https://file.aiquickdraw.com/mathbot/file/17270470074695h72k0d8.jpg

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 \( [-4, 5] \).

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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.).

Use the graph of y = f(x) to answer the following: a) f(-3), b) f(0), c) Find all x for which f(x) = -1, d) Find all x for which f(x) = 1, e) Determine the x-intercept, f) Determine the y-intercept, g) Determine the domain of f, h) Determine the range of f.

Learn how to interpret the graph of a function to find specific values like f(-3), f(0), intercepts, and x-values for which f(x) equals certain values. This problem also covers finding the domain and range of the function. Suitable for students in Grades 9-12.

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