Math Problem Statement
What is the range of this function?
Solution
The graph in the image shows a linear function that is represented by a straight line. The range of a function is the set of all possible output values (y-values) that the function can produce.
Since the line extends infinitely in both the positive and negative directions along the y-axis, the range of the function is all real numbers.
Thus, the range of the function is:
Would you like more details or have any questions?
Here are five related questions for further exploration:
- What is the domain of this function?
- How do you find the slope of the line given two points on the graph?
- What would be the equation of this line in slope-intercept form?
- How do you determine whether a function is linear or nonlinear from its graph?
- What is the significance of the x-intercept and y-intercept of a linear function?
Tip: Remember, for a linear function, the range will always be all real numbers unless the line is horizontal.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Functions
Linear Functions
Range of a Function
Formulas
-
Theorems
-
Suitable Grade Level
Grades 9-12