Precalculus Review

Question 1

The graph of y=x3 was transformed to the graph of y=(x-3)3+4. Which is true?

Accepted Answer

The point (x,y) on y=x3 was translated to (x+3, y+4).

Question 2

For which value of θ is tanθ undefined?

Accepted Answer

π/2

Question 3

Complete the Pythagorean Identity.

Accepted Answer

tan2x

Question 4

If cotθ > 0, sinθ < 0, and cosθ < 0, what can you infer?

Accepted Answer

θ is in the third quadrant

Question 5

Solve the exponential equation (round to the nearest thousandth)

Accepted Answer

x=2.102

Question 6

Solve:

Accepted Answer

x = 2/5

Question 7

True or False: x = 2 is a solution for the following:

Accepted Answer

False

Question 8

What is the degree of the polynomial? t2-t3+5t+0.5t6.

Accepted Answer

6

Question 9

What is the equation for the accompanying graph?

Accepted Answer

y = sin(3x)

Question 10

What is 11π/6 in degrees?

Accepted Answer

330˚

Question 11

Identify the Conic Section

Accepted Answer

Ellipse

Question 12

What is tan(135˚)?

Accepted Answer

-1

Question 13

Determine if the function is odd, even, or neither: y = |x|3

Accepted Answer

Even

Question 14

Simplify: (tanx*cscx)/(secx)

Accepted Answer

1

Question 15

What is the sine of 270˚?

Accepted Answer

-1

Question 16

Factor the trinomial completely: x2+x-6

Accepted Answer

(x-2)(x+3)

Question 17

Does this function have a vertical asymptote or a hole? If so, where?

Accepted Answer

V.A. at x=2

Question 18

What is the equation for the accompanying graph?

Accepted Answer

y = 2csc(x)

Question 19

What is the period of the graph whose equation is y = 3cos(2x)?

Accepted Answer

π

Question 20

If secθ = 13/5, what is the hypotenuse?

Accepted Answer

13

Question 21

solve using synthetic or long division

Accepted Answer

x^3-5x^2-x+7 R3

Question 22

What is the center of the circle formed by the following equation

Accepted Answer

(2, -1)

Question 23

What is 30˚ in radians?

Accepted Answer

π/6

Question 24

Solve the equation...

Accepted Answer

n = 5

Question 25

Complete the trig identity. sin(x) =

Accepted Answer

1 ∕ csc x

Question 26

What is the minimum value in the range of y = 2sinx + 3?

Accepted Answer

1

Question 27

What is the amplitude of the graph of the equation y = 3cos(2x)?

Accepted Answer

3

Question 28

What is the range of the function y = 5sinx?

Accepted Answer

-5 ≤ y ≤ 5

Question 29

What is the range of this piecewise function?

Accepted Answer

All y≤4

Question 30

Rationalize:

Accepted Answer

2(sqrt(x)+3)/(x-9)

Question 31

What is the cosecant of θ?

Accepted Answer

5/3

Question 32

Expand the logarithm

Accepted Answer

6 log7x + 6 log7y

Question 33

Identify the vertical asymptote.

Accepted Answer

D

Question 34

Given: g(x) = 3x2-4x and h(x) = 5-3x. Find (h-g)(x).

Accepted Answer

-3x2+x+5

Question 35

Identify the conic section.

Accepted Answer

Circle

Question 36

Determine if the function is odd, even, or neither: y = x2-4x-4.

Accepted Answer

Neither

Question 37

Factor the four term polynomial by grouping: 2x+16+xy+8y

Accepted Answer

(x+8)(2+y)

Question 38

Identify the conic section

Accepted Answer

Parabola

Question 39

Simplify:

Accepted Answer

81/(81x-5x2)

Question 40

What is the equation for the accompanying graph?

Accepted Answer

y = cos(0.5x)

Question 41

Which of the following graphs can be represented by the function: f(x)=2x6 - 3x2 - 2?

Accepted Answer

B

Question 42

Use a calculator to find the approximate 1st quadrant value for x (in degrees): 10sinx + 15 = 20 - 3sinx.

Accepted Answer

23

Question 43

Solve using a reference triangle.

Accepted Answer

b

Question 44

Factor: 6x2-37xy+45y2

Accepted Answer

(2x-9y)(3x-5y)

Precalculus Review

Questions 44

Precalculus Review

Questions 44