What is the range of the function f(x) = |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

Respuesta :

Why not draw the graph of y=|x|?  It has a v-shape, and the vertex is at (0,0).

The graph of f(x) = |x| - 3 looks exactly the same, EXCEPT that the whole graph of |x| is shifted 3 units downward.  The smallest value that y can have is therefore -3.

Can you now figure out the range of f(x)?

Answer:

Answer is D all real numbers greater than or equal to –3

Step-by-step explanation: