Math Problem Statement
What is the range of the function based on the graph?
Solution
The graph shown represents a portion of a linear function. The question asks for the range of the function, which refers to the possible values of based on the graph.
To determine the range, observe the -values the line covers on the graph:
- The line extends from at the lowest point, where , to at the highest point, where .
- Since this is a straight line segment, the range consists of all -values between and .
Thus, the range of the function is:
Would you like more details or clarification on any part of this explanation?
Here are 5 related questions to expand on this concept:
- What is the domain of this linear function?
- How would the range change if the line extended further in either direction?
- What is the slope of the line based on the graph?
- How would you write the equation of this line?
- How does the range of a function differ from its domain?
Tip: In linear functions, the range is determined by the minimum and maximum -values that the line reaches within the given domain.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Functions
Formulas
y = mx + b (equation of a line)
Theorems
Range and domain of linear functions
Suitable Grade Level
Grades 6-8