Functions and Direct Variation

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is direct variation?

Back

Direct variation is a relationship between two variables where one variable is a constant multiple of the other, expressed as y = kx, where k is a non-zero constant.

Front

If (3, 5), (4, 9), and (2, 5) are points in a function, which ordered pair can be added without violating the function rule?

Back

(1, 9) is the only ordered pair that can be added.

Front

How do you determine if a set of points represents a function?

Back

A set of points represents a function if no two points have the same x-coordinate with different y-coordinates.

Front

What is the formula to find pay in direct variation problems?

Back

Pay = (Hourly Rate) x (Number of Hours Worked).

Front

If Shawn earns $123 for 20 hours of work, how much does he earn per hour?

Back

Shawn earns $6.15 per hour.

Front

What is the ordered pair of point A if it is located on the y-axis?

Back

(0, y) where y is any value.

Front

Which axis goes up and down in a coordinate plane?

Back

The Y-axis.

Front

What are the coordinates of a point on the x-axis?

Back

(x, 0) where x is any value.

Front

True or False: The coordinates of a point are always written as (y, x).

Back

False. The coordinates are written as (x, y).