ANALYZING RELATIONSHIPS Describe the x-values for which (a) $f$ is increasing or decreasing, (b) $f(x)>0$ and (c) $f(x)<0$ .
A cubic function with turning points is graphed on a coordinate plane. The x-axis is extended from negative 5 to 4, in increments of 1. The y-axis is extended from negative 5 to 4, in increments of 1. The cubic function curve emerges from the point at ordered pair negative 2 comma negative 4, and the first turning point at ordered pair negative 1 comma 0. The second curve is at ordered pair negative 1 comma negative 4. The curve continues to pass through a point at ordered pair 2 comma 0.
a. The function is increasing when
and
and decreasing when
$
.
b. The function is greater than zero when
.
c. The function is less than zero when
$
and
.
