### Create a StudySoup account

#### Be part of our community, it's free to join!

Already have a StudySoup account? Login here

# PRECALCULUS MATH 120

UW

GPA 3.76

### View Full Document

## 27

## 0

## Popular in Course

## Popular in Mathematics (M)

This 4 page Class Notes was uploaded by Addison Beer on Wednesday September 9, 2015. The Class Notes belongs to MATH 120 at University of Washington taught by Matthew Conroy in Fall. Since its upload, it has received 27 views. For similar materials see /class/192068/math-120-university-of-washington in Mathematics (M) at University of Washington.

## Reviews for PRECALCULUS

### What is Karma?

#### Karma is the currency of StudySoup.

#### You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!

Date Created: 09/09/15

Final Review Math 120 0 Chapter 1 2 3 4 The Coordinate Plane Lines and Circles You should understand the idea of imposing a coordinate system and the use of the distance formula You should understand the various forms of the equations of a line and be able to determine a line given either two points on the line or the slope and a point on a line You should understand the equation of a circle and be able to find the intersections of lines with lines and lines with circles You should be able to do this in the context of a model See eg problems 37 39 48 414 You should be able to create a linear model for the relationship between two quantities eg population varying with time If you have two such models you should be able to answer various questions about the two quantities modeled eg when are they equal when is one twice as large as the other See problems eg 45 49 0 Chapters 5 6 Functions and Graphs You should know a function is You should know what the domain range and graph of a function are and if asked be able to find the domain and range of a particular function You should know what the vertical line test is all about You should be able to graph linear functions and multipart functions whose parts are linear You should understand what a multipart function is You should be able to describe rela tionships between two quantities with a multipart function ie you should be able to model with them See problems like 63 64 and 66 0 Chapter 7 Quadratic Functions You should know that quadratic functions are those of the form fx a12 121 c and that these can always be put into vertex form fx az 7 h2 k You should be able to find the vertex of a quadratic function You should be able to create quadratic models given three generic points or the vertex and one other point See problems like 71 73 712 You should be able to find the maximum or minimum value of a quantity determined by a quadratic function by considering the vertex 1 like problems 79 710 and 711 a lot 0 Chapter 8 Composition You should know what it means to compose two functions You should understand what is meant by You should know that fgz and gf are generally different func tions You should be able to write simplified rules for compositions fg and gfz given rules for fx and llike problems 82 and 84 0 Chapter 9 Three Construction Tools You should understand horizontal and vertical shifting and horizontal and vertical scaling aka dilating You should understand how to derive the graph of 91 afbx c d from the graph of fx see eg problem 92 I especially like problem 92 93 and 97 0 Chapter 10 Arithmetic This is a very short chapter An important topic in this chapter is step functions which are a nice example of multipart functions You should understand how to graph functions built up from the unit step function see problem 108 You should be able to combine multipart functions and come up with the rule for the new function lreally like problem 104 and 108 0 Chapter 11 Inverse Functions Another very short chapter You should understand what an inverse function is what conditions a function must satisfy in order to have an inverse do all functions have inverses can you tell if a function has an inverse by looking at its graph and how to find the inverse of a given function You should understand what a onetoone function is and what is special about the graph of a onetoone function I like problem 116 118 and 119 0 Chapter 12 Rational Functions A very important chapter We spent two days in lecture on this instead of the usual one You should be able to find the asymptotes horizontal and vertical of a rational function and be able to sketch the graph of a rational function like those in problem 121 You should be able to model with lineartolinear rational functions This comes down to finding a rational function of the form ax I x HE whose graph 1 passes through three given points or N has a given asymptote and passes through two given points or 3 has two given asymptotes and passes throuh one given point You will need to translate the language of the modeling problem Pay particularly close attention to the words lineartolinear Note that a lineartolinear function is not a linear function I like the problems from the chapter 12 supplement and problems 121 128 and 129 0 Chapter 13 Measuring an Angle You should understand how to convert between degrees and radians You should understand and be able to use the relationships between radii angle arc length and area llike problems 133 and 138 0 Chapter 14 Measuring Circular Motion You should understand the various measures of angular speed aka angular velocity like rpm radians per second or degrees per hour You should understand the relationship between radius angular speed and linear speed You should know how solve a beltandpulley problem eg the bicycle example from lec ture example 1441 problems 143 149 and 1411 llike problems 145 and 147 0 Chapter 15 The Circular Functions This chapter introduces the trigonometric functions You should be able to solve problems using the idea of trigonometric functions as ratios of sides of right triangles eg problems 154 157 158 and some algebra You should understand the definitions of sin I and cos I using the unit circle you should be able to determine certain simple properties of the functions sin I and cos I from this definition eg the range the domain the graph the values at certain value of I like I 57r You should be able to determine the location of an object moving circularly given information about its speed and starting location eg problems 152 155 159 1514 0 Chapter 16 Trigonometric Functions This is a short chapter which adds some final touches to our knowledge of the functions sin I and cos I and related functions llike problems 162 163 and 164 0 Chapters 17 18 Sinusoidal Functions You should understand the notion of a sinusoidal function as a shifteddilated version of the function sin I You should understand the effect of the four parameters 147B7 C and D on the graph of 27f Asm 7 Cgt Di You should be able to model with sinusoidal functions In particular you should be able to determine the parameters A7 B7 C7 and D from a verbal description of a quantity that varies sinusoidally with time see problems 172 173 174176 You should be able to solve equations of the form fr k where f is a sinusoidal function if there are any solutions there are infinitely many and you should be able to find them You should be able to do this in the context of a modeling problem eg problems 182 184 1810 0 Chapters 19 20 21 Exponential functions modeling and logartithms You should be able to recognize functions of the form fr A0127 or equivalently fr Age You should be able to put exponential functions into these forms You should be able to create exponential models of quantities that change over time Given two values of the quantity at two data points in time you should be able to come up with an exponential model that fits the data Given a single data point and information about the quantity s rate of growth eg percentage annual increase or doubling time you should be able to come up with an exponential model that fits You should be able to solve equations involving exponential functions using the natural log arit m Relevant problems include 201202 2192111 and 2114 0 Chapters 22 23 Parametric Equations and Uniform Linear Motion You should understand what it means to describe motion using a pair of parametric equa tions 1 ft7 y gt You should know that uniform linear motion ie constant speed motion along a line can be described parametrically with two linear functions zt a bt yt c dt You should be able to model uniform linear motion using linear parametric equations given a variety of forms of description of the motion For instance knowin the moving object s starting point direction of motion and speed Or knowing the object s location at two differ ent points in time See eg problem 237

