26.04.2020

Consider the function f(x) = 7^x and g(x) = 7^x+ 6. How is the function g(x) translated from f(x)?

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Step-by-step answer

09.07.2023, solved by verified expert

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Mathematics
Step-by-step answer
P Answered by Master
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Consider the function f(x) = 7^x and g(x) = 7^x+ 6. How is the function g(x) translated from f(x)?
Mathematics
Step-by-step answer
P Answered by PhD
We have that
f(x)=4x-3
g(x)=x³-x²-4x+4

f(x)=g(x) ------> is when the graphs of both functions intersect

using a graph tool
see the attached figure

the solutions are
x=-2.781-------> -2.8
x=0.862-------> 0.9
x=2.919------> 2.9
Based on the graph below, what are the solutions to the equation f(x) = g(x)?  (5 points) graph of f
Mathematics
Step-by-step answer
P Answered by PhD

The answer is the option D

x=-2,0.6,3.4

Step-by-step explanation:

we have

f(x)=5x-2

g(x)=x^{3}-2x^{2}-x+2

To solve the system of equations equate f(x) and g(x)

f(x)=g(x)

The solution of the system of equations is the intersection points both graphs

Using a graphing tool

see the attached figure

The solutions of x are

x=-2,0.6,3.4


Based on the graph below, what are the solutions to the equation f(x) = g(x)?  graph of function f o
Mathematics
Step-by-step answer
P Answered by PhD
We have that
f(x)=4x-3
g(x)=x³-x²-4x+4

f(x)=g(x) ------> is when the graphs of both functions intersect

using a graph tool
see the attached figure

the solutions are
x=-2.781-------> -2.8
x=0.862-------> 0.9
x=2.919------> 2.9
Based on the graph below, what are the solutions to the equation f(x) = g(x)?  (5 points) graph of f
Mathematics
Step-by-step answer
P Answered by Master

A. x = −2.8, 0.6, −3.7

Step-by-step explanation:

f(x)=g(x)

2x+5=x^3-3x^2-4x+12

f(x)=g(x) is at the points where the two curves intersect.

(0,2) and (-2, -12) because those are all the x-axis values.

Mathematics
Step-by-step answer
P Answered by PhD

The answer is the option D

x=-2,0.6,3.4

Step-by-step explanation:

we have

f(x)=5x-2

g(x)=x^{3}-2x^{2}-x+2

To solve the system of equations equate f(x) and g(x)

f(x)=g(x)

The solution of the system of equations is the intersection points both graphs

Using a graphing tool

see the attached figure

The solutions of x are

x=-2,0.6,3.4


Based on the graph below, what are the solutions to the equation f(x) = g(x)?  graph of function f o
Mathematics
Step-by-step answer
P Answered by Specialist

Step-by-step explanation:

b. f(x) is an exponential function =>

with the formula :

f(x) = 4^x , x ≥ -2

g(x) is a linear function =>

with the formula :

g(x) = x + 4 , x ≥ -1

c. f(x) will increase as geometric sequence

g(x) will increase as arithmetic sequence

d. f(x) = g(x)

4^x = x+4

x = 1.1875 (estimated)


Lot the data for the functions f(x) and g(x) on a grid.

X
-2
1
0 1 2
Х
-1 0 1 2 3
-
f(x)
1
16
1
4
1
Mathematics
Step-by-step answer
P Answered by Master

Step-by-step explanation:

b. f(x) is an exponential function =>

with the formula :

f(x) = 4^x , x ≥ -2

g(x) is a linear function =>

with the formula :

g(x) = x + 4 , x ≥ -1

c. f(x) will increase as geometric sequence

g(x) will increase as arithmetic sequence

d. f(x) = g(x)

4^x = x+4

x = 1.1875 (estimated)


Lot the data for the functions f(x) and g(x) on a grid.

X
-2
1
0 1 2
Х
-1 0 1 2 3
-
f(x)
1
16
1
4
1
Mathematics
Step-by-step answer
P Answered by Master

Your answer is B

B) x+5

Step-by-step explanation:

x = 5

f(x) = 4x + 8 = 4(5) + 8 = 28

g(x) = 2x − 3 = 25 − 3 = 29

A quantity increasing exponentially eventually exceeds a quantity increasing linearly.

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