Math Function for Graphs

TI 83 [2 nd] [Calc] TI 85, 86 [Graph] [Math]

[Value]

Find the value of f(x), for any value of x

[Eval]

The Window should contain x being evaluated

Example find

Window: xmin = 0, xmax = 1000

Ymin = 0, ymax = 10

[Value], x = 1000, y = 0.1886

TI 83 [2 nd] [Calc] TI 85, 86 [Graph] [Math]

[Zero]

Find the value of x for function when y = 0

[Root]

The Window should contain x root

Example find the roots of -

Window: xmin = -10, xmax = 10

Ymin = -10, ymax = 10

[Zero], x = -0.7862996 and 2.119633, y = 0 and

Must supply: Left Bound, Right Bound and Guess

TI 83 [2 nd] [Calc] TI 85, 86 [Graph] [Math]

[Minimum]

Find the minimum value of a function between two points

[FMin]

The Window should contain x-coordinate of minimum

Example find the roots of -

Window: xmin = -10, xmax = 10

Ymin = -10, ymax = 10

[Minimum], x = -0.66666.. and 3.6666..

Must supply: Left Bound, Right Bound and Guess

TI 83 [2 nd] [Calc] TI 85, 86 [Graph] [Math]

[Maximum]

Find the maximum value of a function between two points

[FMax]

The Window should contain x-coordinates of maximum

Example find the roots of -

Window: xmin = -10, xmax = 10

Ymin = -10, ymax = 10

[Maximum], x = 0.66666.. and y = 6.3333..

Must supply: Left Bound, Right Bound and Guess

TI 83 [2 nd] [Calc] TI 85, 86 [Graph] [Math]

[Intersect]

Find the coordinates of the intersection of two graphs

[ISect]

The Window should contain point(s) of intersection

Example find the solution of x for the following functions -

Graph in Radian Mode

Window:

Approach 1: Graph both functions

and find points of intersections

Approach 1: Graph

And either find roots or intersection.

 

 

TI 83 [2 nd] [Calc] TI 85, 86 [Graph] [Math]

[dy/dx]

Find the slope of a function at a point x

[dy/dx]

Window should contain x being evaluated

Example find the slope of

Window: xmin = -10, xmax = 10

Ymin = -10, ymax = 10

[dy/dx], x = -2, dy/dx = 12.000001

Equation of tangent line passing thru point (-2, -8) is y = 12x + 16