Questions: Use the graph shown to find the following. (a) The domain and range of the function (b) The intercepts, if any (c) Horizontal asymptotes, if any (d) Vertical asymptotes, if any (e) Oblique asymptotes, if any (a) What is the domain? Select the correct choice below and fill in any answer boxes within your choice. A. The domain of the function is x . (Type an inequality in the form x ≠. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. The domain of the function in the graph is the set of all real numbers.

Use the graph shown to find the following. (a) The domain and range of the function (b) The intercepts, if any (c) Horizontal asymptotes, if any (d) Vertical asymptotes, if any (e) Oblique asymptotes, if any (a) What is the domain? Select the correct choice below and fill in any answer boxes within your choice. A. The domain of the function is x . (Type an inequality in the form x ≠. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. The domain of the function in the graph is the set of all real numbers.
Transcript text: Use the graph shown to find the following. (a) The domain and range of the function (b) The intercepts, if any (c) Horizontal asymptotes, if any (d) Vertical asymptotes, if any (e) Oblique asymptotes, if any (a) What is the domain? Select the correct choice below and fill in any answer boxes within your choice. A. The domain of the function is $\{x \mid$ $\square$ \}. (Type an inequality in the form $x \neq$. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. The domain of the function in the graph is the set of all real numbers.
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Solution

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Solution Steps

Step 1: Find the Domain

The domain of a function is the set of all possible input values (x-values) for which the function is defined. In this graph, the function is defined for all x-values except at the vertical asymptotes x = -3 and x = 3.

Step 2: Express the Domain

The domain can be expressed as the set of all real numbers x such that x is not equal to -3 and x is not equal to 3.

Step 3: Write the Domain in Set-Builder Notation

Using set-builder notation, the domain can be written as {x | x ≠ -3, x ≠ 3}.

Final Answer:

{x | x ≠ -3, x ≠ 3}

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