Week 2 Review

Definitions

100

What is an Inverse?

A function that serves to "undo" another function

200

What does horizontal asymptote looks like?

A vertical asymptote on the graph.

300

What is a natural logarithmic function?

A function with a base of e

400

What is the base for log(x)?

10

500

What is the product property of Log? 

log_bm*n = log_bm + log_bn

Rational Functions

100

If the degree of the numerator is ______ than the degree of the denominator, then you will have a horizontal asymptote at y=___

<, 0

200

The degree of the numerator ___ the degree of the denominator when there is not a horizontal asymptote when graphing a rational function

>

300

In the reduced rational function, describe the process for determining holes in the graph.  

Factor the numerator and denominator. If there are factors (x-n) that cancel in the numerator and denominator, then the function has a hole at x=n

400

If the degree of the numerator is = to the degree of the denominator, then you will have a horizontal asymptote at y= ______ / _______

The leading coefficient of the numerator over the leading coefficient of the denominator

500

You _____ cross a horizontal asymptote. You ____ cross a vertical asymptote.

can, cannot

You Solve

100

(x² − 6x + 19) ÷ (x − 1)

x - 5 + (14/x-1)

200

(4x²+3x-8) ÷ (x+2)

4x-5+ (2/x+2)

300

(2x⁵+5x⁴-2x³+2x²-2x+3) ÷ (x+3)

2x⁴-x³+x²-x+1

400

(x³-4x²+2x+5) ÷ (x-2)

x²-2x-2+ (1/x-2)

500

(3x³+4x+11) ÷ (x²-3x+2)

3x+9 + (25x-7/x²-3x+2)

You Graph

100

g(x)=ln(x)-4

Slide 1

200

y=(x-1)/(x²-x-6)

Slide 2

300

g(x)=log(x+5)

Slide 3

400

(x²-2x-3) / (x²+5x+4)

Slide 4

500

(2x²-12x+16) / (x²-x-12)

Slide 5

Disney Trivia

100

In Toy Story 3, what does Lotso smell like?

What is strawberries?

200

In Up, where does Carl Fredricksen want to move his house?

Where is Paradise Falls?

300

What character did Walt Disney create before Mickey Mouse?

Who is Oswald?

400

What was Mickey’s original name?

Who is Mortimer Mouse? 

500

Name as many Disney characters as you can in 30 seconds. (each character is a point)

At discretion of instructors