Unit 3 Test Algebra Review

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

What is a relation in mathematics?

Back

A set of ordered pairs, where each pair consists of an input (x-value) and an output (y-value).

Front

What is the domain of a relation?

Back

The set of all x-values (inputs) in the relation.

Front

What is the range of a relation?

Back

The set of all y-values (outputs) in the relation.

Front

How can you determine if a graph represents a function?

Back

By using the vertical line test; if any vertical line crosses the graph more than once, it is not a function.

Front

What does it mean for a function to have repeating input values?

Back

It means that the same x-value corresponds to more than one y-value, which violates the definition of a function.

Front

What is an ordered pair?

Back

A pair of numbers (x, y) that represent a point on a graph, where x is the horizontal coordinate and y is the vertical coordinate.

Front

What is the difference between domain and range?

Back

Domain refers to the set of all possible x-values, while range refers to the set of all possible y-values.

Front

Can a relation be a function if it has the same output for different inputs?

Back

Yes, a relation can still be a function if different x-values lead to the same y-value.

Front

What is an example of a function?

Back

f(x) = 2x + 3 is a function because each x-value has exactly one corresponding y-value.