Math Problem Statement

Write the domain and range of the function using interval notation based on the given graph.

Solution

Based on the graph in the image, you're working with a function that appears to be a parabola. Let's break this down to find the domain and range:

  • Domain: The domain is the set of all possible x-values (input values) for which the function is defined. From the graph, it looks like the parabola spans the x-values from 10 to 14. So, the domain is correctly written as [10,14][10, 14], which you have already filled in.

  • Range: The range is the set of all possible y-values (output values) the function can take. The lowest point of the parabola occurs at around y=10y = -10, and the highest points (on both sides) appear to be at y=2y = -2. So, the range of the function is [10,2][-10, -2].

Thus, the range should be written as:

[10,2][-10, -2]

Would you like further details on how to identify domain and range from a graph?

Here are 5 questions to expand your understanding:

  1. What is the difference between domain and range in a function?
  2. How do you find the range of more complex functions from a graph?
  3. Can a function have an unlimited domain or range? In what cases?
  4. How does the shape of a graph help in determining its range?
  5. What are the characteristics of a function that make its range limited?

Tip: Always look for the highest and lowest points of the graph to easily determine the range.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Functions
Domain and Range

Formulas

-

Theorems

-

Suitable Grade Level

Grades 8-10