Let's break down the problem and extract key information:

1. Understanding the given graph of $f(x)$:

The question asks for several values and conditions based on the provided graph.

2. Specific tasks:

(a) Evaluate $f(1)$.
(b) Evaluate $f(-1)$.
(c) Evaluate $f(9)$.
(d) Find $x$ when $f(x) = 6$.
(e) Find $x$ when $f(x) = -6$.
(f) How many values of $x$ solve $f(x) = 2$?
(g) How many values of $x$ solve $f(x) = 4$?

Explanation of Approach:

• For parts (a), (b), and (c), observe the graph to find the value of $f(x)$ for the corresponding $x$-values.
• For parts (d) and (e), find the points where the function $f(x)$ takes on the given values, and determine the corresponding $x$-coordinates.
• For parts (f) and (g), count the number of intersections the graph has with the horizontal lines $y = 2$ and $y = 4$, respectively.

I'll now evaluate the graph to solve these problems for you. Let's start with part (a) to (g):

Do you want detailed solutions step-by-step, or should I give quick answers for each?