Mathematics : asked on itsmichaelhere1

02.07.2021

F(-4); f(x) = x2 + x - 4

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24.06.2023, solved by verified expert

Bhaskar Singh Bora

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Step-by-step explanation: In this problem,

we're asked to find f(-4) or the value of the function when x = -4.

To find the value of the function when x = -4,we simply plug in a -4 for

the x in our function and we have (-4)² + (-4) - 4 or 16 + -4 - 4 which is 8.

So f(-4) = 8.

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Mathematics

F(-4); f(x) = x2 + x - 4

Step-by-step answer

P Answered by PhD

1

8

Step-by-step explanation: In this problem,

we're asked to find f(-4) or the value of the function when x = -4.

To find the value of the function when x = -4,we simply plug in a -4 for

the x in our function and we have (-4)² + (-4) - 4 or 16 + -4 - 4 which is 8.

So f(-4) = 8.

Mathematics

The rate in which a function increases or decreases between its points are called the slope, or the rate of change. for any function, the rate of change is calculated by the slope formula. slope formula: where m = slope (a, f(a)) and (b, f(b)) are two points on the function. here is an example: for the function, f(x) = 2x - 1, calculate the rate of change between the points, (-1, f(-1)) and (4, f( let(-1,f(-1))=(a,f(a)) and (4,f(4))=(b,f( use the given functin, f(x)=2x-1, to complete the points. for (-1, f(-1): for (4,f(4)) f(x)=2x-1 f(x)=2x-1

Step-by-step answer

P Answered by PhD

5

I'll focus on one example: f(x)=x^2: (-2,f(-2)) and (0,f(0)) 4)

Find the average rate of change of f(x) = x^2 from x = -2 to x = 0:
f(0) - f(-2) (0)^2 - (-2)^2) 0-4
arc = = = = -2 (answer)
0-(-2) 2 2

Mathematics

The rate in which a function increases or decreases between its points are called the slope, or the rate of change. for any function, the rate of change is calculated by the slope formula. slope formula: where m = slope (a, f(a)) and (b, f(b)) are two points on the function. here is an example: for the function, f(x) = 2x - 1, calculate the rate of change between the points, (-1, f(-1)) and (4, f( let(-1,f(-1))=(a,f(a)) and (4,f(4))=(b,f( use the given functin, f(x)=2x-1, to complete the points. for (-1, f(-1): for (4,f(4)) f(x)=2x-1 f(x)=2x-1

Step-by-step answer

P Answered by PhD

5

I'll focus on one example: f(x)=x^2: (-2,f(-2)) and (0,f(0)) 4)

Find the average rate of change of f(x) = x^2 from x = -2 to x = 0:
f(0) - f(-2) (0)^2 - (-2)^2) 0-4
arc = = = = -2 (answer)
0-(-2) 2 2

Mathematics

For each function, use the slope formula to calculate the rate of change between the points. in your final answer, include all of your calculations. f(x): (a, f(a) and (b,f(b) 1.) f(x)=x - 3 (0,f(0)) and (6,f(6)) 2.) f(x) = -x (-4,f(-4)) and(2,f(2)) 3.) f(x)=x2 (-2,f(-2)) and (0,f(0)) 4.) f(x)=x3 (-1,f(-1)) and (1,f(1)) 5.) f(x)=2x (0,f(0)) and (4,f(4))

Step-by-step answer

P Answered by PhD

13

Function 1:

f(x) = x - 3
f(0) = 0 - 3 = -3
f(6) = 6 - 3 = 3

Slope = $\frac{-3-3}{6-0} = \frac{-6}{6} =-1$

Function 2:

f(x) = -x
f(-4) = 4
f(2) = -2

Slope = $\frac{4--2}{-4-2}= \frac{6}{-6}=-1$

Function 3:

f(x) = x²
f(-2) = (-2)² = 4
f(0) = (0)² = 0

Slope = $\frac{4-0}{-2-0}= \frac{4}{-2}=-2$

Function 4:

f(x) = x³
f(-1) = (-1)³ = -1
f(1) = (1)³ = 1

Slope = $\frac{-1-1}{-1-1}= \frac{-2}{-2}=1$

Function 5:

f(x) = 2ˣ
f(0) = 2⁰ = 1
f(4) = 2⁴ = 16

Slope = $\frac{1-16}{0-4}= \frac{-15}{-4}=3.75$

Mathematics

For each function, use the slope formula to calculate the rate of change between the points. in your final answer, include all of your calculations. f(x): (a, f(a) and (b,f(b) 1.) f(x)=x - 3 (0,f(0)) and (6,f(6)) 2.) f(x) = -x (-4,f(-4)) and(2,f(2)) 3.) f(x)=x2 (-2,f(-2)) and (0,f(0)) 4.) f(x)=x3 (-1,f(-1)) and (1,f(1)) 5.) f(x)=2x (0,f(0)) and (4,f(4))

Step-by-step answer

P Answered by PhD

13

Function 1:

f(x) = x - 3
f(0) = 0 - 3 = -3
f(6) = 6 - 3 = 3

Slope = $\frac{-3-3}{6-0} = \frac{-6}{6} =-1$

Function 2:

f(x) = -x
f(-4) = 4
f(2) = -2

Slope = $\frac{4--2}{-4-2}= \frac{6}{-6}=-1$

Function 3:

f(x) = x²
f(-2) = (-2)² = 4
f(0) = (0)² = 0

Slope = $\frac{4-0}{-2-0}= \frac{4}{-2}=-2$

Function 4:

f(x) = x³
f(-1) = (-1)³ = -1
f(1) = (1)³ = 1

Slope = $\frac{-1-1}{-1-1}= \frac{-2}{-2}=1$

Function 5:

f(x) = 2ˣ
f(0) = 2⁰ = 1
f(4) = 2⁴ = 16

Slope = $\frac{1-16}{0-4}= \frac{-15}{-4}=3.75$

Mathematics

Neil places £2000 in a bank account that pays 1.5% simple interest per year. How much interest will he earn in 6 years?

Step-by-step answer

P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Mathematics

Deanna gets 3 problems incorrect on a math quiz. Her score is 85%. How many questions are on the quiz?

Step-by-step answer

P Answered by PhD

The answer is in the image

The answer is in the image

Mathematics

the surface area of a box is 232 square inches. the box is 4 inches wide and 8 inches long. what is the hight?

Step-by-step answer

P Answered by PhD

The solution is given in the image below

The solution is given in the image below

Mathematics

David is building wooden picture frames. Each frame requires 3/4 feet of wood. If David started with 12 feet of wood and now has 6 feet of wood remaining, how many pictures frames has he built?

Step-by-step answer

P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics

How much would the tip be if you left 18% on a 75.45 steak dinner?

Step-by-step answer

P Answered by PhD

tip=18% of 75.45

=18/100 * 75.45 = $13.581

Tip = $13.581

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