Rational Functions
Logarithmic Functions
Basic Trig
Graphing Trig Functions
Analytic Trig
100

Identify the domain of the following in interval notation: r(x) = 1/x

What is (-inf, 0), (o, inf)

100

Evaluate: log base 3 of 1

What is 0

100

What is sin(5pi/6)

1/2

100

What is the amplitude for the following? y = -6cot(3x)

What is no amplitide

100

Evaluate: arctan(-1)

What is -pi/4

200
Identify the x and y intercept of the following: r(x) = (x + 4)/(2x - 1)
What is x int: -4 and y-int: -4
200

Evaluate: log(-10)

What is undefined

200

What is cot(pi/3)

\/3/3

200

What is the period of the following: y = -7cos(.5x - pi) + 5

What is 4pi

200

Use fundamental identities to simply the expression 

TanxCosx/Secx

Cosx

300
Identify the vertical asymptote of the following: r(x) = (x + 9)/(x + 5)
What is x = -5
300

Identify the domain of the following: y = log(x - 2). Use interval notation.

What is (2, inf)

300

Evaluate: sec(pi/3)

What is 2

300

What does the secx graph look like?

!

300

Express cotangent in two different formats

What is cot(x) = 1/tan(x) and cot(x) = cos(x)/sin(x)

400
Identify the horizontal asymptote of the following: r(x) = (3x^2 - 2x + 1)/(4x^2 + 6x - 5)
What is y = 3/4
400

Identify the vertical asymptote for the following: y = log(x + 4)

What is x = -4

400

If cos is -\/3/2 and sin is 1/2, What is tan?

-\/3

400

This trig function’s graph has vertical asymptotes at odd multiples of pi/2. What is it?

Tanx 

400

Find sin, cos, and tan using the reference angle -600°

Sin = \/3/2

Cos = -1/2

Tan = -\/3

500

What is the name of a third type of asymptote that a rational function can have?

What is a slant asymptote or an oblique asymptote.

500

Solve by Using One-To-One

e^(2x-3) = e^(-x^2)

X = 1

X = -3

500

If cos is 1/2 and sin is negative. Find tan, sin, cot, and csc.

Tan=-\/3

Sin=-\/3/2

Cot=-\/3/3

Csc=-2\/3/3


500

Describe the vertical transformation in y=−2cos⁡x+1.

a reflection over the x-axis, stretched by 2, then moved up 1?

500

Relate the following using identities:

(Sinx/Cosx) + (Cosx/Sinx) = CscxSecx

!

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