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:

  • The slope (rate of change) is 2-2.
  • The y-intercept is 44, meaning the line crosses the y-axis at the point (0,4)(0, 4).

If you need further details or have any questions, feel free to ask!

Here are five related questions that you might find useful:

  1. What is the value of f(x)f(x) when x=2x = 2?
  2. How would the graph of f(x)=2x+4f(x) = -2x + 4 look?
  3. How do you find the x-intercept of this function?
  4. How would the slope change if the equation was f(x)=2x+6f(x) = -2x + 6?
  5. How would you calculate the inverse of this linear function?

Tip: To find the x-intercept of a linear equation, set f(x)=0f(x) = 0 and solve for xx.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Algebra

Formulas

f(x) = mx + b

Theorems

Slope-Intercept Theorem

Suitable Grade Level

Grades 7-9