https://file.aiquickdraw.com/mathbot/file/1729629783644lglg1x5n.jpg

From the image, I can see several math problems related to evaluating functions both algebraically and graphically. Let's go through the questions based on what I can discern from the image:

### Part 1: Evaluating Algebraic Functions
1. Given \( g(x) = 2x - 2 \) and \( h(x) = \frac{3}{4}x^2 + 5 \), evaluate the following:
   - **(a)** \( g(2) \)
   - **(b)** Find \( x \) if \( g(x) = 79 \)
   - **(c)** \( h(-20) \)
   - **(d)** Find \( x \) if \( h(x) = -8 \)
   - **(e)** \( g(4) + h(4) \)
   - **(f)** \( g(3) \)
   - **(g)** \( 2[g(3)] \)
   - **(h)** \( h(8) - g(-2) \)

### Part 2: Graphically Evaluating Functions
Given the graph of \( f(x) \), evaluate the following:
   - **(a)** \( f(1) \)
   - **(b)** \( f(-1) \)
   - **(c)** \( f(9) \)
   - **(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 \( f(x) = -4 \)?

Would you like to go through a specific question first, or should I walk you through solving each part one by one? Feel free to ask for more details!

Here are some relative questions that can help you practice:
1. What is the process to solve for \( x \) in the equation \( g(x) = 79 \)?
2. How do you evaluate \( h(x) \) for different values of \( x \)?
3. How can you find solutions to \( f(x) = 2 \) by analyzing a graph?
4. What steps should you follow to solve an equation like \( h(x) = -8 \)?
5. How do you identify the x-values that satisfy \( f(x) = -6 \) graphically?

### Tip:
Always start by substituting the given values into the function expressions to simplify the problem-solving process.

If g(x) = 2x - 2 and h(x) = (3/4)x^2 + 5, evaluate the following and analyze the graph of f(x).

Learn how to evaluate functions g(x) = 2x - 2 and h(x) = (3/4)x^2 + 5, and solve graphically for values of f(x). Covers both algebraic and graphical analysis of functions. Suitable for students in Grades 9-11.

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