Question

The table shows values for functions f(x) and g(x) .

x f(x) g(x)
−2 ​ −8 ​ ​ −2 ​
−1 ​ −1 ​ ​ −1 ​
0 0 0
1 1 1
2 8 2
What are the known solutions to f(x)=g(x) ?
Select each correct answer.
​ −2 ​
​ −1 ​
0
1
2

Answer 1

0

Explanation:

Answer 2

-1, 0 and 1

Explanation:

Let's work through this step by step.

x goes from -2 to 2 so we will check each integer in between.

f(-2) and g(-2) is the first one. The table shows f(-2)=-8 and g(-2)=-2, so f(-2) does not equal g(-2)

Now we just keep doing this for x=-1,0,1, and 2

f(-1) = -1 and g(-1) = -1 so f(-1)=g(-1)

f(0)=0 and g(0)=0 so f(0)=g(0)

f(1)=1 and g(1)=1 so f(1)=g(1)

f(2)=8 and g(2)=2 so f(2) does not equal g(2)

So there were three xs that made f(x) = g(x). -1, 0 and 1, so those are your answers.