Question

Show how to evaluate the equation for x = 2 and x = 6. Plug in the x values, then evaluate.

Answer 1

To evaluate an equation for specific values of \( x \), you need to substitute those values into the equation and then perform the calculations.

Let's say we have a general equation \( f(x) \). For demonstration, I'll use a simple equation like \( f(x) = x^2 + 3x + 1 \).

### Step 1: Plug in \( x = 2 \)

1. Substitute \( x = 2 \) into the equation:
\[
f(2) = (2)^2 + 3(2) + 1
\]

2. Calculate:
\[
f(2) = 4 + 6 + 1 = 11
\]

### Step 2: Plug in \( x = 6 \)

1. Substitute \( x = 6 \) into the equation:
\[
f(6) = (6)^2 + 3(6) + 1
\]

2. Calculate:
\[
f(6) = 36 + 18 + 1 = 55
\]

### Summary of the results:
- For \( x = 2 \), \( f(2) = 11 \)
- For \( x = 6 \), \( f(6) = 55 \)

You can replace \( f(x) = x^2 + 3x + 1 \) with any other equation, just follow the same substitution and evaluation steps.