Fill in the table using the function rule y=4x+2 for x values -1, 0, 1, 2.

Check the final answer first, then review the worked steps.

Problem

Fill in the table using the function rule y=4x+2 for x values -1, 0, 1, 2.

Answer

\(The completed table has the following y-values: -2, 2, 6, 10.\)

Step-by-step solution

1. Understand the Function Rule: The problem provides a function rule, $y = 4x + 2$. This rule tells us how to find the value of $y$ for any given value of $x$.
2. Evaluate for x = -1: Substitute $x = -1$ into the function rule:
$y = 4(-1) + 2$
$y = -4 + 2$
$y = -2$
3. Evaluate for x = 0: Substitute $x = 0$ into the function rule:
$y = 4(0) + 2$
$y = 0 + 2$
$y = 2$
4. Evaluate for x = 1: Substitute $x = 1$ into the function rule:
$y = 4(1) + 2$
$y = 4 + 2$
$y = 6$
5. Evaluate for x = 2: Substitute $x = 2$ into the function rule:
$y = 4(2) + 2$
$y = 8 + 2$
$y = 10$
6. Fill the Table: Now, fill in the corresponding $y$ values in the table for each $x$ value.