1) is the function described by the points in this table linear or nonlinear? x y −2 4 0 8 1 10 2 12 3 14 a)linear b)nonlinear 2) which table could be a partial set of values for a linear function? x y 0 0 1 2 2 8 3 18 x y 0 3 1 5 2 7 3 9 x y 0 9 1 8 2 5 3 0 x y 0 1 1 2 2 5 3 10 3) is this function linear or nonlinear? y=2x2−4 a)nonlinear b)linear 4)select linear or nonlinear to correctly classify each function. function linear nonlinear 72=x3+y y+1=5(x−9) 7y + 2x = 12 4y = 24 5) a function is represented by the values in

Step-by-step answer

P Answered by Specialist

47

1)

Answer

a) linear

Explanation

There is a simple way to tell if a function is linear from a table: look at the x and y-values; if the y-values are increasing or decreasing by the same amount when their corresponding x-values increases or decreases by the same amount, you have a linear function; otherwise, you don't.

Look at the table

From 0 to 1 x is increasing by 1; from 8 to 10 (the corresponding values), y is increasing by 2

From 1 to 2 x is increasing by 1; from 10 to 12, y is increasing by 2

So, every time that x increases by 1, y increases by 2; therefore, we have a linear function.

Notice that form -2 to 0 x is increasing by 2; from 4 to 8 increasing by 4, which is the same rate as before (when x increases 1, y increases 1)

2)

Answer

xy

03

15

27

39

Explanation

When x increases by 1, y increases by 2; therefore we have a linear function.

If you look at the first and third tables, y increases at different amounts every time x increases by 1; therefore, they are not linear functions.

In the first table when x increases by 1, y increases by 2, 4, or 10. Therefore, the table is not a linear function.

Similarly, in the third table when x increases by 1, y increases by 1, 3, or 5. Therefore, the table is not a linear function.

3)

Answer

a) nonlinear

Explanation

A linear function is function of the form: y=mx+b or Ay+Bx=C where is the independent variable and is the dependent variable.

In a linear function the coefficient of the variables is always 1.

Notice that the coefficient of the independent variable , in the function y=2x^2-4 , is 2; therefore the function is nonlinear.

4)

Answer

2=x3+y Nonlinear

y+1=5(x−9) Linear

7y + 2x = 12 Linear

4y = 24 Linear

Explanation

2=x3+y The coefficient of the independent variable, x, is 3; therefore, the function is not linear.

y+1=5(x−9) We can simplify the expression to get:

y+1=5x-45

y=5x-46

Since y=5x-46 is in the form y=mx+b, we have a linear function.

7y + 2x = 12

Since 7y + 2x = 12 is a function of the form Ay + Bx = C, it is a linear function

4y = 24 We can siplify to get:

$y=\frac{24}{4}$

y=6

Since y=6 is a function of the form y = mx+b (with m=0), it is a linear function.

5)

Answer

b) is not

Explanation

From 22 to 20, x decreases by 2; from 26 to 22, y decreases by 4. So, when x decreases by 2, y decreases by 4.

From 16 to 14, x decreases by 2; from 20 to 18, y decreases by 2. So, when x decreases by 2, y decreases by 2.

When x decreases by 2, y decreases by 4 or 2; therefore the function represented in the table is not a linear function.

Mathematics

Iwill make brainliest ! 1) is the function described by the points in this table linear or nonlinear? x y −2 4 0 8 1 10 2 12 3 14 a)linear b)nonlinear 2) which table could be a partial set of values for a linear function? x y 0 0 1 2 2 8 3 18 x y 0 3 1 5 2 7 3 9 x y 0 9 1 8 2 5 3 0 x y 0 1 1 2 2 5 3 10 3) is this function linear or nonlinear? y=2x2−4 a)nonlinear b)linear 4)select linear or nonlinear to correctly classify each function. function linear nonlinear 72=x3+y y+1=5(x−9) 7y + 2x = 12 4y = 24 5) a function is represented by the values in

Step-by-step answer

P Answered by Specialist

47

1)

Answer

a) linear

Explanation

There is a simple way to tell if a function is linear from a table: look at the x and y-values; if the y-values are increasing or decreasing by the same amount when their corresponding x-values increases or decreases by the same amount, you have a linear function; otherwise, you don't.

