PreCal Project :)

Attributes of Graphs

100

Determine the absolute value of the function f

(It wont let me add an image so you'll have to suffer with me)

-3

200

What type of discontinuity is shown in the graph?

(Again no image, but its the lines that curve in opposite directions)

Infinite Discontinuity

300

What are the three discontinuities called?

Removable, Jump, and Infinite

400

A car(c) is 80mi North of a person(p) and driving towards them at a rate of 30mi an hour. At the same time, another car(b) is 130mi East of the person, going West at 40mi per hour. How far is each car from the person after 2 seconds?

Car 1: 80-30(2) = 20

Car 2: 130-40(2) = 50

500

List all features of the graph.

(Since I can't put in an image, I'm gonna tell you that the graph goes through -2, 0, and 2)

Domain: All Real Numbers

Range: All Real Numbers

Roots: -2, 0, 2

Local Peak: (1,1)

Local Valley: (-1,-1)

Symmetry: Odd

Trig Graphs/Transformations

100

What does the midline, amplitude, and Period mean?

Midline: Horizontal line that goes through the middle of the maximum and the minimum values in a graph.

Amplitude: Height from center line to the peak.

Period: Range of x-values it takes to repeat a cycle.

200

On a graph, draw 3csc(2x)-4

Girl I did not do this problem and was not given an answer :/ 

300

What is the Period for 4π?

1/2

400

f(x) = 5sin(13(x-10)) + (-19)

Which of these numbers represents Amplitude?

5sin (or just 5)

500

Factor 25cos²θ - 9- 0

(5cos x - 3)(5cos x + 3)

Triangle Trigonometry

100

What are the names of all three ratios?

Sin, Cos, Tan

200

Find the length of KN (Law of Cosine)

√38²+40²-2(38)(40)

KN = 2

300

Find side c

35² + 20² --> 1,225 + 400 = √1,625 = ???

40.3

400

Solve for the opposite of the right triangle. Angle = 45, Hyp = 18ft

Sin(45) * 18 = 13ft

500

Find side b. Angle A = 42, Angle B = 117, side a = 6

side b = 7.99

Unit Circle

100

In which Unit Circle Quadrant will 675 land in?

Quadrant IV

200

Find a reference angle on the Unit Circle for 987

987 - 360 = 627 - 360 = 267

270 - 267 = 3

300

What is the sin of -45?

-45 + 360 = 315

y of 315 = -√2/2

400

What is the tan of 7π/6?

1/√3

500

Solve cos(x) = √3/2

√3/2 is in Q1 and Q4, angle 330 and 30

Evaluating Functions

100

f(x) = 5x. Find f(10). If x = 10, are you multiplying or dividing?

Multiplying

200

Given f(x) = 7x-1, find f(-2)

7(-2)-1 = -15

300

Solve for x when m(x) = 3

x = 0, 1, 2, 3, 4, 5, 6, 7

m(x) = 2, 4, 6, 3, 0, -1, 0, 3

x = 3, x = 7

400

3x² + 5x + 1, find f(2)

3(2)² + 5(2) + 1 = 23

500

Solve.

f(x) = -x + 1   x = -3

f(-3) = -(-3) + 1 = 4