FOR ALL STUDENTS TAKING Pre-Calc/Trig B - … Student and Parent/Guardian, The math department at...

FOR ALL STUDENTS TAKING

Pre-Calc/Trig B

2013-2014

SUMMER REVIEW PACKET  

Dear Student and Parent/Guardian, The math department at Central Dauphin School District wants you to be successful in Pre-Calc/Trig B. This summer packet is designed to help you reach these goals by reviewing necessary skills.

Be sure to follow the key information below when completing this packet:

The packet is due when you return to school in August.

Every problem must be completed. None left blank.

The packet is worth 10 times a regular homework grade.

Work must be shown to receive credit – no work, no points.

Final answers must be shown on the answer pages at the back of the packet.

A possible Quiz covering the material from the packet may be given at the end of the first week of school. These topics also tie in with the first few units of Pre-Calc/Trig B.

When you return in August, you will have the opportunity to ask questions. Math Help will also be available during the first week. We hope that you have an enjoyable summer and return to school ready to be successful in Pre-Calc/Trig B!

Helpful Websites www.glencoe.com www.wolframalpha.com www.regentsprep.org www.purplemath.com/modules www.Aleks.com (a website where you can subscribe for individual math lessons) www.khanacademy.org  

1.Determine the domain of the function

Use the graph to determine the domain and range of the relation, and state whether the relation is a function.

2.

–4 4 x

1

–1

y

3. Given and Find

4.Find the first three iterates of

5.Find the zero of the function

6.Determine the standard form of the equation of the line that passes through and

Graph the function.

7.

Graph the inequality.

8.Graph .

9.Solve the system of equations algebraically.

10.Solve the system of equations.

11.Solve the system of inequalities by graphing.

12.Is the following function an even function, an odd function, or neither?

Identify the change in the parent function that will produce the related function shown as a dashed line.

13. 14.

10–10 x

10

–10

y

10–10 x

10

–10

y

15. Solve .

16. Given: Then state whether is a function.

17. Determine whether the graph of has infinite discontinuity, jump discontinuity, point

discontinuity, or is continuous.

Without graphing, describe the end behavior of the graph of the function.

18.

19.Locate the asymptotes and graph the rational function

20.Find the vertical, horizontal, and slant asymptotes, if any, for

Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation.

21.If y varies as directly as the square of x, and when find y when

22.Given that one zero is –4, find all zeros of .

758

23.Solve by completing the square.

24.Find the discriminant and describe the nature of the roots of .

Solve.

25.

26.

27.

28. Change to degrees, minutes, and seconds.

29.Write ´ ´´ as a decimal to the nearest thousandth.

30.Give the angle measure represented by rotations counterclockwise.

31.Find the least positive angle measurement that is coterminal with .

Find the values of the six trigonometric ratios for .

32.

33.If , find .

34.Find sin if is an angle in standard position and the point with coordinates (4, 3) lies on the terminal side of the angle.

35.Find cos if is an angle in standard position and the point with coordinates (3, –4) lies on the terminal side of the angle.

36.If c = and , find a. Round to the nearest tenth.

Evaluate the expression. Assume that all the angles are in Quadrant I.

37.

Solve the equation if 0 x 360.

38.

39.In right triangle ABC, A = 15, c = 37, and C is the right angle. Solve the triangle. Round to the nearest tenth, if necessary.

40.Solve triangle ABC given that A = °, B = °, and b = 9.

41.Given a triangle with b = , c = , and A = °, what is the length of a? Round to the nearest tenth.

42.Change radians to degree measure.

43.Change to radian measure in terms of

44.State the amplitude and period of the function:

Fill in the Unit Circle. Write the (x,y) coordinates in the parentheses; write the degrees on the middle line; write the radian measure on the inside line.

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