Math Problem Statement
F(x)=3x-7
Solution
The function you provided is .
Key features of this linear function:
- Slope (m): The coefficient of , which is 3. This means for every unit increase in , increases by 3.
- Y-intercept (b): The constant term, which is -7. This is the value of when , meaning the line crosses the y-axis at .
- Domain: Since this is a linear function, the domain is all real numbers, .
- Range: Similarly, the range is also all real numbers, .
Would you like a more detailed explanation or visualization?
Here are some related questions:
- What is the slope-intercept form of a linear equation?
- How do you find the x-intercept of ?
- Can you find the inverse of the function ?
- How do you graph the function ?
- What are the properties of a linear function?
Tip: The slope of a linear function determines its steepness; a larger slope means a steeper line.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Functions
Formulas
Slope-intercept form: F(x) = mx + b
Theorems
Slope-Intercept Theorem
Suitable Grade Level
Grades 6-8