Question

Which ordered pairs lie on the graph of the exponential function f(x)=−3(x−1)+2
?
Select each correct answer.
​​ (4,−25) ​
​ (1,  1) ​
​ (0,  0) ​ ​
​​ (−1,  2)

Answer 1

So I'd like first to correct the question. This function isn't exponential. It's a linear function.

So to answer the question, to know which pair satisfies the equation, you need to substitute for each point in f(x).

Starting with the first pair (4,-25), substitute with y = 4 in the equation and see if the result x matches the one inside the pair.

So if  y=4:

$4=-3x+3+2\\-3x=-1\\x=1/3$ Which is not correct.

Now regarding the second pair (1,1). If y = 1:

$1=-3x+3+2\\-3x=-4\\x=4/3$ Which is also incorrect.

Regarding the third pair (0,0). If y = 0:

$0=-3x+3+2\\-3x=-5\\x=5/3$ Which is also incorrect.

For the last pair (-1,2). If y = -1:

$-1=-3x+3+2\\-3x=-6\\x=2$ Which is correct.

Therefore, the only pair which satisfies the equation is (-1,2).

Answer 2

Answer:

The answer is (1,1) and (4,-25).

Step-by-step explanation: Just took the test. Hope this helps!