Parts of a Function Graph

Parts of a Function Graph

by B. Cox

​Intercepts

Intercepts are the points where a function crosses an axis.

​

The y - intercept is the y-value of the point where the graph crosses the y - axis.

​

​The x - intercept(s) are the

x-value(s) of the point(s) where the graph crosses the x - axis.

Multiple Choice

Which point below represents the y - intercept?

• B

• C

• E

Multiple Select

Which point(s) below represents the x - intercept(s)?

Check all that apply

• B

• C

• D

• E

​Absolute Maximum and Minimum

​The absolute maximum and absolute minimum are the coordinates of the highest and lowest points on a function graph.

Relative Maximum and Minimum

Relative maximum(s) and relative minimum(s) are the coordinates of the highest and lowest points in a particular region of afunction graph.

Multiple Choice

Which point below represents the absolute maximum point on the graph?

• A

• D

• F

• G

Multiple Choice

Which point below represents the absolute minimum point on the graph?

• A

• D

• F

• G

Multiple Choice

Which point below represents a relative maximum point on the graph?

• A

• D

• F

• G

Multiple Choice

Which point below represents a relative minimum point on the graph?

• A

• D

• F

• G

Increasing and Decreasing Intervals

When reading a function graph, we read it from left to right.

​

​An increasing interval is a section of the graph that starts at a minimum point and ends at a maximum point.

Increasing and Decreasing Intervals

​A decreasing interval is a section of the graph that starts at a maximum point and ends at a minimum point.

​

​The points where the function graph switches from increasing to decreasing or vice versa are called turning points.

Multiple Choice

Which interval(s) below represents an increasing interval?

• A to D

• D to F

• F to G

Multiple Select

Which interval(s) below represents a decreasing interval? (Check all that apply)

• A to D

• D to F

• F to G

Positive and Negative Intervals

​A positive interval is a section of the graph that sits above the x-axis.

​

A negative interval is a section of the graph that sits below the x-axis.

Multiple Select

Which interval(s) below represents a positive interval? (Check all that apply)

• A to B

• B to E

• E to G

Multiple Choice

Which interval(s) below represents a negative interval?

• A to B

• B to E

• E to G