Coord. Algebra Support Unit 3 Review

Coord. Algebra Support Unit 3 Review Name: ______Date: ______Use the following to review for your test. Work the Practice Problems on a separate sheet of paper. What you need to Things to know & be able to Problem Problem remember do 1. Graph the funtion f(x)= 3x - 3 Domain: ______

 Domain Range: ______ Range  Y-int X-Int:______Y-Int: Characteristics of  X-int Functions  Inc/Dec ______ Asymptote  Rate of Change Inc or Dec

Asymptote: ______

RoC from x = 0 to 1: ______

2. (6,17) a nd( 2,9) 3. When x1= 2 andx 2 = 4

 Rate of Change  Average Rate of Average Rate of Change Change y2- y 1  Slope x2- x 1

4. Describe the 5. Write an equation for the transformations of the description: An exponential Reflection  following: with base of 4 that is shrunk  Stretch/Shrink Transformations x- 5 by 2/3, moved left 7, and  Shift Left/Right y= - 3 6 + 11 ( ) down 2.  Shift Up/Down

2 f( x) = x - 2x + 5 7. g( 3) - f( - 1)

 Choose the g( x) = 2x2 - 5x - 10 correct functions.  Pay attention to Simplifying and 3 where the h( x) = 2x Evaluating number is if Functions 8. h( x) g( x) there is one. 6. f( x) - g( x)  Combine Like Terms. Coord. Algebra Support Unit 3 Review Arithmetic 9. Find the common 10. Find common ratio, the  Adding or difference, the explicit explicit formula, and the 8th Subtracting to formula, and the 10th term. term. get to the next 3, 9, 15, 21, … 256, 64, 16, 4, … term. Sequences 

(Arithmetic and an= a 1 + d( n - 1) Geometric) Geometric  Multiplying or dividing to get to the next term. n- 1  an= a 1 ( r) 11. Two companies are offering deals on buying a new car. Toyota says that they will charge you $2000 to begin with and then you will make a monthly payment of $200. Honda  Starting value- says that they will charge you $10 to begin with but you will Function double the amount you pay each month. y= mx + b Write an equation for each company. y= a b x Toyota: Comparing Functions and Honda: Sequences  First Time - Sequence Compare the rates of change and the y-intercepts.

an= a 1 + d( n - 1) n- 1 a= a( r) n 1 When will it be cheaper to buy a car from Toyota?

12. The attendance of Braves 13. Chick-fil-A starts off making games started out at $30,000 a year. Their profit 112,000 people in 1996 is growing at a rate of 5% but has been decreasing each year. at a rate of 1.5% each  Growth: season. Write an equation to represent x y= P( 1 + r) the profit of Chick-fil-A. Write an equation to represent Growth and Decay  Decay: the attendance of the games Models x y= P( 1 - r) since 1996.  Factor: whole According to the equation, how parentheses much money will Chick-fil-A make after 15 years?  Rate: Percent According to the equation, when will attendance be under 50,000 people?