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.