Composite Functions and TI-84 Calculator Usage

This video tutorial explains how to calculate composite function values using a TI-84 graphing calculator. It covers entering functions into the calculator, performing calculations for different composite functions, and converting results to fractions. The tutorial provides step-by-step instructions for calculating F(G(2)), G(F(4)), F(G(1/2)), and F(F(2/3)).

What is the primary focus of this lesson?

• Understanding trigonometric identities

• Graphing linear equations

• Using the TI-84 calculator for composite functions

• Solving quadratic equations

How is F(x) entered into the TI-84 calculator?

• As Y sub 4

• As Y sub 3

• As Y sub 1

• As Y sub 2

What is the expression for G(x) in the calculator?

• 5/8x - 5

• 2x^2 - 3x + 5

• 3x^2 - 2x + 7

• x^2 + 3x - 7

What is the composite function value of F(G(2))?

• 35/8

• 123/4

• -755/96

• -25/32

In the expression G(F(4)), which function is the outer function?

• F(x)

• G(x)

• Both are outer functions

• Neither is an outer function

What is the composite function value of G(F(4))?

• -25/32

• 123/4

• -755/96

• 35/8

What is the composite function value of F(G(1/2))?

• -755/96

• 35/8

• 123/4

• -25/32

What is the composite function value of F(F(2/3))?

• 123/4

• -755/96

• -25/32

• 35/8

Which function is used twice in the calculation of F(F(2/3))?

• Both F(x) and G(x)

• Neither F(x) nor G(x)

• F(x)

• G(x)

What is the final step to convert a decimal to a fraction on the TI-84?

• Press MATH, ENTER, ENTER

• Press VARS, ENTER

• Press Y=, ENTER

• Press MODE, ENTER