What is the value of f(-4)? f(x) = {-10 if x < - 5 {x (to the third power) if -5 < _ x< _ 2 {2x + 4 if x > 2 a. -64 b. -12 c. -10 d. -4

Given is a piecewise function which follows different expressions according the the value of input x.

Given

It says to find f(-4) i.e. the value of function f(x) at x = -4.

At point x = -4, f(x) is x³, if -5 ≤ x ≤ 2.

So, f(-4) = (-4)³

f(-4) = -4 × -4 × -4

f(-4) = -64.

Hence, option A is correct i.e. -64.

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