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The problem asks you to evaluate two functions, \( f(x) \) and \( g(x) \), for various values of \( x \). 

**Given:**
- Function \( f(x) = 2x - 7 \)
- Function \( g(x) = 5 \)

### Part (a):
Find \( f(3), f(2), f(1), f(0), \) and \( f(-1) \).

Using the formula for \( f(x) = 2x - 7 \):

1. \( f(3) = 2(3) - 7 = 6 - 7 = -1 \)
2. \( f(2) = 2(2) - 7 = 4 - 7 = -3 \)
3. \( f(1) = 2(1) - 7 = 2 - 7 = -5 \)
4. \( f(0) = 2(0) - 7 = 0 - 7 = -7 \)
5. \( f(-1) = 2(-1) - 7 = -2 - 7 = -9 \)

### Part (b):
Find \( g(3), g(2), g(1), g(0), \) and \( g(-1) \).

Since the function \( g(x) = 5 \) is a constant, the value of \( g(x) \) is always 5, regardless of the input \( x \).

1. \( g(3) = 5 \)
2. \( g(2) = 5 \)
3. \( g(1) = 5 \)
4. \( g(0) = 5 \)
5. \( g(-1) = 5 \)

### Summary of results:
- **For part (a):**
  - \( f(3) = -1 \)
  - \( f(2) = -3 \)
  - \( f(1) = -5 \)
  - \( f(0) = -7 \)
  - \( f(-1) = -9 \)
  
- **For part (b):**
  - \( g(3) = 5 \)
  - \( g(2) = 5 \)
  - \( g(1) = 5 \)
  - \( g(0) = 5 \)
  - \( g(-1) = 5 \)

Let me know if you'd like more details or further explanations!

Here are 5 related questions to deepen your understanding:
1. How would the graph of \( f(x) = 2x - 7 \) look, and what are its slope and y-intercept?
2. What happens to the function \( f(x) \) if we modify it to \( f(x) = 3x - 7 \)?
3. How do you interpret a constant function like \( g(x) = 5 \) graphically?
4. What effect would adding a term to \( g(x) \), like \( g(x) = 5 + x \), have on the function's behavior?
5. Can you think of real-world examples where constant functions like \( g(x) = 5 \) might be useful?

**Tip:** Always double-check your calculations by substituting values back into the equation, especially when dealing with negative signs!

Function f is defined by f(x) = 2x - 7 and g is defined by g(x) = 5.

a. Find f(3), f(2), f(1), f(0), and f(-1).
b. Find g(3), g(2), g(1), g(0), and g(-1).

Learn how to solve function evaluations for linear and constant functions. This example covers the function f(x) = 2x - 7 and g(x) = 5, walking through step-by-step solutions for values of x = 3, 2, 1, 0, and -1. Perfect for Grades 6-8 students.

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