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what is the range of the function f(x) = 3/4 |x| - 3

PLEASE HELP Answer Correctly What Is The Range Of The Function Fx 34 X 3 class=

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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

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