Question

Use the table to answer the question.

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=2
x equals 2

x=1
x equals 1

x=0
x equals 0

x=−1
x equals negative 1
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Answer 1

So what is the correct answer

Answer 2

To create the input-output table for the function f(x)=−(x+1)2+4, we substitute the given x values into the function.

When x equals −1:
f(−1)=−(−1+1)2+4=−(0)2+4=0+4=4

When x equals 0:
f(0)=−(0+1)2+4=−(1)2+4=−1+4=3

When x equals 1:
f(1)=−(1+1)2+4=−(2)2+4=−4+4=0

When x equals 2:
f(2)=−(2+1)2+4=−(3)2+4=−9+4=−5

Therefore, the x value that produces the largest output for the function is x=−1, as f(−1)=4.

Answer 3

The correct answer is that the x value which produces the largest output for the function is x=−1.