Algebra 1B Unit 1 Lesson 1

The following tables represent relations. Which of the tables also represent a function? There is more than one correct answer choice. Select all correct answer choices.

1. (-2, 4) (-1,1) (0,0) (1,1) (2,4) 2. (-1,3) (1,3) (3,3) (4,3) (5,3) 3. (-2,4) (-1,2) (0,0.5) (1,1) (2,1.5)

The following table shows a relation. (-2,-1) (-1,9) (3,17) (9,22) Which numbers are part of the relation's output? Select all that apply.

9 17 22 -1

Which of the mapping diagrams represents a function?

https://assets.learnosity.com/organisations/625/asset/media/1155204

Which two solutions to the equation x^2+y^2=20 can be used to show that it is not a function? Select two answer choices.

(4,-2) (4,2)

Which of the following tables represents y as a function of x?

(5,2) (2,2) (6,2) (4,2) (1,2) (3,2)

Examine the following graph. https://assets.learnosity.com/organisations/625/asset/media/1009274 Does the graph represent a function? Why or why not?

No, because the graph fails the vertical line test.

The following list of ordered pairs maps animals to foods. (dog,banana)(dog,banana) (cat,milk)(cat,milk) (hamster,carrot)(hamster,carrot) (dog,chicken)(dog,chicken) (rabbit,carrot)(rabbit,carrot) Is the relation a function? Why or why not?

No, there is an input that has more than one output.

The following mapping diagram maps names to methods of transportation. https://assets.learnosity.com/organisations/625/asset/media/1155187 Is the relation a function? Why or why not?

No, there is an input that maps to more than one output.

The following graph represents a function. https://assets.learnosity.com/organisations/625/asset/media/1155203 Which reasons prove that the graph represents a function? Select all that apply.

The graph passes the vertical line test. There is exactly one output for each input.

The following table represents a relation. (-3,0) (0,-2) (5,-3) (11,-2) Does the table represent y as a function of x? Why or why not?

Yes, because there are no x-values with more than one y-value.

Leah plotted an equation on a coordinate grid and produced this graph: https://assets.learnosity.com/organisations/625/asset/media/1008399 Which of the following shows a line test correctly used to show that Leah's equation does not define a function of x?

https://assets.learnosity.com/organisations/625/asset/media/1008400

Which of the following maps represent functions? There is more than one correct answer choice. Select all correct answer choices.

https://assets.learnosity.com/organisations/625/asset/media/1155189 https://assets.learnosity.com/organisations/625/asset/media/1155190 https://assets.learnosity.com/organisations/625/asset/media/1155188

Which of the following images are graphs of functions? There is more than one correct answer. Select all correct answers.

https://assets.learnosity.com/organisations/625/asset/media/1155196 https://assets.learnosity.com/organisations/625/asset/media/1155194 https://assets.learnosity.com/organisations/625/asset/media/1155195

Which of the following graphs represent functions? There is more than one correct answer. Select all correct answers.

https://assets.learnosity.com/organisations/625/asset/media/1155200 https://assets.learnosity.com/organisations/625/asset/media/1155199

Examine the following graphs and determine which relations are functions. Select all that apply.

https://assets.learnosity.com/organisations/625/asset/media/1155209 https://assets.learnosity.com/organisations/625/asset/media/1155208

Which of the following relations is also a function?

{(1,1),(3,2),(6,3),(8,4)}

Which of the following sets of ordered pairs does not define a function?

{(1,3),(5,2),(6,9),(1,12),(10,2)}

The following relation maps x-values to y-values. (0,0) (2,1) (4,2) (6,3) What is the set of input values?

{0,2,4,6}