TI-89 Graphing Calculator: Rational Expressions

This tutorial guides users on how to add or subtract rational expressions using the TI-89 graphing calculator. It begins with setting up the calculator by clearing previous data. The tutorial then demonstrates using the common denominator function to calculate sums and differences of rational expressions. It also covers factoring denominators for simplified results. An example with complex expressions is provided to illustrate the process.

What is the first step to take when starting a new problem on the TI-89 calculator?

• Select the cleanup menu

• Press F1 for help

• Turn off the calculator

• Press F3 for graphing

Which function is used to find the common denominator on the TI-89?

• Number 2 in the algebra menu

• Number 4 in the graph menu

• Number 1 in the cleanup menu

• Number 6 in the algebra menu

What is the result of entering '1/x + 1/y' using the common denominator function?

• x + y

• (x - y) / xy

• x - y

• (x + y) / xy

Why is it important to use parentheses around expressions like 'x + y' and 'x - y'?

• To save the expression for later

• To ensure correct input and calculation

• To make the expression look neat

• To increase the speed of calculation

What is the difference when using the common denominator function for '1/(x+y) - 1/(x-y)'?

• 2y / (x^2 - y^2)

• -2y / (x^2 - y^2)

• 2x / (x^2 - y^2)

• -2x / (x^2 - y^2)

How can you express the denominator 'x^2 - y^2' in factored form?

• (x - y)(x - y)

• (x - y)(x + y)

• (x + y)(x + y)

• (x + y)(x - y)

What is the purpose of factoring the denominator in rational expressions?

• To simplify the expression

• To make it more complex

• To remove variables

• To change the numerator

In the complex example, what is the first step to input the expression?

• Skip the use of parentheses

• Enter the numerator without parentheses

• Enter the denominator without parentheses

• Use parentheses around both numerators and denominators

What is the factored form of the denominator 'x^3 - 2x^2 - 5x + 6'?

• (x + 3)(x + 1)(x - 2)

• (x + 3)(x - 1)(x + 2)

• (x - 3)(x - 1)(x + 2)

• (x - 3)(x + 1)(x - 2)

What is the result of adding the expressions in the complex example?

• Two separate fractions

• No result

• A single fraction with a factored denominator

• A single fraction with a multiplied-out denominator