Math Problem Statement

f(x) = -2x + 4

Solution

The given function is:

f(x)=2x+4f(x) = -2x + 4

This is a linear function, where:

  • Slope (m): -2, which means the line decreases by 2 units for every 1 unit increase in xx.
  • Y-intercept (b): 4, which means the line crosses the y-axis at y=4y = 4.

Would you like more details on this function or how it behaves graphically?

Here are some related questions to expand your understanding:

  1. What is the slope-intercept form of a linear equation?
  2. How do you find the x-intercept of a linear function?
  3. What does the slope of a line represent in a real-world context?
  4. How can you determine if two lines are parallel using their equations?
  5. How would the graph of f(x)=2x+4f(x) = -2x + 4 change if the slope were positive?

Tip: A negative slope indicates that the function is decreasing; as xx increases, f(x)f(x) decreases.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Slope-intercept form: y = mx + b

Theorems

Slope-intercept theorem

Suitable Grade Level

Grades 7-10