Question

A function is defined as follows:

IN THE SCREENSHOT

For which x-values is f(x) = 4? Select all that apply.

-2
1
2
13

Answer 1

f(x) = 4 for the values 2 and -2.

Explanation:

Given

y = { x+6 x < -2

x² -2 ≤ x ≤ 3

3x+1 x > 3 }

To determine

For which x-values is f(x) = 4

It is clear that:

The portion of the function f(x) = x² has the interval -2 ≤ x ≤ 3

Now, if we enter x = 2 or x = -2 in f(x) = x² from the interval -2 ≤ x ≤ 3 we get the output 4.

i.e.

at x = -2,

f(-2) = (-2)² = 4

also

at x = 2,

f(2) = (2)² = 4

Therefore, f(x) = 4 for the values 2 and -2.