Chapter 3 Class Notes 3-A2 (Lesson 3-1) Representing Relations p

Transcription

1 Chapter Class Notes Alg. H -A (Lesson -) Representing Relations p. - Relation: a set of ; can be represented b: Domain: set of values of the variable Range: set of values of the variable (Read E. ) Domain: Range: -0 (Read E. ) Domain: Range: (cont. on net page) Ch. Class Notes Alg H

2 (Lesson -) Representing Functions p. Function: relation in which each element of the is paired with eactl element of the (Read E. ) Vertical Line Test: to see if a represents a ; an vertical line cannot intersect the graph at more than point. Eamples (Read E. ) Function notation: represents the quantit (elements of the ) f represents the quantit (elements of the ) (Read E. ) : (Etra E.) g A. f B. f 0 C. g D. g Ch. Class Notes Alg H

3 -A Power Point Word Problems: Rectangles/Frames. A rectangular swimming pool is meters longer than it is wide. The pool is surrounded b a cement sidewalk that is meter wide. The area of the sidewalk is m. Find the dimensions of the pool.. A painting is 0 cm longer than it is wide. It is mounted in a frame that is. cm wide. The area of the frame is cm. Find the dimensions of the painting.. A rectangle is meters longer than it is wide. If the length and width are both increased b meters, the area is increased b m. Find the original dimensions.. Review: A car and a truck heading for San Pedro on the same freewa left the Los Cerritos Middle School parking lot at the same time. The car, which drove 0 mi/h faster than the truck, arrived in San Pedro after two hours. The truck arrived in San Pedro one hour later than the car. Find the rate of the car. Ch. Class Notes Alg H

4 -A Power Point Word Problems: Work Rate and Miture Miture problems: two or more items, which have unit prices, are combined together to make a MIXTURE with a. Verbal Model: cost amount + cost amount = cost amount of Miture. A lb. bo of rice that is a miture of white rice and wild rice sells for $.0 per lb. White rice b itself sells for $0. per lb. and wild rice alone sells for $. per lb. How much of each tpe of rice was used to make this miture? Solution:. Cand worth $.0 a lb. was mied with cand worth $. a pound to produce a miture worth $. a lb. How man pounds of each kind of cand were used to make 0 lbs. of the miture? Solution: Ch. Class Notes Alg H

5 Work rate problems similar to the problems we did using the formula: o rate time = distance Work rate: of the time needed to complete the whole job. o work rate time = work done Verbal Model: First Person s work done + Second Person s work done = job. Erin owns a florist shop. It takes her hours to arrange the flowers needed for a wedding. Her new assistant Niki can do the same job in hours. How long will it take the two women to complete the job together? Solution:. Charlotte and Core share a car. Charlotte can wash and wa the car in two hours, but it takes Core hours to complete the same job. How long will it take them to wash and wa the car if the re working together? Solution: Ch. Class Notes Alg H

6 -A (Lesson -A) Linear Functions and Graphing with Tables Power Point Notes In a equation with two variables the eponent of the variables is (or zero). The graph of a linear equation is the collection of all (, ) that are of the equation. E. : Before sketching a graph, make sure our equation is in. Solve for, making it easier to construct a of. E. : Ch. Class Notes Alg H

7 E. : E. : What should our graphs look like? Wh? Ch. Class Notes Alg H

8 -A (Lesson -B) Linear Functions: Graph Using - and -intercepts Power Point Notes Linear Equation: the equation of a ; the highest eponent of a variable is and ou can write the equation in Form Standard Form: The variable terms are on the side A is A and B can t both be A, B, C are The GCF ( ) of A, B, and C is. E. : E. : -intercept: the -coordinate of the at which the graph of an crosses the ; Let = 0 -intercept: the -coordinate of the point at which the of an crosses the ; Let = 0. E. : Ch. Class Notes Alg H

9 E. : E. : E. : Ch. Class Notes Alg H

10 -A (Lesson HEATH.) Horizontal and Vertical Lines Power Point Notes vertical line: has one and no -intercept; equation: horizontal line: has one and no -intercept; equation: A line that is neither horizontal nor vertical: -intercept. E. : E. : E. : E. : E. :, has -intercept and Ch. Class Notes Alg H

11 -A0 (Lesson ) Linear Relationships p. Count the number of lines in each..... CYP. p. CYP. p. CYU p. #- Ch. Class Notes Alg H

12 -A Chapter Review for Test Power Point E. : f E. : E. : Ch. Class Notes Alg H

13 E. : E. : 0 E. : E. : Ch. Class Notes Alg H