Given is a piecewise function which follows different expressions according the the value of input x.
Given [tex]f(x)=\left \{ {{-10, \;if \;x<5} \atop {x^3, \;if \;-5}\leq x \leq 2} \atop {2x+4, \;if\;x>2} } \right.[/tex]
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.
