Question
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 \( (s): \square \)
Ask by Clark Macdonald. in the United States
Jan 19,2025
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Tutor-Verified Answer
Answer
\( (4,\,0), (-4,\,0) \)
Solution
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Extra Insights
To find the \( x \)-intercept of the function \( f(x) = |x| - 4 \), set the function equal to zero: \[ |x| - 4 = 0 \implies |x| = 4 \] This results in two possible values for \( x \): \( x = 4 \) and \( x = -4 \). Therefore, the \( x \)-intercepts are the points \( (4, 0) \) and \( (-4, 0) \). So, the final answer for \( x \)-intercept(s) is: \[ (4, 0), (-4, 0) \]