PreCalc Chapter 4 Test Part 2

Question 0

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

Answer 0

Vertical

Question 1

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

Answer 1

Odd, origin

Question 2

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

Answer 2

Reciprocal

Question 3

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

Answer 3

Dampening

Question 4

The period of y=tanx is ____

Answer 4

Pi

Question 5

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

Answer 5

X does not equal npi where n is any integer

Question 6

The range of y=secx is ______

Answer 6

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

Question 7

The period of y=cscx is _______

Answer 7

2pi

Question 8

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

Answer 8

Mode (radian/degree)

Question 9

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

Answer 9

Same

Question 10

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

Answer 10

Undefined, asymptotes

Question 11

What is one period of a secant or cosecant function

Answer 11

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

Question 12

What is one period of a cotangent or tangent function

Answer 12

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

Question 13

What is the period of a tangent and cotangent function

How does this differ from other functions

Answer 13

Pi/b

Other functions are 2pi/b

Question 14

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

Answer 14

Cubic, cubic

Question 15

Initial critical value
Tangent:
Cotangent:

Answer 15

Intercept, asymptote

Question 16

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

Answer 16

No symmetry

Question 17

Even graphs are:

Odd graphs are:

Answer 17

Cosecant, secant

Tangent, cotangent

Question 18

How do you prove that a graph is odd algebraically?

Even?

Answer 18

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

Question 19

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

Answer 19

Cycle

Question 20

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

Answer 20

Amplitude

Question 21

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

Answer 21

Phase shift

Question 22

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

Answer 22

Vertical shift