Answer: f(-4) = 13
Put the value of x = -4 to the equation of the function:
f(x) = 5 + 2|x|
f(-4) = 5 + 2|-4| = 5 + 2(4) = 5 + 8 = 13
|a| = a for a ≥ 0
examples: |3| = 3, |0.5| = 0.5, |123| = 123
|a| = -a for a < 0
examples: |-3| = -(-3) = 3, |-0.5| = -(-0.5) = 0.5, |-123| = 123