Key Features of Graphs

Front

What is a y-intercept?

Back

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

Front

What is an x-intercept?

Back

The x-intercept is the point where a graph crosses the x-axis, represented as (x, 0).

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, as x increases, the value of the function also increases.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing on an interval if, as x increases, the value of the function decreases.

Front

What is a maximum point on a graph?

Back

A maximum point is the highest point on a graph in a given interval, also known as a local maximum.

Front

What is an absolute maximum?

Back

The absolute maximum is the highest point over the entire graph.

Front

What is a minimum point on a graph?

Back

A minimum point is the lowest point on a graph in a given interval, also known as a local minimum.

Front

What is an absolute minimum?

Back

The absolute minimum is the lowest point over the entire graph.

Front

How do you determine if a point is a maximum or minimum?

Back

A point is a maximum if it is higher than all nearby points; it is a minimum if it is lower than all nearby points.

Front

What is the significance of the vertex in a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.