Algebra 1 - Domain & Range Quiz

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Questions and Answers

What is the domain of the function?

[-4, 4]

[-6, 6] (correct)

x = -5

[-7, 5)

What is the range of the function?

[-4, 4]

[0, 6] (correct)

[-2, 6)

[-3, 1)

Does the graph show a function?

True

What is the domain of the second function?

[-7, 5) Signup and view all the answers

What is the range of the second function?

[-3, 1) Signup and view all the answers

Does the second graph show a function?

True Signup and view all the answers

What is the domain of the third function?

x = -5 Signup and view all the answers

What is the range of the third function?

-2 < y < 6 Signup and view all the answers

Does the third graph show a function?

False Signup and view all the answers

What is the domain of the fourth function?

[-4, 4] Signup and view all the answers

What is the range of the fourth function?

[-4, 4] Signup and view all the answers

Does the fourth graph show a function?

False Signup and view all the answers

What is the domain of the fifth function?

[0, Infinity) Signup and view all the answers

What is the range of the fifth function?

(-Infinity, Infinity) Signup and view all the answers

Does the fifth graph show a function?

False Signup and view all the answers

What is the domain of the sixth function?

x > 0 Signup and view all the answers

What is the range of the sixth function?

y = 4 Signup and view all the answers

Does the sixth graph show a function?

True Signup and view all the answers

What is the domain of the seventh function?

(-3, 5] Signup and view all the answers

What is the range of the seventh function?

[-1] Signup and view all the answers

Does the seventh graph show a function?

True Signup and view all the answers

What is the domain of the eighth function?

[-4, 2] Signup and view all the answers

What is the range of the eighth function?

[-2, 4] Signup and view all the answers

Does the eighth graph show a function?

True Signup and view all the answers

What is the domain of the ninth function?

(-3, 4) Signup and view all the answers

What is the range of the ninth function?

[0, 5) Signup and view all the answers

Does the ninth graph show a function?

True Signup and view all the answers

Study Notes

Domain and Range Concepts

Domain refers to the set of possible input values (x-values) for a function.
Range refers to the set of possible output values (y-values) for a function.
A function is defined as a relationship where each input is linked to exactly one output.

Card Summaries

Card 1
- Domain: [-6, 6]
- Range: [0, 6]
- Classification: Function (pass test of uniqueness)
Card 2
- Domain: [-7, 5)
- Range: [-3, 1)
- Classification: Function (valid mapping from inputs to outputs)
Card 3
- Domain: x = -5 (single input)
- Range: -2 < y < 6 (multiple outputs for a single input)
- Classification: Not a function (fails uniqueness criteria)
Card 4
- Domain: [-4, 4]
- Range: [-4, 4]
- Classification: Not a function (multiple outputs for some inputs)
Card 5
- Domain: [0, Infinity) (all non-negative inputs)
- Range: (-Infinity, Infinity) (outputs could be any real number)
- Classification: Not a function (fails uniqueness)
Card 6
- Domain: x > 0 (only positive inputs)
- Range: y = 4 (single output for all inputs)
- Classification: Function (consistent mapping)
Card 7
- Domain: (-3, 5]
- Range: [-1] (only one output)
- Classification: Function (each input gives one output)
Card 8
- Domain: [-4, 2]
- Range: [-2, 4]
- Classification: Function (valid relationship)
Card 9
- Domain: (-3, 4)
- Range: [0, 5)
- Classification: Function (unique outputs for each input)

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Description

Test your understanding of domain and range in algebra. This quiz will help you identify the domain, range, and whether a given graph represents a function based on various examples. Perfect for reinforcing key concepts in Algebra 1.