Understanding Functions in Algebra

What is a function in mathematics?

• A visual representation of data

• A type of equation

• A relation between two sets

• A collection of numbers

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What is the domain of a function?

• The set of output values

• The set of input values

• The set of all possible values

• The set of numbers in a function table

In a function table, what does the right column typically represent?

• Mathematical operations

• Function rules

• Output values

• Input values

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What is the output of the function y = 2x when the input is 3?

• 5

• 9

• 3

• 6

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Why does the equation y squared equals x not qualify as a function?

• It is not an equation

• It gives multiple outputs for a single input

• It has no solutions

• It only works for positive numbers

What is a key requirement for a relation to be considered a function?

• It must have a table

• It must have a one-to-one relationship

• It must have a graph

• It must be linear

Tags

CCSS.8.F.A.1

What does the Vertical Line Test determine?

• If a graph is quadratic

• If a graph represents a function

• If a graph is linear

• If a graph is symmetrical

What happens if a vertical line intersects a graph at more than one point?

• The graph is linear

• The graph is quadratic

• The graph is not a function

• The graph is a function

What does f(x) represent in function notation?

• An equation

• A variable multiplied by x

• A function named f with input x

• A constant value

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What is the output of the function f(x) = 3x + 2 when x = 4?

• 16

• 14

• 12

• 10

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1