Look at the table

From 0 to 1 x is increasing by 1; from 8 to 10 (the corresponding values), y is increasing by 2

From 1 to 2 x is increasing by 1; from 10 to 12, y is increasing by 2

So, every time that x increases by 1, y increases by 2; therefore, we have a linear function.

Notice that form -2 to 0 x is increasing by 2; from 4 to 8 increasing by 4, which is the same rate as before (when x increases 1, y increases 1)

2)

Answer

xy

03

15

27

39

Explanation

When x increases by 1, y increases by 2; therefore we have a linear function.

If you look at the first and third tables, y increases at different amounts every time x increases by 1; therefore, they are not linear functions.

In the first table when x increases by 1, y increases by 2, 4, or 10. Therefore, the table is not a linear function.

Similarly, in the third table when x increases by 1, y increases by 1, 3, or 5. Therefore, the table is not a linear function.

3)

Answer

a) nonlinear

Explanation

A linear function is function of the form: y=mx+b or Ay+Bx=C where is the independent variable and is the dependent variable.

In a linear function the coefficient of the variables is always 1.

Notice that the coefficient of the independent variable , in the function y=2x^2-4 , is 2; therefore the function is nonlinear.

4)

Answer

2=x3+y Nonlinear

y+1=5(x−9) Linear

7y + 2x = 12 Linear

4y = 24 Linear

Explanation

2=x3+y The coefficient of the independent variable, x, is 3; therefore, the function is not linear.

y+1=5(x−9) We can simplify the expression to get:

y+1=5x-45

y=5x-46

Since y=5x-46 is in the form y=mx+b, we have a linear function.

7y + 2x = 12

Since 7y + 2x = 12 is a function of the form Ay + Bx = C, it is a linear function

4y = 24 We can siplify to get:

$y=\frac{24}{4}$

y=6

Since y=6 is a function of the form y = mx+b (with m=0), it is a linear function.

5)

Answer

b) is not

Explanation

From 22 to 20, x decreases by 2; from 26 to 22, y decreases by 4. So, when x decreases by 2, y decreases by 4.

From 16 to 14, x decreases by 2; from 20 to 18, y decreases by 2. So, when x decreases by 2, y decreases by 2.

When x decreases by 2, y decreases by 4 or 2; therefore the function represented in the table is not a linear function.

Mathematics

Tell whether each function is linear or non-linear. Function A line1 Function B x 0 1 2 3 y 0 1 8 27 y = –x + 5 Function A is non-linear and Function B is non-linear. Function A is linear and Function B is non-linear. Function A is linear and Function B is linear. Function A is non-linear and Function B is linear.

Step-by-step answer

P Answered by PhD

4

Function A is non-linear and Function B is linear.

Step-by-step explanation:

Linear function:

Has the following format:

y = mx + b

In which m is the slope and b is the y-intercept.

In a linear function, when x changes by 1, y will always changes by the same amount.

Function A:

When x changes by 1, y can change by various amounts. So function A is non-linear.

Function B:

y = -x + 5

In the format of a linear function, so linear

Mathematics

Identify each graph as being a non-linear function, a linear function, or not a function. graph a- the first graph. graph b- the graph with a circle. graph c- graph shaped like a v. 1. graph a: not a function graph b: not a function graph c: linear function 2. graph a: non-linear function graph b: not a function graph c: linear function 3. graph a: not a function graph b: not a function graph c: non-linear function 4. graph a: non-linear function graph b: not a function graph c: non-linear function answers !

Step-by-step answer

P Answered by PhD

5

What are the 1-4 you have numbered? but to, summarize, if you can draw a vertical line and hit more than one point anywhere on the graph its not a function, so B, and if there are any bends or curves, but still is a function, it's a non linear function, like the other two.

Mathematics

Tell whether each function is linear or non-linear. Function A line1 Function B x 0 1 2 3 y 0 1 8 27 y = –x + 5 Function A is non-linear and Function B is non-linear. Function A is linear and Function B is non-linear. Function A is linear and Function B is linear. Function A is non-linear and Function B is linear.

