MATH Advanced Math  - Unit 6: Graphing Techniques for Functions
Domain Restrictions

For the first five problems, identify points or intervals that must be excluded from the domains of the given functions.

1) Determine the domain restriction(s).

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2) Determine the domain restriction(s).

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3) Determine the domain restriction(s).

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4) Determine the domain restriction(s).

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5) Determine the domain restriction(s).

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Vertical Line Test

For the next four problems, use the “Vertical Line Test” to determine if the graph is a function. Select TRUE if the graph “is a function” and FALSE if it “is not a function”.

6) The graph is a function?

7) The graph is a function?

8) The graph is a function?

9) The graph is a function?

Restricting the Domain and Range for a Graph to Be a Function

From each graph in the next three problems, determine a domain and range that would restrict that graph to be a function. If the given graph is already a function, then state the domain and range as it appears on the graph. Consider only the points that are labeled.

10) Determine the domain and range of the function OR the restricted domain and range of the graph so that it will be a function.

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11) Determine the domain and range of the function OR the restricted domain and range of the graph so that it will be a function.

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12) State the letter of the correct solution.

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