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What does f (| x |) do to a graph?

User RJBreneman
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1 Answer

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Answer:

reflects the right side of the graph across the y-axis

Explanation:

You want to know what f(|x|) does to a graph.

Reflection

A graph is reflected across the y-axis by changing the sign of x:

f(-x) reflects f(x) across the y-axis.

Absolute value

The absolute value function changes the sign of its argument when that argument is negative.

This means that the graph of f(|x|) will be a reflection of the graph of f(x) across the y-axis when x-values are negative.

The attachment shows an example.

What does f (| x |) do to a graph?-example-1
User Prajeesh
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