5. (04.07)which of the following exponential functions goes through the points (1, 12) and (2, 36)? (2 points)f(x) = 3(4)^xf(x) = 4(3)^-xf(x) = 3(4)^-xf(x) = 4(3)^x

D) f(x) = 4(3)^x

Step-by-step explanation:

Plug y in for f(x) and plug in the points so if they are both true in one equation then it is correct.

A)

y = 3(4)^x

36 = 3(4)^2

36 = 3(16)

This is already incorrect

B)

y = 4(3)^-x

36 = 4(3)^-2

36 = 4(1/16)

36 ≠ 1/4

This is incorrect

I'm going to skip C because I believe D is correct:

D)

y = 4(3)^x

36 = 4(3)^2

36 = 4(9)

36 = 36

Now we plug in the other points

y = 4(3)^x

12 = 4(3)^1

12 = 4(3)

12 = 12

c

step-by-step explanation:

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is