Math Problem Statement
Solution
The image shows a graph of an absolute value function, which has a V-shape. The vertex of the graph is at the origin (0, 0), and the function opens upwards.
For absolute value functions of the form , the range consists of all possible -values that the function can take. Since absolute value functions are always non-negative, the graph starts at and goes upwards.
Range: The range of this absolute value function is: This means the function can take any value from 0 and higher.
Would you like further explanation or have any questions?
Here are five related questions for further exploration:
- How do you find the domain of an absolute value function?
- What are the properties of the vertex of an absolute value function?
- How does shifting an absolute value function vertically affect its range?
- What is the difference between the range of and ?
- How can we solve equations involving absolute value functions?
Tip: The range of any absolute value function is always when the graph opens upwards.
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Math Problem Analysis
Mathematical Concepts
Algebra
Functions
Absolute Value
Formulas
f(x) = |x|
Range of absolute value function: [0, ∞)
Theorems
Absolute Value Function Theorem
Suitable Grade Level
Grades 7-9