The function given is:

\[
f(x) = 4x - 8
\]

This is a linear function, where:
- The slope is 4 (indicating how fast the function rises or falls as \(x\) changes).
- The y-intercept is \(-8\) (the value of \(f(x)\) when \(x = 0\)).

To analyze further:
- **Domain**: The domain of a linear function like this is all real numbers \( (-\infty, \infty) \).
- **Range**: The range is also all real numbers \( (-\infty, \infty) \).
- **Slope-Intercept Form**: The function is already in the form \(y = mx + b\), where \(m = 4\) and \(b = -8\).
  
If you'd like to graph this function, it will be a straight line passing through the point \( (0, -8) \) and increasing at a rate of 4 units in the \(y\)-direction for every 1 unit in the \(x\)-direction.

Would you like to see more details or have questions on this?

Here are some related questions to explore further:
1. How would you find the x-intercept of \( f(x) = 4x - 8 \)?
2. What is the inverse function of \( f(x) = 4x - 8 \)?
3. How do you graph linear functions like \( f(x) = 4x - 8 \)?
4. What is the effect of changing the slope in a linear function?
5. How do you solve \( f(x) = 0 \) for this function?

**Tip**: When graphing, always find the intercepts and slope to make your work easier.

Explore the linear function f(x) = 4x - 8, where the slope is 4 and the y-intercept is -8. This page covers key algebraic concepts, such as the slope-intercept form and how to find x-intercepts. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation