Question

Use the image to answer the question

A Two side-by-side shaded ovals labeled x and y each display a list of values. Five arrows point from the values in the left oval, x, to the values in the right oval, y.

This map shows ordered pairs that belong to the function f(x)=x^2
. What is the missing value?

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Answer 1

To determine the missing value in the function \( f(x) = x^2 \), we need to look at the values listed in the left oval (x-values) and their corresponding outputs in the right oval (y-values).

The function \( f(x) = x^2 \) maps each x-value to its square. So if we have an x-value, say \( a \), the corresponding y-value is \( f(a) = a^2 \).

Here’s how you would find the missing value:

1. **Identify the x-values** listed in oval x.
2. **Calculate the corresponding y-values** using the function \( f(x) = x^2 \).
3. **Match the calculated y-values** with those listed in oval y to identify which value is missing.

For example, if the x-values are 1, 2, and 3, the corresponding y-values would be:

- For \( x = 1 \), \( f(1) = 1^2 = 1 \)
- For \( x = 2 \), \( f(2) = 2^2 = 4 \)
- For \( x = 3 \), \( f(3) = 3^2 = 9 \)

Assuming you identified that one of the y-values that should correspond to an x-value is missing, you would write that value based on your calculations.

If you provide the specific values that are listed in the ovals, I would be able to help you find the exact missing value.