Let and for . Determine the interval(s) of on which is increasing with respect to .…

MATHEMATICS · Subjective · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

Let

x(t)=t^{2}-4t

and

y(t)=t^{3}-3t

for

-1\le t\le 5

. Determine the interval(s) of

t

on which

y

is increasing with respect to

x

. Express your answer as a union of open intervals.