3.2 Features of Graphs

Front

What is the domain of a graph?

Back

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

Front

What is the range of a graph?

Back

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

Front

What is a maximum point on a graph?

Back

A maximum point is a point on the graph where the function reaches its highest value in a given interval.

Front

What is a minimum point on a graph?

Back

A minimum point is a point on the graph where the function reaches its lowest value in a given interval.

Front

What is a y-intercept?

Back

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

Front

What is an increasing interval?

Back

An increasing interval is a range of x-values where the function's output (y-values) is rising as x increases.

Front

What is a decreasing interval?

Back

A decreasing interval is a range of x-values where the function's output (y-values) is falling as x increases.

Front

What does it mean for a graph to be continuous?

Back

A continuous graph is one that can be drawn without lifting the pencil from the paper, meaning there are no breaks or holes.

Front

What is a discontinuity in a graph?

Back

A discontinuity is a point at which a function is not continuous, often resulting in a break or gap in the graph.

Front

What is a vertical asymptote?

Back

A vertical asymptote is a vertical line x = a where the function approaches infinity or negative infinity as x approaches a.