Question

The function g(x) is defined as shown.



StartLayout enlarged left-brace 1st row 1st column 3x minus 2, 2nd column negative 4 less-than-or-equal-to x less-than negative 2 2nd row 1st column negative x minus 1, 2nd column negative 2 less-than-or-equal-to x less-than 1 3rd row 1st column 6, 2nd column 1 less-than-or-equal-to x less-than-or-equal-to 3 EndLayout

What is the value of g(0)?

−2
−1
3
6

Answer 1

0 lies in the interval −2 ≤ x < 1, so use g(x) = −x − 1. Thus g(0) = −0 − 1 = −1.