### Create a StudySoup account

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

Already have a StudySoup account? Login here

# MAT 140 Exam 3: notes, quizzes, test MAT 140

MSU

GPA 3.48

### View Full Document

## 17

## 0

## Popular in College Algebra

## Popular in Math

This 69 page Bundle was uploaded by Sydney Hunt on Tuesday May 17, 2016. The Bundle belongs to MAT 140 at Murray State University taught by Dr. Donnelly in Spring 2016. Since its upload, it has received 17 views. For similar materials see College Algebra in Math at Murray State University.

## Reviews for MAT 140 Exam 3: notes, quizzes, test

### 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: 05/17/16

MAT 140-01 College Algebra Test #3 April 20, 2016 NAME ▯ You must show all the steps that justify your problem solutions! Answers must be accompa- nied by supporting work. ▯ Unless otherwise indicated, use algebraic methods to solve each problem. ▯ Give exact answers; unless otherwise indicated, calculator approximations will not receive full credit. ▯ Be sure to check your work! ▯ If you need more room, use the back of one of the test sheets. Here are some formulas: More formulas on the back... Good luck! I am rooting for your success! MAT 140-01 College Algebra Test #3 April 20, 2016 NAME 2 1. Given the basic function y = x , suppose the following transformations are applied to its graph: 1st, shift the graph right 4 units; 2nd, re ect the graph across the x-axis; and 3rd, shift the graph down 3 units. What is an equation for the resulting graph? 2. The graph of y = f(x) is shown below. Graph y = ▯f(x + 2) on the axes provided. Label with (x;y)-coordinates the destination of each of the four key points from the original graph. 6y 6 (-4,3) r Q Q ▯▯r,2) (-1,1)r ▯ ▯ A A - - A x x A (5,-2) 3. Solve the following quadratic equation by any algebraic method. Give exact answers, and be sure to simplify your answers: 2 4x + 4x ▯ 15 = 0 4. Solve the following quadratic equation by using the quadratic formula or by completing the square. Give exact answers, and be sure to simplify your answers: 2 x ▯ 12x ▯ 3 = 0 5. Consider the quadratic function y = f(x) = ▯3x + 4x + 4. (a) Find the vertex of the parabolic graph. (Give exact, simpli▯ed values for the x-coordinate and for the y-coordinate of the vertex.) (b) Identify the range of this quadratic function in interval notation. (An answer by itself is su▯cient here, but I can’t give partial credit for incorrect answers unless you give a justi▯cation.) p 6. Solve the following radical equation: 3x + 10 = x ▯ 6. 7. Solve the following inequality, and express your answer in interval form: j7x ▯ 15j > 1: 3 2 8. Suppose P(x) = 4x ▯10x ▯x+7 and d(x) = x▯3. Use polynomial long division to ▯nd the quotient Q(x) and remainder R(x) when we divide P(x) by d(x). Then write 4x ▯ 10x ▯ x + 7 R(x) your answer in the form = Q(x) + . x ▯ 3 x ▯ 3 2x + 10x 9. Consider the rational function y = f(x) = 3 2 . x + 2x ▯ 15x (a) Find the domain of this function. You do not have to write this in interval notation. (b) YES or NO: Does this function have any y-intercepts? If YES, say what the y-intercept(s) are. If NO, give a mathematical reason why not. (c) YES or NO: Does this function have any x-intercepts? If YES, say what the x-intercept(s) are. If NO, give a mathematical reason why not. 2x + 10x 10. Consider the rational function y = f(x) = 3 2 , which is the same as the x + 2x ▯ 15x previous problem. (a) Write this rational function in reduced form. (You may use work from the previous problem.) (b) Using part (a) of this problem, determine the equation for any vertical asymptotes. (c) Write down the equation for the horizontal asymptote, and give a reason for your answer.

### 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

#### "There's no way I would have passed my Organic Chemistry class this semester without the notes and study guides I got from StudySoup."

#### "Selling my MCAT study guides and notes has been a great source of side revenue while I'm in school. Some months I'm making over $500! Plus, it makes me happy knowing that I'm helping future med students with their MCAT."

#### "There's no way I would have passed my Organic Chemistry class this semester without the notes and study guides I got from StudySoup."

#### "It's a great way for students to improve their educational experience and it seemed like a product that everybody wants, so all the people participating are winning."

### 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.