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What is the effect on the graph of a function f(x) =|x| when f(x) is changed tom2/3f(x).

User Jetcom
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We are given the following function:


f(x)=\lvert x\rvert

This is an absolute value function. The graph of this function is the following:

Where we change the function to:


f(x)=(2)/(3)\lvert x\rvert

When the absolute value function is multiplied by a number smaller than one its graphs "opens more". Therefore, the new graph should look as follows:

What is the effect on the graph of a function f(x) =|x| when f(x) is changed tom2/3f-example-1
What is the effect on the graph of a function f(x) =|x| when f(x) is changed tom2/3f-example-2
User Michael Best
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