Question

What is g(x)?

O A. g(x) = -lxl
O B. g(x) = -X
O C. g(x) = -2^x
O D. g(x) = -x^2​

Answer 1

Answer: Choice A. g(x) = -|x|

Step-by-step explanation:

The V shape implies we are dealing with absolute value. So the answer must be choice A as its the only function that has absolute value. The negative out front flips the parent function f(x) = |x| over the x axis. Normally |x| is always positive (assuming x is not zero), so -|x| is always negative for nonzero x values.

Extra info: an absolute value graph is a piecewise function of two separate linear functions. In this case, the left branch is y = x and the right branch is y = -x.