Question

the equation $y = x^2 + 1$ represents a function. when the input is $-2$, what is the output? \
input ($x$) | output ($y$) \
$-2$ |

Explanation:

Step1: Substitute \( x = -2 \) into the function

We have the function \( y = x^2 + 1 \). Substitute \( x=-2 \) into the equation: \( y = (-2)^2 + 1 \).

Step2: Calculate the value

First, calculate \( (-2)^2 \), which is \( 4 \). Then add \( 1 \): \( 4 + 1 = 5 \).

Answer:

\( 5 \)