Math Problem Statement

what the answer

What is the range of this function?

Solution

The range of a function refers to the set of all possible y-values (outputs) of the function.

From the graph provided, I can see the following points on the function:

  • (-3, 4)
  • (-1, 3)
  • (0, 0)
  • (2, -2)

These are the corresponding y-values:

  • 4
  • 3
  • 0
  • -2

Thus, the range of the function is: {-2, 0, 3, 4}.

The correct answer is the option {-2, 0, 3, 4}.

Do you want more details or have any other questions?

Here are 5 related questions to explore further:

  1. What is the domain of this function?
  2. How do you determine the domain and range from a graph?
  3. What is the difference between domain and range?
  4. How would the range change if the graph were shifted upward?
  5. Can a function have the same y-values (range) at multiple x-values?

Tip: Always look for the lowest and highest y-values when determining the range of a function from its graph.

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Math Problem Analysis

Mathematical Concepts

Functions
Range of a Function
Coordinate Graphing

Formulas

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Theorems

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Suitable Grade Level

Grades 9-12