Deterenine whether the equation defines as a function of .

is a function of
is not a function of

Ask by Allan George. in the United States

Dec 09,2024

Question

Deterenine whether the equation defines $$ y $$ as a function of $$ x $$. $$ x+y=25 $$ $$ y $$ is a function of $$ x $$ $$ y $$ is not a function of $$ x $$

UpStudy AI · Accepted Answer

To determine whether the equation $$ x + y = 25 $$ defines $$ y $$ as a function of $$ x $$, we can solve for $$ y $$ in terms of $$ x $$.

Starting with the equation:

$$
x + y = 25
$$

We can isolate $$ y $$ by subtracting $$ x $$ from both sides:

$$
y = 25 - x
$$

This equation expresses $$ y $$ as a single output for each input $$ x $$. For any given value of $$ x $$, there is exactly one corresponding value of $$ y $$.

Since $$ y $$ can be expressed as a function of $$ x $$ (specifically, $$ y = 25 - x $$), we conclude that:

$$
y \text{ is a function of } x.
$$

Thus, the answer is:

$$ y $$ is a function of $$ x $$.
$$ y $$ is a function of $$ x $$.

Deterenine whether the equation defines as a function of .

is a function of
is not a function of

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Deterenine whether the equation defines as a function of . is a function of is not a function of