This tutorial explains how to graph implicit equations using the TI-89 graphing calculator. It covers setting the calculator to 3D mode, entering equations, and graphing them. The first equation involves plotting points where z(x, y) equals zero, while the second equation is an ellipse. The tutorial provides step-by-step instructions for entering and graphing these equations, ensuring the calculator is correctly set up for implicit plotting.

What is the primary method for graphing an implicit equation on the TI-89 calculator?

• Graphing in 2D mode

• Entering equations in polar coordinates

• Using the function mode

• Plotting points where z(x, y) equals zero

How should the first implicit equation be entered into the TI-89 calculator?

• As a function of x only

• As z(x, y) equals the left side of the equation

• Using polar coordinates

• In the form of a matrix

Why is it necessary to set the TI-89 calculator to 3D mode for graphing implicit equations?

• To plot 3D surfaces

• To enable color graphing

• To access the implicit plot style

• Because the curves are two-dimensional

Which option should be selected to change the style to 'implicit plot' on the TI-89?

• Option 7: Polar Plot

• Option 1: Function Plot

• Option 3: Parametric Plot

• Option 5: Implicit Plot

What is the shape of the graph for the second equation entered into the TI-89 calculator?

• A circle

• A hyperbola

• An ellipse

• A parabola