Math Problem Statement

what is the range and domain

What is the range and domain?

Solution

From the graph you uploaded, it appears to be a quadratic or parabolic graph, opening downward, with the x-axis and y-axis labeled, and specific points on the graph are marked.

To find the domain and range of this graph:

Domain:

The domain refers to all the possible x-values the function can take. From the graph, the x-values range from 12-12 to 66 (the points where the curve starts and ends horizontally).

Domain: [12,6][-12, 6]

Range:

The range refers to all the possible y-values the function takes. The highest point on the graph is at y=18y = 18, and the lowest point is at y=0y = 0, so the y-values range from 00 to 1818.

Range: [0,18][0, 18]

Would you like more details or explanations?

Here are 5 related questions you might find useful:

  1. How do you determine the domain of a function from a graph?
  2. What is the significance of the highest and lowest points on a parabola?
  3. How can we express the domain and range of a function using interval notation?
  4. What is the difference between a continuous and discrete graph in terms of domain and range?
  5. How does the shape of the graph affect the domain and range of the function?

Tip: Always look at the x-axis to determine the domain and the y-axis to determine the range of a graph.

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Math Problem Analysis

Mathematical Concepts

Functions
Quadratic Graphs
Domain and Range

Formulas

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Theorems

Quadratic function properties
Definition of domain and range

Suitable Grade Level

Grades 9-12