Math Problem Statement

What is the range of the function shown below?

Solution

The graph depicts a function that is graphed in the second quadrant, where the yy-values are either zero or negative. The function starts from the origin (0,0) and curves downward.

Step-by-step analysis:

  1. Range of a function refers to the set of all possible yy-values.
  2. In this case, the graph only includes yy-values that are either zero or less than zero. Hence, the range is y0y \leq 0.

Correct Answer:

The correct choice is: 3) y0\boxed{3) \ y \leq 0}

Would you like more details, or do you have any questions about this?

Here are 5 related questions to expand on this concept:

  1. What is the domain of this function?
  2. How do you find the range of any function in general?
  3. What transformations would shift this graph to the right?
  4. How can the graph of this function be reflected over the y-axis?
  5. What type of function might this be based on its shape?

Tip: To find the range of any function, focus on the yy-values covered by the graph from its lowest to highest point.

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Math Problem Analysis

Mathematical Concepts

Graph of Functions
Range of a Function

Formulas

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Theorems

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Suitable Grade Level

Grades 8-10