Writing a function rule from the table

Front

What is a function rule?

Back

A function rule is a mathematical expression that describes the relationship between input (independent variable) and output (dependent variable) in a function.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

How do you write a function rule from a table?

Back

To write a function rule from a table, identify the pattern in the input-output pairs and express it as an equation.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does the equation y = x + 5 represent?

Back

This equation represents a linear function where the output (y) increases by 1 for every increase of 1 in the input (x), starting from 5.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the cost function for buying drinks at 75 cents each?

Back

C = $0.75d, where C is the total cost and d is the number of drinks.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

If y = 7x, what is the value of y when x = 4?

Back

y = 7 * 4 = 28.

Tags

CCSS.6.EE.C.9

Front

What does the slope in a linear equation represent?

Back

The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x).

Tags

CCSS.8.EE.B.5

Front

What is the function rule for the equation y = -2x + 10?

Back

This equation indicates that for every increase of 1 in x, y decreases by 2, starting from 10.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

How can you determine if a table represents a function?

Back

A table represents a function if each input (x-value) corresponds to exactly one output (y-value).

Tags

CCSS.8.F.A.1

Front

What is the equation of a line with a slope of 5 and a y-intercept of 5?

Back

The equation is y = 5x + 5.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does the term 'y-intercept' mean?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.