f ( x )

The function you're working with is:

$f(x) = -4x + 8$

Key Properties:

1. Slope: The slope of the function is $-4$, which means the line is decreasing at a rate of 4 units vertically for every 1 unit horizontally.
2. Y-intercept: The y-intercept is 8, which means the line crosses the y-axis at $(0, 8)$.

General Form:

This is a linear function of the form $f(x) = mx + b$, where $m$ is the slope, and $b$ is the y-intercept.

Finding Specific Values:

You can plug in different values of $x$ to find corresponding values of $f(x)$.

For example:

• If $x = 0$: $f(0) = -4(0) + 8 = 8$
• If $x = 2$: $f(2) = -4(2) + 8 = -8 + 8 = 0$

Would you like to:

1. Graph the function?
2. Find the x-intercept?
3. Solve for $f(x)$ when $x$ is a specific value?
4. Explore how to transform this function?
5. Learn about related applications?

Tip:

The slope $-4$ indicates that for every unit increase in $x$, $f(x)$ decreases by 4 units.