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Domain and Range of Functions Quiz

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Questions and Answers

What is NOT the domain of the function used to model an object being tossed from a tall building?

[1.80, 12.76] (correct)

(4, infinity)

[0, 590.9]

all real numbers except x=0, 2, 6

What is the range of the function used to model an object being tossed from a tall building?

[0, 590.9]

What is NOT the domain of the function represented by mc014-1.jpg?

(4, infinity) (correct)

all real numbers except x=0, 2, 6

[4, infinity)

(-6, infinity)

What is the range of the function represented by mc014-1.jpg?

(-6, infinity) Signup and view all the answers

What are the domain and range of the function below represented by mc003-1.jpg?

Both (-infinity, infinity) Signup and view all the answers

What is NOT the domain of the piecewise function represented by mc018-1.jpg?

all real numbers except x=0, 2, 6 Signup and view all the answers

What is the range of the piecewise function represented by mc018-1.jpg?

all real numbers except -2≤y Signup and view all the answers

Study Notes

Domain and Range of Functions

For the model representing an object tossed from a tall building:
- Domain: Not within the interval [1.80, 12.76]
- Range: [0, 590.9] meters indicating the height range during the toss.
For the function represented by mc014-1.jpg:
- Domain: (4, infinity) meaning the function is defined for values greater than 4.
- Range: (-6, infinity) showing that output values start just above -6 and extend indefinitely upwards.
For the function indicated by mc003-1.jpg:
- Both domain and range are (-infinity, infinity), indicating the function accepts all real numbers as both inputs and outputs.
For the piecewise function represented by mc018-1.jpg:
- Domain: All real numbers except x = 0, 2, 6, indicating specific points where the function is undefined.
- Range: All real numbers except values of y that are less than or equal to -2, showing a limit on output values.

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Description

Test your understanding of the domain and range of various functions with this quiz. You'll encounter different scenarios, including piecewise functions and continuous intervals, to assess your skills in identifying domains and ranges accurately.