### III. Working With Graphs

E. F5 - Math

The Math menu has 12 options that allow you to analyze the graph of a function, or the function. To access this menu press .

 Enter .

The menu in other modes will have a limited number of these options.

In several of these applications you will be finding a left bound and right bound or a lower limit and an upper limit.

 When prompted for a lower or left bound, move the cursor to the point you want and press ENTER. You can also just enter a value for x and press ENTER. You will then be prompted to enter a lower bound. Either move the cursor to the point you want or enter the number you want. Press ENTER and the calculator will give you the result.

These are the options available with a brief explanation. Access the link for a detailed explanation and example of how to use the operation.

1: Value This will evaluate the function at a particular value of x. However, the value entered must be in the interval [xmin, xmax].

2:Zero Finds the x-intercept in a designated interval.

3:Minimum Finds the minimum value of the function in a designated interval.

4:Maximum Finds the maximum value of the function in a designated interval.

5:Intersection Finds the intersection point of two functions.

6:Derivatives Finds a numerical approximation of the derivative at a designated value of x.

7: Finds a numerical approximation of the definite integral over a designated interval.

8:Inflection Finds the inflection point over a designated interval. This is where the second derivative changes signs.

9:Distance This will draw a line and measure its length between two points on the graph of a function, or between points on different functions.

A:Tangent This draws the tangent line at a designated point, and states the equation of the tangent line.

B:Arc This will calculate the length between two points on a curve.

C:Shade The operation of Shade is dependent on how many functions are graphed. If one function is graphed, it will shade the area above or below the x-axis. If there are two or more functions graphed, the area between two of the functions over a designated interval.

 Tools Zoom Trace Regraph Math Draw Pen