The problem asks to complete the table based on the given function, which is $5x + 1$. Here's how we can fill in the table step-by-step:

Given Function:

$f(x) = 5x + 1$

Calculations:

For each value of $x$, we'll substitute it into the function:

1. For $x = 0$: $f(0) = 5(0) + 1 = 0 + 1 = 1$

2. For $x = 1$: $f(1) = 5(1) + 1 = 5 + 1 = 6$

3. For $x = 2$: $f(2) = 5(2) + 1 = 10 + 1 = 11$

4. For $x = 3$: $f(3) = 5(3) + 1 = 15 + 1 = 16$

5. For $x = 4$: $f(4) = 5(4) + 1 = 20 + 1 = 21$

Completed Table:

Would you like any further details or have questions about these calculations?

Related Questions:

1. How would the values change if the function were $5x - 1$ instead?
2. What is the effect of changing the multiplier from 5 to another number?
3. How would you graph the function $5x + 1$ using the table values?
4. What happens if you substitute negative values for $x$?
5. Can you find the inverse of the function $5x + 1$?

Tip:

When working with functions, always substitute carefully and simplify step-by-step to avoid mistakes!