Question

I need help. I have tried doing this question and none of the answers were right. Please help me.

Which ordered pairs lie on the graph of the exponential function f(x)=− 3 (x−1) +2 ? Select each correct answer.


A. (4,−25)

B. (1,  1)

C. (−1,  2)

D. (0,  0)

Answer 1

A and B

Explanation:

assuming the function should be

-
`3^(x-1)` + 2, then

A

substitute the x value into f(x) and check the validity of the y- value

f(4) = -
`3^(3)` + 2 = - 27 + 2 = - 25 ← agrees with y value

(4, - 25) lies on the graph

B f(1) = -
`3^(0)` + 2 = - 1 + 2 = 1 ← agrees with y value

(1, 1) lies on the graph

C

f(- 1) = -
`3^(-2)` + 2 = -
`(1)/(9)` + 2 ≠ 2

(- 1, 2) does not lie on the graph

D

f(0) =
`3^(-1)` + 2 = -
`(1)/(3)` + 2 ≠ 0

(0, 0) does not lie on the graph