Math Problem Statement

What is the equation for the function f(x) = -2x + 4?

Solution

The image shows the function f(x)=2x+4f(x) = -2x + 4. This is a linear equation with a slope of 2-2 and a y-intercept of 44.

Key points:

  • Slope (mm): The coefficient of xx is 2-2, meaning that for every increase of 1 in xx, the value of f(x)f(x) decreases by 2.
  • Y-intercept: The constant term is 44, so the graph of the function crosses the y-axis at y=4y = 4.

Would you like further details on graphing this function or solving specific questions related to it?

Here are 5 related questions for further exploration:

  1. How would the graph of f(x)=2x+4f(x) = -2x + 4 look on the coordinate plane? 2

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Math Problem Analysis

Mathematical Concepts

Linear Functions
Slope-Intercept Form
Algebra

Formulas

f(x) = mx + b
Slope = -2
Y-intercept = 4

Theorems

Linear equation properties

Suitable Grade Level

Grades 7-10