Let's go through the questions using the graph provided in the image.

a. $f(-3)$:

To find $f(-3)$, locate $x = -3$ on the x-axis and find the corresponding y-value on the graph. The point on the graph at $x = -3$ has a y-value of approximately $2$.

• Answer: $f(-3) = 2$.

b. $f(0)$:

To find $f(0)$, locate $x = 0$ on the x-axis and find the corresponding y-value on the graph. The point on the graph at $x = 0$ has a y-value of approximately $3$.

• Answer: $f(0) = 3$.

c. Find all $x$ for which $f(x) = -1$:

To find all $x$ for which $f(x) = -1$, identify where the graph intersects the line $y = -1$. The graph intersects $y = -1$ at $x = -5$ and $x = -1$.

• Answer: $x = -5$ and $x = -1$.

d. Find all $x$ for which $f(x) = 1$:

To find all $x$ for which $f(x) = 1$, identify where the graph intersects the line $y = 1$. The graph intersects $y = 1$ at $x = 2$ and $x = 4$.

• Answer: $x = 2$ and $x = 4$.

e. Determine the x-intercept:

The x-intercept is where the graph crosses the x-axis. The graph crosses the x-axis at $x = -2$.

• Answer: The x-intercept is $x = -2$.

f. Determine the y-intercept:

The y-intercept is where the graph crosses the y-axis. The graph crosses the y-axis at $y = 3$.

• Answer: The y-intercept is $y = 3$.

g. Determine the domain of $f$:

The domain of $f$ is the set of all possible x-values for which the function is defined. The graph is defined for $x$ values from $-5$ to $5$.

• Answer: The domain is $[-5, 5]$.

h. Determine the range of $f$:

The range of $f$ is the set of all possible y-values that the function can take. The y-values range from $-4$ to $5$.

• Answer: The range is $[-4, 5]$.

Do you want more details or have any questions on this? Here are five related questions for further practice:

1. What is the value of $f(4)$?
2. For what value of $x$ does $f(x) = 5$?
3. Describe the symmetry of the function shown.
4. Is the function increasing or decreasing at $x = -2$?
5. Determine if $f(x)$ is a one-to-one function based on the graph.

Tip: When interpreting graphs, always pay attention to where the function intersects key points like the axes or specific horizontal lines (e.g., $y = 0$, $y = 1$, etc.).