QuestionFind the intercepts, domain, range, and intervals of increase/decrease for the function $f$ with points (-3,3), (-2,0), (0,1), (2,0), (3,3). Is it even, odd, or neither?

Studdy Solution
We see that $f(-3) = f(3)$ and $f(-2) = f(2)$, so the function is even.
The intercepts are at (-2,0), (2,0), and (0,). The domain is [-3,3] and the range is [0,3]. The function is increasing on the intervals (-3,-2) and (2,3), constant on the interval (-2,0), and decreasing on the interval (0,2). The function is even.