PreCalc Chapter 4 Test Part 2 Flashcards Preview

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Flashcards in PreCalc Chapter 4 Test Part 2 Deck (23)
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0
Q

The graphs of the tangent, cotangent, secant, and cosecant functions have _______ asymptotes

A

Vertical

1
Q

The tangent, cotangent, and cosecant functions are _______, so the graphs of these functions have symmetry with respect to the ____________.

A

Odd, origin

2
Q

To sketch the graph of a secant or cosecant function, first make a sect of its ______________ function.

A

Reciprocal

3
Q

For the function f(X)=g(X)*sinx, g(X) is called the ______ factor of the function f(X)

A

Dampening

4
Q

The period of y=tanx is ____

A

Pi

5
Q

The domain of y=Cotx is all real numbers such that _________

A

X does not equal npi where n is any integer

6
Q

The range of y=secx is ______

A

(-infinity, -1]u[1, infinity)

7
Q

The period of y=cscx is _______

A

2pi

8
Q

When you plug trig functions into your calculator, make sure you are in the right ____

A

Mode (radian/degree)

9
Q

The critical values of secant and cosine functions are the (same/opposite)

A

Same

10
Q

If cosine=0, secant= ______, meaning those points are now _______

A

Undefined, asymptotes

11
Q

What is one period of a secant or cosecant function

A

3 asymptotes and 1 U going up and 1 U going down

12
Q

What is one period of a cotangent or tangent function

A

Asymptote to asymptote with one intercept between and two “amplitudes”

13
Q

What is the period of a tangent and cotangent function

How does this differ from other functions

A

Pi/b

Other functions are 2pi/b

14
Q

The tangent looks like a ____ function while the cotangent graph looks like a negative ____ function

A

Cubic, cubic

15
Q

Initial critical value
Tangent:
Cotangent:

A

Intercept, asymptote

16
Q

If an even graph is shifted, it has (symmetry/no symmetry)

A

No symmetry

17
Q

Even graphs are:

Odd graphs are:

A

Cosecant, secant

Tangent, cotangent

18
Q

How do you prove that a graph is odd algebraically?

Even?

A

Odd: plug in -X, you get -f(X)
Even: plug in -X, you get f(X)

19
Q

One period of a sine or cosine function is called one _________ of the sine or cosine curve

A

Cycle

20
Q

The ________ of a sine or cosine curve represents half the distance between the maximum and the minimum values of the function

A

Amplitude

21
Q

For the function y=asin(bx-c), c/b represents the _______ _____ of the graph of the function

A

Phase shift

22
Q

For the function y=d+acos(bx-c), d represents a ______ ________ of the graph of the function

A

Vertical shift