PLEASE HELP THIS IS TIMED I WILL GIVE BRAINLIES The table below represents a linear function f(x) and the equation represents a function g(x):

x f(x)
−1 −3
0 0
1 3
g(x)

g(x) = 7x + 2

Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)

Part B: Which function has a greater y-intercept? Justify your answer. (4 points)

(10 points)

Answer

Given: Sorry the images are at the bottom.

To find:

Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).

Part B: Which function has a greater y-intercept? Justify your answer.

Solution:

On inspection of values of x and f(x) it is clear that f(x) is a linear function

i.e.

1)Slope of f(x) and y-intercept of f(x):

Convert the function in slope intercept form and calculate the slope.

Slope intercept form:

Here,

Slope of f(x)=1,

y-intercept of f(x)=(0,0)

2) Slope and y-intercept of g(x):

Slope of g(x)=7

Y-INTERCEPT of g(x) =(0,2)

Part A:

Slope of f(x) is 1 and slope of g(x) is 7.

Part B:

g(x) has a greater y-intercept.

Hope it helps you.

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.

idk what the heck he answer is, i’m just putting this here so i finish my account