Functions Test Review

Front

What is a function?

Back

A function is a relation where each input (or domain) has exactly one output (or range).

Front

How can you determine if a mapping is a function?

Back

A mapping is a function if no two ordered pairs have the same first element (input) with different second elements (outputs).

Front

What is the domain of a relation?

Back

The domain of a relation is the set of all possible input values (first elements) from the ordered pairs.

Front

Given the relation {(2, 5), (3, 6), (5, 2), (0, 5), (8, 1), (9, 3)}, what is the domain?

Back

{2, 3, 5, 0, 8, 9}.

Front

What is the range of a relation?

Back

The range of a relation is the set of all possible output values (second elements) from the ordered pairs.

Front

What does it mean for a function to have a constant rate of change?

Back

A function has a constant rate of change if the slope between any two points on the line is the same.

Front

How do you find the rate of change between two points?

Back

The rate of change (slope) is calculated as (y2 - y1) / (x2 - x1).

Front

What is the slope of the line represented by the equation y = -1/3x + 1?

Back

The slope is -1/3.

Front

What is the y-intercept in the equation y = 3x + 1?

Back

The y-intercept is 1.

Front

What does it mean if a function is non-linear?

Back

A non-linear function does not have a constant rate of change and its graph is not a straight line.