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 (B) 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

Flashcards

Domain exclusion (toss)

Values of x that do not fit the object's toss model are outside the domain.

Range of toss function

Possible heights (y-values) the object reaches during the toss.

Domain exclusion (graph mc014-1)

One value of x is excluded within the domain.

Range (graph mc014-1)

Possible outputs (y values) that the function takes while avoiding a specific range.

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Domain & Range (graph mc003-1)

All numbers on x and y axis are used for domain and range

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Excluded domain (piecewise mc018-1)

Specific x-values are excluded from the input to the function.

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Range (piecewise mc018-1)

Specific output values are avoided.

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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.