Math Problem Statement

What is the function of f(x) = 4x + 7?

Solution

The function shown in the image is f(x)=4x+7f(x) = 4x + 7.

This is a linear function where:

  • The slope (rate of change) is 4.
  • The y-intercept (the point where the function crosses the y-axis) is 7.

Would you like me to provide further details on this function or explore related concepts?

Here are five questions related to this function:

  1. What is the value of f(x)f(x) when x=2x = 2?
  2. How would you graph the function f(x)=4x+7f(x) = 4x + 7?
  3. How does changing the slope affect the function?
  4. What is the inverse of f(x)=4x+7f(x) = 4x + 7?
  5. How would you determine the x-intercept of this function?

Tip: For any linear function f(x)=mx+bf(x) = mx + b, the slope mm represents how steep the line is, and bb indicates where the line crosses the y-axis.

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Math Problem Analysis

Mathematical Concepts

Linear Functions
Algebra

Formulas

f(x) = mx + b

Theorems

Slope-Intercept Form of Linear Equations

Suitable Grade Level

Grades 7-10