Question

HELP WITH THESE LAST TWO QUESTIONS AND YOU GET BRAINLEST!!!!!!

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

Select each correct answer.



​​ (4,−25) ​

​ (1,  1) ​

​ (0,  0) ​ ​

​​ (−1,  2)

2. Which answers describe the end behaviors of the function modeled by the graph?

f(x)=(12)x+1−2f(x)=(12)x+1−2
Select each correct answer.

As x decreases without bound, f(x) increases without bound.

As x increases without bound, f(x) approaches the line y=−2y=−2 .

As x decreases without bound, f(x) approaches the line y=−2y=−2 .

As x decreases without bound, f(x) decreases without bound.

Answer 1

(4,−25) ​, As x decreases without bound, f(x) approaches the line y=−2y=−2 . is the answers

Answer 2

Answer:

1. ​( 4,-25 ) and (1,  1) ​

2. As x decreases without bound, f(x) increases without bound and As x increases without bound, f(x) approaches the line y=−2y=−2.

Step-by-step explanation:

Question 1: We are given the function $f(x)= -3^{x-1}+2$

Substituting the value of x = 4, 1, 0 and -1.

The value of f(x) are f(4) = -25, f(1) = 1, $f(0)=\frac{-5}{3}$ and $f(0)=\frac{17}{9}$

Hence, the points lying on the graph of $f(x)= -3^{x-1}+2$ are ( 4,-25 ) and ( 1,1 ).

Question 2: From the given graph, we can see that,

As $x\rightarrow \infty$, $f(x)\rightarrow y=-2$.

Also, as $x\rightarrow -\infty$, $f(x)\rightarrow \infty$.

Hence, we get that according to the options,

As x decreases without bound, f(x) increases without bound and As x increases without bound, f(x) approaches the line y=−2y=−2.