Question

Use the table to answer the question.

Make the table like the one to determine the missing values of f(x) for different values of x.
x f(x)

−1

0
1
2
Finish creating the input-output table for the function f(x)=−(x+1)2+4
. Which of the given x values produces the largest output for the function?

(1 point)
Responses

x=0

x equals 0

x=1

x equals 1

x=2

x equals 2

x=−1

Answer 1

Compute f(x) = −(x+1)^2 + 4:

- f(−1) = −(0)^2 + 4 = 4
- f(0) = −(1)^2 + 4 = 3
- f(1) = −(2)^2 + 4 = 0
- f(2) = −(3)^2 + 4 = −5

Table:
x | f(x)
−1 | 4
0 | 3
1 | 0
2 | −5

The largest output is 4, which occurs at x = −1.