Functions, Tables, Graphs Review

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

What is the definition of a non-function?

Back

A non-function is a relation where at least one input (x-value) has more than one output (y-value).

Front

How can you determine if a mapping is a function?

Back

A mapping is a function if no x-value is repeated with different y-values.

Front

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

Back

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

Front

What is the rate of change in a linear function?

Back

The rate of change is the slope of the line, indicating how much y changes for a unit change in x.

Front

How do you find the slope of a linear function from a table?

Back

Calculate the change in y divided by the change in x between two points.

Front

What is the formula for a linear function?

Back

The formula for a linear function is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you complete a function table for y = -2x + 1?

Back

Substitute x-values into the equation to find corresponding y-values.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed per one unit of the second quantity.

Front

How do you calculate the unit rate from a given quantity?

Back

Divide the total quantity by the number of units to find the amount per unit.