Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as an equation, a graph, or a table.

Tags

CCSS.8.F.A.1

Front

What does the equation y = 10x represent?

Back

This equation represents a linear function where the output (y) is ten times the input (x). It shows a direct proportionality between x and y.

Tags

CCSS.HSF.LE.B.5

Front

If y = 4x, what happens to y when x is doubled?

Back

If x is doubled, y will also double because y is directly proportional to x.

Tags

CCSS.HSF-LE.A.1B

Front

How do you find the output of a function?

Back

To find the output of a function, substitute the input value into the function's equation and solve for the output.

Tags

CCSS.HSF.IF.A.2

Front

What is an ordered pair in a function?

Back

An ordered pair is a pair of numbers (x, y) that represents a point on the graph of a function, where x is the input and y is the output.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, which means it has a constant rate of change.

Tags

CCSS.8.F.A.3

Front

How can you determine if a relation is a function?

Back

A relation is a function if each input (x-value) corresponds to exactly one output (y-value). This can be checked using the vertical line test on a graph.

Front

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

Back

The slope indicates the rate of change of the function; it shows how much y changes for a unit change in x.

Tags

CCSS.8.EE.B.5

Front

If there are 10 people in line and you stand for 5 times that number, how long will you stand?

Back

You will stand for 50 minutes, as 5 times 10 equals 50.

Tags

CCSS.4.OA.A.2

Front

What does the term 'input' refer to in a function?

Back

The input is the value you provide to a function, which is then processed to produce an output.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1