Math Problem Statement
ما مدى الدالة الممثلة في الشكل المجاور؟
Solution
The image shows a graph of a function, and the question asks for the range of the function represented in the graph. Let's analyze the graph:
- The graph seems to be a cubic function with two turning points, and it reaches its minimum and maximum at and respectively.
- The question offers four choices for the range:
- All real numbers
Based on the visual inspection, the function has values ranging from to . Therefore, the correct range of the function is , which corresponds to choice D.
Would you like more details or have any further questions?
Here are 5 related questions:
- What is the domain of the given function?
- How do we determine the range of a function graphically?
- Can a cubic function have a range of all real numbers?
- How does the shape of the graph help in identifying critical points?
- How do we calculate turning points for a cubic function?
Tip: The range of a function is the set of all possible output values (y-values) that the function can take. You can find it by looking at the vertical extent of the graph.
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Math Problem Analysis
Mathematical Concepts
Graph Analysis
Range of Functions
Cubic Functions
Formulas
Range of a function based on its graph
Theorems
Range Theorem for Continuous Functions
Suitable Grade Level
Grades 10-12