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=−1
x equals negative 1

x=2
x equals 2

Answer 1

x f(x)
-1 4 (f(-1)=−(−1+1)^2+4=−0+4=4)
0 3 (f(0)=−(0+1)^2+4=−1+4=3)
1 0 (f(1)=−(1+1)^2+4=−4+4=0)
2 -5 (f(2)=−(2+1)^2+4=−9+4=−5)

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