Study Guide Unit 4

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input (x) and an output (y).

Front

What is a function?

Back

A function is a special type of relation where each input (x) is associated with exactly one output (y).

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, y).

Front

How do you find the y-intercept from a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x) for which the function is defined.

Front

What is the range of a function?

Back

The range is the set of all possible output values (y) that a function can produce.

Front

How do you determine the domain from a graph?

Back

The domain can be determined by identifying all the x-values that the graph covers.

Front

How do you determine the range from a graph?

Back

The range can be determined by identifying all the y-values that the graph covers.

Front

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

Back

A graph represents a function if any vertical line drawn intersects the graph at most once (Vertical Line Test).

Front

What is a table of values in relation to a function?

Back

A table of values lists pairs of input (x) and output (y) values that correspond to a function.