Math Problem Statement

Identify the domain and range in both interval and set notation.

Identify the domain and range in both interval and set notation.

Solution

The graph you've uploaded shows a V-shaped function. This is most likely an absolute value function, and we can analyze the domain and range based on its behavior.

Domain:

  • The graph extends horizontally from 3-3 to 55 on the x-axis.
  • In interval notation, the domain is: [3,5][-3, 5]
  • In set notation, the domain is: {x3x5}\{x \mid -3 \leq x \leq 5 \}

Range:

  • The graph extends vertically from y=0y = 0 to y=5y = 5.
  • In interval notation, the range is: [0,5][0, 5]
  • In set notation, the range is: {y0y5}\{y \mid 0 \leq y \leq 5 \}

Would you like more details or have any further questions?

Related questions:

  1. What is the equation of this absolute value function?
  2. How do you find the vertex of the graph of an absolute value function?
  3. How would the domain and range change if the graph extended infinitely in either direction?
  4. What transformations could be applied to the absolute value function to change its shape?
  5. How do we describe this function in piecewise form?

Tip:

When analyzing graphs, always look at the x-values for the domain and the y-values for the range, noting any minimums or maximums.

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Math Problem Analysis

Mathematical Concepts

Graph Analysis
Domain and Range
Absolute Value Functions

Formulas

Absolute value function: f(x) = |x|
Domain and Range concepts

Theorems

Properties of absolute value functions
Definition of domain and range

Suitable Grade Level

Grades 9-10