20 points Completion 20 points - Accuracy

Size: px

Start display at page:

Download "20 points Completion 20 points - Accuracy"

Harriet Reed
5 years ago
Views:

1 Algebra II Final Eam REVIEW 015 Name 0 points Completion 0 points - Accurac The eam review will be graded on completion (0 points) and randoml selected problems answered correctl with accurate work shown (0 points) DIRECTIONS: SHOW WORK TO RECEIVE FULL CREDIT Bo or Circle all final answers. The entire eam review packet is due no later than: Thursda, Ma 8, 015 for 4 bonus points Frida, Ma 9, 015 for bonus points Monda, June 1, 015 (B da classes) or Tuesda, June, 015 (A da classes) for a maimum of 40 points out of 40 points (no bonus) Turn packet into the teacher NOT the mailbo. ALL STUDENTS (seniors and non-seniors) MUST TURN THIS IN!!!!! The Final Eam will consist of material covered from: Unit 5 (Polnomials Ch 5); Unit 6 (Radical Functions Ch 6); Unit 7 (Rational Functions Ch 8); Unit 8 4 th quarter packet (Sequences and series; Statistics; Regression; Eponential & Logarithmic Functions); and Prep for Net ear Topics.

2 Unit 5 (Polnomials Ch 5) 4 Use snthetic substitution to find the value of f ( ) 5 6 1, when = - Complete the statement regarding the end behavior of the graph of f ( ) 5, as, f ( ) Factor completel: 16 c h b g Use snthetic division to find the quotient of Use snthetic division to divide f() = 9 5 b ( 1). Find all of the possible rational zeros of f ( ) If is a zero, what is its factor? If ( + 4i) is a zero, what is another zero?

3 Find all the zeros of the function using factoring: f ( ) Write a polnomial function in standard form that has real coefficients, the given zeros, and a leading coefficient of 1. Zeros:, 4, -i Factor the polnomial g() = completel, given one of its zeros is -1. Given the polnomial f() = , find ALL zeros given ( 6) is a factor. Find ALL the solutions of the function: f ( ) 4 Show the snthetic division and other work for full credit.

4 Using the graph to the right, write the function in its factored form. Factored form: Perform the indicated operation. ( ) - ( ) ( + ) Perform the following operations using the functions f() = 4 1 and g() = 5 4. Find f(g()) Find f(g()) Perform the following operations using the functions f() = and g() = + 1 Find g(f(-)) Find g(f())

5 Unit 6 (Radical Functions Ch 6) Identif the following characteristics using the given graphs. (Estimate our points for & intercepts) Domain Range -intercepts -intercepts Intervals in which the function is: Increasing Decreasing Domain Range -intercepts -intercepts Intervals in which the function is: Increasing Decreasing

6 Graph each of the following. Clearl label at least distinct points on our graph. 1 (h, k) (h, k) X Y X Y Solve each equation. Show all work to earn credit. Write all answers in simplest form (no decimals). 10 ( 7) = = 4

7 What is the solution set for 1 4? Find the inverse of f() = What is the solution set for 10 9? Identif the domain of the function: f ( ) 10 A. = 5 B. = 4 C. = 5, 4 D. No solution A. > 10 B. < 10 C. > -10 D. < -10 Solve the equation: 4 81 A. = B. = - C. = ± D. = ±9 Which functions is the inverse of f ( ) 1 A. 1 f ( ) 4 B. 1 1 f ( ) 1 C. 1 1 f ( ) 4 D. 1 1 f ( ) 1 Simplif: 48a 5 b 11 c 7 Simplif: 5

8 Simplif: 7 48 Simplif: Simplif and rewrite in simplest radical form: (Hint eponent rules) Simplif and rewrite in simplest radical form: (Hint eponent rules) n 4 n Simplif and rewrite in simplest radical form: (Hint eponent rules) 5 1 Rewrite the following in eponential notation: a b c 5 1 Solve: ( 9) = -50 Graph: 5 Rewrite the following in radical notation: m n (h, k) Simplif the following:

9 Unit 7 (Rational Functions Ch 8) Graph the rational functions given and identif the necessar information below. f() 4 Vertical asmptote Horizontal asmptote Domain Range f() 1 Vertical asmptote Horizontal asmptote Domain Range Determine the following for the graph of f( ) 56 Hole in the graph: Yes or No If es, name the point: VA: HA: Domain: Range:

10 Variation: The variable z varies directl with and inversel with. When = 4 and = 8, z = 56, write an equation relating,, and z. Wind chill factor (W) varies directl with temperature (T) and inversel with the wind velocit (v). If k is the constant of proportionalit, write the formula that represents this relationship? Simplif the following rational epressions. Show work to earn credit ( + 6)

11 Solve the following equations Statistics A random surve was conducted to determine the cost of residential gas heat. Analsis of the surve results indicated a normal distribution with a mean monthl cost of gas of $15, and a standard deviation of $10. a. What percent of homes will have a monthl bill of more than $118? b. What percent homes will have a monthl bill between $118 and $10? c. Determine the percentile for a monthl bill of $140. A stud of weekl salaries at High Tech Manufacturing indicated that weekl salaries are normall distributed with mean = $75 and standard deviation = $45. What salar represents the 80 th percentile?

12 From a group of 40 people, a jur of 1 people is selected. In how man different was can a jur of 1 people be selected? In one Austrian province, a vehicular plate number consists of 4 letters and numbers. How man plate numbers are available? Sequence and series Evaluate: 5 ( k k) k Determine if the following sequences are arithmetic, geometric, or neither. (If arithmetic, determine the common difference. If geometric, determine the common ratio) a), 6, 18, 54, 16 b) 1,, 6, 10, 15 c) 5,, 1, 4, 7 d) 5, -1,, 7, 11 Write the rule for the arithmetic sequence when a 14 = -7 and d = -8 Find the sum. 6 n1 n a1 Using the formula S n = 1 r, find the sum of Write a rule for the nth term of the geometric sequence -, 8, -, 18,

13 Regression of various functions: Use our calculator to find the model for each of the following problems. Then, use our model to answer the following questions. The table below shows the speed, measured in feet per second, of a space shuttle seconds after its launch. Find the cubic model for the data a) Determine the Cubic Model for the data set above: (round to decimals) b) How fast will it be traveling 90 seconds after launch? Eponential and Logarithmic Functions: f () f () log Asmptote: Domain: Range: Asmptote: Domain: Range: Miscellaneous Topics: The material after the Statistics Quiz is on the FINAL eam be sure to stud this material. This packet is onl an overview of topics. Also Stud using our notes packets & previous assessments.

College Algebra Final, 7/2/10

College Algebra Final, 7/2/10 NAME College Algebra Final, 7//10 1. Factor the polnomial p() = 3 5 13 4 + 13 3 + 9 16 + 4 completel, then sketch a graph of it. Make sure to plot the - and -intercepts. (10 points) Solution: B the rational