Math Problem Statement
What is the function of f(x) = 4x + 7?
Solution
The function shown in the image is .
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:
- What is the value of when ?
- How would you graph the function ?
- How does changing the slope affect the function?
- What is the inverse of ?
- How would you determine the x-intercept of this function?
Tip: For any linear function , the slope represents how steep the line is, and 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