Write the parent function equation for an absolute value function

So parent function of absolute value is y = | x |. If x is positive, it comes out positive (with x ≥ 0, y = x) and if x is negative, it comes out positive (with x < 0, y = -x) so you create a piecewise function.

Step-by-step explanation:

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problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

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