×

Let's log you in.

or

Don't have a StudySoup account? Create one here!

×

or

by: Sterling

2

0

4

MAT 109 Chapter 5 Study Guide MAT 109

Marketplace > Barry University > Mathmatics > MAT 109 > MAT 109 Chapter 5 Study Guide
Sterling
Barry University
GPA 3.7

Get a free preview of these Notes, just enter your email below.

×
Unlock Preview

These will be the notes specialized for the Chapter 5 test.
COURSE
Precalculus Mathematics 1
PROF.
Dr. Singh
TYPE
Study Guide
PAGES
4
WORDS
CONCEPTS
Precalculus
KARMA
50 ?

Popular in Mathmatics

This 4 page Study Guide was uploaded by Sterling on Wednesday September 14, 2016. The Study Guide belongs to MAT 109 at Barry University taught by Dr. Singh in Fall 2016. Since its upload, it has received 2 views. For similar materials see Precalculus Mathematics 1 in Mathmatics at Barry University.

×

Reviews for MAT 109 Chapter 5 Study Guide

×

×

What is Karma?

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

Date Created: 09/14/16
MAT 109 Precalculus Mathematics 1 Chapter 5 Study Guide Notes L. Sterling September 9th, 2016 Abstract Provide a generalization to each of the key terms listed in this section. 1 Factor Theorem First o▯, let f be a polynomial function. Since x ▯ c is a factor of f(x) i▯ [if and only if] f(c) be equaled to 0. ▯ If f(c) = 0, then x ▯ c would be a f(x)s factor. ▯ If x ▯ c would be a f(x)s factor, then f(c) = 0. 2 Intermediate Value Theorem This is denoting f to be a polynomial function while if both a < b with f(a) and f(b) being the opposite sign, then theres fs at least one actual [real] zero between for a and b. 1 3 Polynomial Function f (x) = a x + a xn▯1 + ::: + a x + a n n▯1 1 0 an 6= 0 Domain : All Real Numbers At Most [Turning Points] : n ▯ 1 n End Behavior : y = n x for jxj 4 Power Function x 4.1 f (x) = n ; n ▯ 2 Domain : All Real Numbers Range Nonnegative Real Numbers Function : Even Passing Points : (▯1; 1); (0; 0); (1; 1) Increasing : (0; 1) Decreasing : (▯1; 0) 4.2 f (x) = n ; n ▯ 3 Domain : All Real Numbers Range All Real Numbers 2 Function : Odd Passing Points : (▯1; ▯1); (0; 0); (1; 1) Increasing : (▯1; 1) Decreasing : None 5 Rational Function p : Polynomial Functions q : Polynomial Functions q : Not a Zero Polynomial p(x) R(x) = q (x) Domain : fx j q (x) 6 0g 6 Rational Zeros Theorem Since you are letting f is a polynomial function of degree 1 or any higher in the following form that note that each coe▯cient is an integer: n n▯1 f (x) = n x + a n▯1x + ::: +1a x +0a an 6= 0 a0 6= 0 3 p If you haveq[a rational zero of f] in its lowest terms, then you would have p being an a factor0a with q being a factornof a . 7 Real Zero of a Polynomial Function Real Numbers : f (x) = 0 Real Zeros : X ▯ Intercepts 8 Remainder Theorem First o▯, let f be a polynomial function. Since f(x) is the dividend, if f(x) is f(x) being divided by x ▯ c, which would look lx▯c, then the remainder would technically be f(c). 4

×

50 Karma

×

×

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

Steve Martinelli UC Los Angeles

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

Amaris Trozzo George Washington University

"I made \$350 in just two days after posting my first study guide."

Steve Martinelli UC Los Angeles

Forbes

"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."

Become an Elite Notetaker and start selling your notes online!
×

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