Key Features of Graphs

Front

What is a decreasing interval in a graph?

Back

A decreasing interval is a section of the graph where the function's value decreases as the x-values increase.

Front

How can you identify a maximum point on a graph?

Back

A maximum point is where the function reaches its highest value in a given interval, and the slope changes from positive to negative.

Front

What is an x-intercept?

Back

An x-intercept is the point where the graph crosses the x-axis, meaning the function's value is zero at that point.

Front

What is a y-intercept?

Back

A y-intercept is the point where the graph crosses the y-axis, meaning the x-value is zero at that point.

Front

What does it mean for a function to be increasing?

Back

A function is increasing when its value rises as the x-values increase.

Front

What is a minimum point on a graph?

Back

A minimum point is where the function reaches its lowest value in a given interval, and the slope changes from negative to positive.

Front

How do you determine the number of maximums in a graph?

Back

Count the number of peaks or high points where the function changes from increasing to decreasing.

Front

What is the significance of intercepts in a graph?

Back

Intercepts help identify where the graph crosses the axes, providing key points for sketching the graph.

Front

What does it mean if a function has no y-intercept?

Back

If a function has no y-intercept, it means the graph does not cross the y-axis, often occurring in vertical lines or certain functions.

Front

How can you tell if a function is decreasing from a graph?

Back

A function is decreasing if the graph slopes downward as you move from left to right.