Answer:
all real numbers greater than or equal to -3
Step-by-step explanation:
Range: output values of a function (y-values)
Given function:
[tex]f(x)=\dfrac{3}{4}|x|-3[/tex]
This is an absolute value function so |x| ≥ 0
Therefore, as |x| ≥ 0:
[tex]\implies \dfrac{3}{4}|x|\geq 0[/tex]
[tex]\implies \dfrac{3}{4}|x|-3\geq -3[/tex]
So the range of the given function is [-3, ∞):
all real numbers greater than or equal to -3
