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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)

Respuesta :

Answer:

A and B

Step-by-step explanation:

assuming the function should be

- [tex]3^{x-1}[/tex] + 2, then

A

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

f(4) = - [tex]3^{3}[/tex] + 2 = - 27 + 2 = - 25 ← agrees with y value

(4, - 25) lies on the graph

B f(1) = - [tex]3^{0}[/tex] + 2 = - 1 + 2 = 1 ← agrees with y value

(1, 1) lies on the graph

C

f(- 1) = - [tex]3^{-2}[/tex] + 2 = - [tex]\frac{1}{9}[/tex] + 2 ≠ 2

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

D

f(0) = [tex]3^{-1}[/tex] + 2 = - [tex]\frac{1}{3}[/tex] + 2 ≠ 0

(0, 0) does not lie on the graph




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