Functions -Math 8

Front

What is a function in mathematics?

Back

A function is a relationship between two sets of values where each input (x) is related to exactly one output (y).

Tags

CCSS.8.F.A.1

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What is the dependent variable?

Back

The dependent variable is the variable that depends on the value of another variable. In the context of a function, it is usually represented as 'y'.

Tags

CCSS.6.EE.C.9

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What is the independent variable?

Back

The independent variable is the variable that is changed or controlled in a function. It is usually represented as 'x'.

Tags

CCSS.6.EE.C.9

Front

How do you identify a function from a set of ordered pairs?

Back

A set of ordered pairs is a function if no two pairs have the same first element (x-value).

Tags

CCSS.8.F.A.1

Front

What does it mean for a graph to show a function?

Back

A graph shows a function if any vertical line drawn through the graph intersects it at most once.

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What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Tags

CCSS.8.EE.B.5

Front

What is a constant function?

Back

A constant function is a function that always returns the same value, regardless of the input. It can be expressed as y = c, where c is a constant.

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What is a relation in mathematics?

Back

A relation is a set of ordered pairs, which can include functions but does not have to follow the rule that each input has only one output.

Tags

CCSS.8.F.A.1

Front

What is a graph of a function?

Back

A graph of a function is a visual representation of the relationship between the independent variable (x) and the dependent variable (y).