Chapter 2.2, Problem 12SB

Use the given graph the function $f$ to answer parts (a)-(n).

(a) Find $f\left(0\right)$ and $f\left(6\right)$.

(b) Find $f\left(2\right)$ and $f\left(-2\right)$.

(c) Is $f\left(3\right)$ positive or negative?

(d) Is $f\left(-1\right)$ positive or negative?

(e) For what values of $x$ is $f\left(x\right)\text{ = 0}$?

(f) For what values of $x$ is $f\left(x\right)<\text{ 0}$?

(g) What is the domain of $f$?

(h) What is the range of $f$?

(i) What are the $x\text{-intercepts}$?

(j) What is the $y\text{-intercept}$?

(k) How often does the line $y=-1$ intersect the graph?

(l) How often does the line $x=1$ intersect the graph?

(m) For what values of $x$ does $f\left(x\right)=3$?

(n) For what values of $f\left(x\right)=-2$?