### BOOM! Enjoy Your Free Notes!

We've added these Notes to your profile, click here to view them now.

### You're already Subscribed!

Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'

## Why people love StudySoup

#### "Knowing I can count on the Elite Notetaker in my class allows me to focus on what the professor is saying instead of just scribbling notes the whole time and falling behind."

#### "I bought an awesome study guide, which helped me get an A in my Math 34B class this quarter!"

#### "Knowing I can count on the Elite Notetaker in my class allows me to focus on what the professor is saying instead of just scribbling notes the whole time and falling behind."

#### "Their 'Elite Notetakers' are making over $1,200/month in sales by creating high quality content that helps their classmates in a time of need."

### Refund Policy

#### STUDYSOUP CANCELLATION POLICY

All subscriptions to StudySoup are paid in full at the time of subscribing. To change your credit card information or to cancel your subscription, go to "Edit Settings". All credit card information will be available there. If you should decide to cancel your subscription, it will continue to be valid until the next payment period, as all payments for the current period were made in advance. For special circumstances, please email support@studysoup.com

#### STUDYSOUP REFUND POLICY

StudySoup has more than 1 million course-specific study resources to help students study smarter. If you’re having trouble finding what you’re looking for, our customer support team can help you find what you need! Feel free to contact them here: support@studysoup.com

Recurring Subscriptions: If you have canceled your recurring subscription on the day of renewal and have not downloaded any documents, you may request a refund by submitting an email to support@studysoup.com

Satisfaction Guarantee: If you’re not satisfied with your subscription, you can contact us for further help. Contact must be made within 3 business days of your subscription purchase and your refund request will be subject for review.

Please Note: Refunds can never be provided more than 30 days after the initial purchase date regardless of your activity on the site.