https://file.aiquickdraw.com/mathbot/file/1725720837885j7d09dn1.jpg

The exercise in the image asks to evaluate functions. I'll transcribe and solve the two exercises for you:

### Exercises:
1. \( f(x) = 2x + 3 \)
2. \( f(x) = 2x - 7 \)

Let's proceed with solving these functions:

### Solution:

1. For \( f(x) = 2x + 3 \), we evaluate the function for a given value of \( x \).
   - If \( x = 0 \): 
     \[
     f(0) = 2(0) + 3 = 0 + 3 = 3
     \]
   - If \( x = 1 \):
     \[
     f(1) = 2(1) + 3 = 2 + 3 = 5
     \]
   - If \( x = -1 \):
     \[
     f(-1) = 2(-1) + 3 = -2 + 3 = 1
     \]

2. For \( f(x) = 2x - 7 \), let's evaluate the function:
   - If \( x = 0 \): 
     \[
     f(0) = 2(0) - 7 = 0 - 7 = -7
     \]
   - If \( x = 1 \):
     \[
     f(1) = 2(1) - 7 = 2 - 7 = -5
     \]
   - If \( x = -1 \):
     \[
     f(-1) = 2(-1) - 7 = -2 - 7 = -9
     \]

Would you like further explanation, or do you have any questions?

### Related Questions:
1. What happens if you evaluate \( f(x) \) for \( x = 2 \)?
2. How do you find the domain of a linear function?
3. What is the range of a linear function like \( f(x) = 2x + 3 \)?
4. How can you verify the result of function evaluation graphically?
5. What is the significance of the slope and intercept in a function like \( f(x) = 2x + 3 \)?

### Tip:
When evaluating functions, always substitute the value of \( x \) carefully and simplify step by step to avoid mistakes.

Learn how to evaluate linear functions with examples. This exercise involves solving functions like f(x) = 2x + 3 and f(x) = 2x - 7 for different values of x. Suitable for Grade 9 students.

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