4th Period Linear Functions Flashcard

Front

What is a direct variation?

Back

A direct variation is a relationship between two variables where one variable is a constant multiple of the other. It can be expressed in the form y = kx, where k is a non-zero constant.

Front

What is an inverse variation?

Back

An inverse variation is a relationship between two variables where the product of the two variables is a constant. It can be expressed in the form y = k/x, where k is a non-zero constant.

Front

What defines a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Tags

CCSS.8.F.A.1

Front

Which of the following sets of values is a function? (9,5) (10,5) (9,-5) (10,-5), (3,4) (4,-3) (7,4) (3, 8), (6,-5) (7, -3) (8, -1) (9, 1), (2, -2) (5, 9) (5, -7) (1, 4)

Back

(6,-5) (7, -3) (8, -1) (9, 1) is a function because each x-value is unique.

Tags

CCSS.8.F.A.1

Front

What is the definition of a mapping in mathematics?

Back

A mapping is a relation that assigns each element in one set to exactly one element in another set.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the difference between a function and not a function?

Back

A function has one output for each input, while a relation that assigns multiple outputs to a single input is not a function.

Tags

CCSS.8.F.A.1

Front

How can you determine if a graph represents a function?

Back

You can use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the formula for calculating miles per gallon (MPG)?

Back

MPG = miles driven / gallons of gas used.

Tags

CCSS.6.EE.B.7

Front

If y = 16.2x, what does the slope represent?

Back

The slope (16.2) represents the number of miles driven per gallon of gas.

Tags

CCSS.HSF.LE.B.5

Front

What is the significance of the slope in a linear function?

Back

The slope indicates the rate of change of the dependent variable with respect to the independent variable.

Tags

CCSS.8.EE.B.5