Math Problem Statement
Which answer choice best describes f(x) = x - 12?
Solution
The problem on your screen is asking for the best description of the function .
Step-by-step analysis:
-
Function Form: is a linear function because it can be written in the slope-intercept form , where is the slope, and is the y-intercept. Here:
- The slope (since the coefficient of is 1),
- The y-intercept .
-
Linear Variation: A direct linear variation implies that there is a constant rate of change, and this rate is represented by the slope . In this case, the constant variation is 1, as that is the slope of the function.
-
Answer: The best answer is:
"The relationship shows a direct linear variation with a constant of variation of 1."
Do you want any further details or have any questions?
Relative Questions:
- What is the general form of a linear function?
- How can we find the slope of a linear function?
- How does the y-intercept affect the graph of a linear function?
- What is the meaning of "direct variation" in linear functions?
- Can a
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Linear Functions
Slope-Intercept Form
Formulas
y = mx + b
Theorems
Direct Linear Variation
Slope of a Line
Suitable Grade Level
Grades 6-8