Determine the $$ x $$ - and $$ y $$-intercepts for the given function. Write your answer as an ordered pair. $$ \begin{array}{l}f(x)=|x|-4\end{array} $$ If there is more than one answer, separate your answers with commas. Select "None" if appropriate. Part 1 of 2 $$ \quad x $$-intercept $$ (s): \square $$

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UpStudy AI · Accepted Answer

The $$ x $$-intercepts occur where $$ f(x) = 0 $$.

Given the function:
$$ f(x) = |x| - 4 $$

Set $$ f(x) $$ to zero and solve for $$ x $$:
$$
|x| - 4 = 0 \
|x| = 4 \
x = 4 \quad \text{or} \quad x = -4
$$

Thus, the $$ x $$-intercepts are:
$$
(4, 0), (-4, 0)
$$

**Answer:**
$$ (4,\,0), (-4,\,0) $$
$$ (4,\,0), (-4,\,0) $$

Determine the - and -intercepts for the given function. Write your answer as an ordered pair.

If there is more than one answer, separate your answers with commas. Select “None” if appropriate.
Part 1 of 2

-intercept

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Determine the - and -intercepts for the given function. Write your answer as an ordered pair. If there is more than one answer, separate your answers with commas. Select “None” if appropriate. Part 1 of 2 -intercept