Quantities and Relationships Review

Front

What is a function in mathematics?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

How can you determine if a set of ordered pairs represents a function?

Back

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

Front

What is the range of a function?

Back

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

Front

What does the notation [1, ∞) represent?

Back

The notation [1, ∞) represents a range that includes 1 and all numbers greater than 1, extending to infinity.

Front

What is the independent quantity in a relationship?

Back

The independent quantity is the variable that is manipulated or changed in an experiment or equation, often represented on the x-axis.

Front

What is the dependent quantity in a relationship?

Back

The dependent quantity is the variable that responds to changes in the independent quantity, often represented on the y-axis.

Front

What does it mean for a graph to be discrete?

Back

A discrete graph consists of distinct, separate points, indicating that the values are not continuous.

Front

What is a vertical axis of symmetry?

Back

A vertical axis of symmetry is a line that divides a shape or graph into two mirror-image halves.

Front

What is a maximum in the context of a graph?

Back

A maximum is the highest point on a graph, representing the greatest value of the dependent variable.

Front

What is a nonlinear graph?

Back

A nonlinear graph is one that does not form a straight line, indicating a relationship that is not proportional.