Question

PLS HELP Evaluate the piecewise function at the indicated values from the domain

Answer 1

Answer: Choice A.    f(-8) = 64

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Explanation:

Piecewise functions are admittedly a bit confusing at first if you aren't familiar with them.

However, they aren't too bad. Effectively we have two functions going on depending on what the input is.

If the input x is less than 0, then we go for the top row and say $f(x) = x^2$

OR

If the input x is greater than 0, then we go for the bottom row to say $f(x) = \sqrt[3]{x}$

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In this case, the input is x = -8. So we go for the first row since this x value satisfies x < 0.

We would then say:

$f(x) = x^2\\\\f(-8) = (-8)^2\\\\f(-8) = 64$

Which points us to choice A as the final answer.

Answer 2

Answer:

f(-8) = 64

Step-by-step explanation:

Input -8 into one of the formulas (either will work) and the answer should be 64. therefore, if x is -8, f(-8) would equal 64.