Math Problem Statement
What is the range of the function graphed below?
Solution
The graph shows a function that starts at and increases indefinitely as it moves to the right. This suggests that the function has a minimum -value of 2 and continues upward without bound. Therefore, the range of the function is:
This means that the -values begin at 2 and increase towards infinity.
Would you like further explanation or details on this? Here are five follow-up questions for you:
- What is the domain of this function based on the graph?
- How would you determine the domain and range for more complex functions?
- What types of functions have a range that extends to negative infinity?
- How does the behavior of the graph at affect its range?
- What does the range of a quadratic function typically look like?
Tip: To determine the range of any function, focus on the possible output values (or -values) it can take as varies.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Algebra
Functions
Graphing
Formulas
-
Theorems
-
Suitable Grade Level
Grades 9-10