The intercepts if any its domain and range the intervals on

The intercepts, if any its domain and range the intervals on which it is increasing, decreasing, or constant whether it is even, odd, or neither What are the intercepts?

Solution

a)

x-intercepts are (-2,0),(2,0)

y-intercept is (0,1)

b)

Domain is [-3,3] and range is [0,2]

c)

Increasing (-2,0)U(2,3)

decreasing (-3,-2)U(0,2)

Constant : NEVER

d)

EVEN function, as it is symmetrcial about y-axis