Math Problem Statement
Find the range of the function depicted in the graph.
Solution
To find the range of the function depicted in the graph, we need to identify the minimum and maximum -values that the graph reaches.
Observing the graph:
- The lowest point on the graph is at .
- The graph continues upwards to positive infinity, as indicated by the arrow on the top part of the curve.
From this, we can conclude:
- The range starts at and extends to infinity.
Thus, the correct answer is:
Option B:
Would you like more details or have any questions?
Here are some related questions you might find helpful:
- What does the range of a function represent in mathematical terms?
- How would the range change if the graph had a different minimum point?
- Can the range of a function include infinity in a closed interval?
- What are some methods to determine the range of a function from its equation?
- How does the range relate to the domain of a function?
Tip: Remember, the range represents all possible output values (y-values) of the function. Identifying extreme points on a graph is a quick way to determine it.
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Math Problem Analysis
Mathematical Concepts
Graphing Functions
Range of Functions
Formulas
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Theorems
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Suitable Grade Level
Grades 9-11