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Mental Math Determine whether each statement is always, sometimes, or never true.An absolute value function of the form f(x) = c|x| is symmetric about the y-axis.



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MrRoyal

The statement that "an absolute value function of the form f(x) = c|x| is symmetric about the y-axis" is always true

How to determine whether each statement is always, sometimes, or never true?

The function is given as

f(x) = c|x|

The parent absolute value function is represented f(x) = |x|

Also, the parent absolute value function is symmetric about the y-axis.

This is also true for all functions that take the form f(x) = c|x| where c does not equal 0

Hence, the statement that "an absolute value function of the form f(x) = c|x| is symmetric about the y-axis" is always true

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