Functions and Proportional Relationships

Front

What is the equation of a proportional relationship?

Back

y = kx, where k is the constant of proportionality.

Front

What is a function?

Back

A relation where every input has only ONE output.

Front

What does it mean for a graph to represent a function?

Back

Each x-value must correspond to exactly one y-value.

Front

How can you tell if a table represents a function?

Back

If there are repeated x-values, it does not represent a function.

Front

What does the variable 'm' represent in a linear equation?

Back

The slope of the line.

Front

What is the slope of the line represented by the equation y = 3x?

Back

The slope is 3.

Front

What is the constant of proportionality in the equation y = 1/3x?

Back

The constant of proportionality is 1/3.

Front

If a function is represented by a table, what indicates it is not a function?

Back

Having the same x-value with different y-values.

Front

What is the y-intercept in the equation y = mx + b?

Back

The value of y when x = 0, represented by b.

Front

What does a horizontal line represent in a graph?

Back

A function with a slope of 0.