Functions - Georgia Milestone Review

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What is a dependent variable?

Back

A dependent variable is a variable whose value depends on the value of another variable. In the context of functions, it is often represented as 'y' in the equation 'y = f(x)'. For example, in the scenario of raising money for books, the number of books (b) is dependent on the amount of money raised (m).

Tags

CCSS.6.EE.C.9

Front

What is an independent variable?

Back

An independent variable is a variable that stands alone and isn't affected by other variables. In the context of functions, it is often represented as 'x' in the equation 'y = f(x)'. For example, in the scenario of raising money for books, the amount of money raised (m) is independent.

Tags

CCSS.6.EE.C.9

Front

How can you determine if a graph represents a function?

Back

A graph represents a function if every vertical line drawn through the graph intersects it at most once. This is known as the vertical line test.

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What does it mean if a table is not a function?

Back

A table is not a function if any input (x-value) corresponds to more than one output (y-value). This violates the definition of a function.

Tags

CCSS.8.F.A.1

Front

What does the notation c(m) = 1.45m + 3.50 represent?

Back

This notation represents a linear function where 'c(m)' is the total cost of a taxi ride based on 'm' miles driven, with a base fare of $3.50 and a charge of $1.45 per mile.

Tags

CCSS.HSF.LE.B.5

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What does h(4) = 5 mean in the context of a function?

Back

In the context of the function h(t) representing the height of a plant, h(4) = 5 means that after 4 weeks, the plant is 5 inches tall.

Tags

CCSS.HSF.IF.A.2

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Tags

CCSS.8.F.A.1

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What is the difference between a function and a relation?

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A relation is any set of ordered pairs, while a function is a specific type of relation where each input is associated with exactly one output.

Tags

CCSS.8.F.A.1

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is given by y = mx + b, where 'm' is the slope and 'b' is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does the slope of a line represent in a function?

Back

The slope of a line represents the rate of change of the dependent variable with respect to the independent variable.

Tags

CCSS.8.EE.B.5