Step-by-step answer

P Answered by PhD

4

Function A is non-linear and Function B is linear.

Step-by-step explanation:

Linear function:

Has the following format:

y = mx + b

In which m is the slope and b is the y-intercept.

In a linear function, when x changes by 1, y will always changes by the same amount.

Function A:

When x changes by 1, y can change by various amounts. So function A is non-linear.

Function B:

y = -x + 5

In the format of a linear function, so linear

Mathematics

Identify each graph as being a non-linear function, a linear function, or not a function. graph a- the first graph. graph b- the graph with a circle. graph c- graph shaped like a v. 1. graph a: not a function graph b: not a function graph c: linear function 2. graph a: non-linear function graph b: not a function graph c: linear function 3. graph a: not a function graph b: not a function graph c: non-linear function 4. graph a: non-linear function graph b: not a function graph c: non-linear function answers !

Step-by-step answer

P Answered by PhD

5

What are the 1-4 you have numbered? but to, summarize, if you can draw a vertical line and hit more than one point anywhere on the graph its not a function, so B, and if there are any bends or curves, but still is a function, it's a non linear function, like the other two.

Mathematics

80 points for right answer! 4 questions! math only question 1 (multiple choice worth 4 points) (07.05a) which of the following has a graph that is a straight line? equation 1: y = 5x2 + 41 equation 2: y = 14x5 − 4 equation 3: y = 12x + 17 equation 4: y4 = 2x − 1 which of the following ordered pairs could be placed in the table and still have the relation qualify as a linear function? input (x) output (y) −1 4 0 7 1 10 ? ? (2, 7) (2, 13) (1, 7) (−1, 13) which statement best explains whether the table represents a linear or nonlinear function? input

Step-by-step answer

P Answered by PhD

78

1.
A graph of linear function is a straight line.
Linear function in a slope-intercept form: y = mx + b

Equation 3: y = 12x + 17.

2.
x|-1 | 0 | 1 | ? |
y| 4 | 7 |10| ? |

a slope: $m=\dfrac{y_2-y_1}{x_2-x_1}$

We choose:
$(-1; 4)\to x_1=-1\ and\ y_1=4\\(0;\ 7)\to x_2=0\ and\ y_2=7$

subtitute:

$m=\dfrac{7-4}{0-(-1)}=\dfrac{3}{1}=3$

a slope-intercept form: y-y_1=m(x-x_1)

subtitute:

$y-4=3(x-(-1))\\\\y-4=3(x+1)\\\\y-4=3x+3\ \ \ \ |add\ 4\ to\ both\ sides\\\\y=3x+7\ (*)$

subtitute x = 2 to the equation (*):

$y=3\cdot2+7=6+7=13$

(2, 13)

3.
(-2; 7), (-5; 4)

the slope: $m=\dfrac{4-7}{-5-(-2)}=\dfrac{-3}{-5+2}=\dfrac{-3}{-3}=1$

$y-7=1(x-(-2))\to y-7=x+2\ \ \ \ |add\ 7\ to\ both\ sides\\y=x+9$

check other:

$(-8;\ 1)\to L=1;\ R=-8+9=1;\ L=R-correct\\(-11;-2)\to L=-2;\ R=-11+9=-2;\ L=R-correct$

The conclusion: It's a linear function

It is a linear function because there is a constant rate of change in both the input and output values.

4.
y = 3x + 5 /look at the picture/

It is a linear function because its graph contains the points (0, 5), (1, 8), (2, 11), which are on a straight line.

check:
$(0; 5)\to L=5; R=3\cdot0+5=5;\ L=R-correct\\(1;\ 8)\to L=8;\ R=3\cdot1+5=8;\ L=R-correct\\(2;\ 11)\to L=11;\ R=3\cdot2+5=11;\ L=R-correct$

80 points for right answer! 4 questions! math only question 1 (multiple choice worth 4 points) (07

80 points for right answer! 4 questions! math only question 1 (multiple choice worth 4 points) (07

The graph of a linear function is a .?

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