Function Word Problems

Front

What is the Rate of Change (ROC) in a function?

Back

The Rate of Change (ROC) in a function measures how much the output value (y) changes for a change in the input value (x). It is calculated as the change in y divided by the change in x.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What does the equation y = mx + b represent?

Back

The equation y = mx + b represents a linear function, where m is the slope of the line and b is the y-intercept, the point where the line crosses the y-axis.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you find the slope (m) from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept in the equation y = 2x + 6?

Back

The y-intercept is 6, which means the line crosses the y-axis at the point (0, 6).

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

How do you complete a table of values for a linear function?

Back

To complete a table of values for a linear function, choose several x-values, substitute them into the function to find the corresponding y-values, and fill in the table.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

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

Back

The slope indicates the steepness of the line and the direction of the relationship between x and y. A positive slope means y increases as x increases, while a negative slope means y decreases as x increases.

Tags

CCSS.8.EE.B.5

Front

What does it mean if a function is increasing?

Back

A function is increasing if, as the input (x) increases, the output (y) also increases.

Front

What does it mean if a function is decreasing?

Back

A function is decreasing if, as the input (x) increases, the output (y) decreases.

Front

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.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

How do you identify the graph of a linear function?

Back

The graph of a linear function is a straight line. You can identify it by checking if it has a constant slope.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2