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
Accepted Solution
A:
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.