Math Problem Statement

Use the graph of the function to find the domain and range of f. (Enter your answer using interval notation.)

Solution

To determine the domain and range of a function f(x)f(x) using its graph, follow these steps:

1. Domain:

The domain represents all possible xx-values for which the function is defined. Look at the graph from left to right to identify the smallest and largest xx-values covered by the graph.

2. Range:

The range represents all possible yy-values that the function can take. Look at the graph from bottom to top to find the minimum and maximum yy-values.

Since you mentioned there's a graph, but didn't provide it, I can't give the exact interval. However, if you upload or describe the graph, I'll be able to provide the specific domain and range.

Would you like to upload the graph or provide more details?

Here are 5 relevant questions to deepen your understanding:

  1. How can we determine if a function is continuous or not from its graph?
  2. What does it mean if the domain or range is all real numbers (,)(-∞, ∞)?
  3. How do you find the domain if the function has breaks or holes?
  4. What impact do asymptotes have on the domain and range?
  5. How do transformations (shifts, stretches) affect the domain and range?

Tip: When identifying the domain and range, always consider whether the function reaches the boundary values or just approaches them (open or closed intervals).

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Math Problem Analysis

Mathematical Concepts

Functions
Graphing
Domain and Range

Formulas

-

Theorems

The concept of domain and range from graph interpretation

Suitable Grade Level

Grades 9-12