Question

Determine whether the following equation defines y as a function of x.
x squared plus yequals144
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Part 1
Does the equation x squared plus yequals144 define y as a function of​ x?
Yes
No

Answer 1

To determine whether the equation \( x^2 + y = 144 \) defines \( y \) as a function of \( x \), we can isolate \( y \).

Starting from the equation:

\[
x^2 + y = 144
\]

We can solve for \( y \):

\[
y = 144 - x^2
\]

This equation expresses \( y \) in terms of \( x \). For any given value of \( x \), there is a unique value of \( y \) calculated from \( y = 144 - x^2 \).

Since for every \( x \), there is exactly one corresponding \( y \), we conclude that \( y \) is indeed a function of \( x \).

**Answer:** Yes, it defines \( y \) as a function of \( x \).