What is the range of the function f (x) = 3/4 |x|-3 A, all real numbers B. all real numbers less than or equal to 3 C. all real numbers less than or equal to - 3 D. all real numbers greater than or equal to - 3

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Mathematics

Imani Chen

19 July, 05:53

What is the range of the function f (x) = 3/4 |x|-3 A, all real numbers B. all real numbers less than or equal to 3 C. all real numbers less than or equal to - 3 D. all real numbers greater than or equal to - 3

+3

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Beaux · Answer 1

This is an absolute value function.

Were it not for that "-3" in f (x) = 3/4 |x|-3, the vertex of the graph would be on the x-axis.

But that "-3" causes a downward vertical translation of 3 units.

Thus, the smallest possible y value is - 3; there is no limit on y otherwise.

Range is [-3, infinity]