uni 7 precalc apex

choose the function whose graph is shown below (lines look like upside down and right side up u's, pass directly over y)

y=secx

which of the following have period 2π? check all that apply

y=secx y=cscx

which function has the graph shown below

y=sin(x+pi )

choose the function whose graph is given by

y=sinx-3

choose the function whose graph is given by

y=tan(x-pi )-2

choose the function whose graph is shown below (mutiple lines on graph look like stretched out S'es)

y=tanx

(true or false) The graph of y=4 sin(x+3)-2 is obtained by shifting the graph y=4 sin x-2 horizontally 3 units to the right

false

(true or false) the cosine function is an odd function

false

which of the following functions illustrates a phase shift

y=-2-cos(x-pi)

Which equation represents the graph of y = cos x flipped across the x-axis then shifted vertically down by 2 units?

y=-cos x-2

choose the function whose graph is given by

y=0.5cosx

choose the function whose graph is given by

y=2sec((1)/(2)x)

which function has the graph shown below

y=3cos(-x)

which functions graph has a period of 2

y=3cospi x

choose the function whose graph is given by

y=3sin(x-2)+1

choose the function whose graph is given by

y=4cos(2x)

which of the following are equivalent to the function y=4cosx-2? check all that apply

y=4sin(x+pi/2) - 2 y=4cos(-x)-2

choose the function whose graph is given by

y=cos x-2

choose the function whose graph is given by

y=cos(4x)

choose the function whose graph is given by

y=cos(x+1)

Which graph represents a phase shift of π/2 units left for the graph of y = sinx

y=cosx

which graph appears to show a sinusoid

(1 and 2 only)

what is the maximum value that the graph of y=cosx assumes

1

what is the range of the function y=2sinx

-2,2

which functions graph has asymptotes located at the values x=+-npi

1 and 4 only

Let the function f(x) have the form f(x) = Acos(x + C). To produce a graph that matches the one shown below, what must the value of C be?. A.1. B.3. C.4. D.2

2

what is the period of the function y=2sinx

2 radian

What is the horizontal displacement of the basic graph to produce a graph of y=pi-3cos(x-2)

2 units right

what is the period of the secant function

2pi

Which function has a domain of all real numbers except x=pi/2 +- npi?

y=secx

for the function y=-3+4cos((5π)/6(x+4)) what is the minimum value

-7

Let the function f(x) have the form f(x) = Acos(x + C). To produce a graph that matches the one shown below, what must the value of A be?. A.1. B.3. C.4. D.2

4

what is the amplitude of the sinusoid's graph: y=-4sin3x

4

What is the minimum number of points required to mark all maximum, minimum, and zeros in a period of a sinusoid

5

for the function y=-1+6cos((2π)/7(x-5)) what is the maximum value

5

what is the amplitude of the sinusoid given by y=-5sin(7x)

5

what is the period of the sinusoid given by y=-3cos(2π/5(x))

5

Which of the functions have a range of all real numbers greater than or equal to 1 or less than or equal to -1? check all that apply. A. y=sec x B. y= tan x C. y= cot x D. y= csc x

A. y=sec x D. y= csc x

the domain of the sine function is ___

all real numbers

The vertical _____ of the function cosecant are determined by the points that are not in the domain.

asymptote

Which description matches the transformations y=cos x undergoes to produce y=3cos (-2x)

horizontal compression by factor 1/2, reflection through the y-axis, then vertical stretch by factor 3

Consider the function y=-2-3cos(x+Pi) what effect does PI have on the basic graph

horizontal shift left pi units

The term that describes how long it takes a function to repeat its behavior is the ___

period

at which value will the graph of y=cotx have a zero

pi/2

Which scenario describes periodic behavior

the movement of a cd in a cd player

Which natural phenomenon is the best example of periodic behavior

the time of sunrise each day

(true or false) Reflecting the graph of y=cosx across the y axis is the same as not reflecting it at all.

true

(true or false) The domain of y = csc x is given by x≠nπ.

true

(true or false) a function whose values repeat based on positions of a point that moves around a circle is called a sinusoid

true

which of the following are vertical asymptotes of the function y=3cot(2x)-4 check all that apply

x = 2pi x = +- pi/2 x = pi

which of the following describes the domain of y=secx, where n is any integer

x ≠ (π/2) + nπ

which of the following functions is NOT a sinusoid

y= Sqrtx

which functions graph is shown below

y=cosx

which of the following is a sinusoid

y=cosx

choose the function whose graph is shown below (mutiple lines on graph look like stretched out 2's)

y=cotx

which function has the graph shown below

y=cotx

which function is odd? check all that apply

y=cotx y=cscx y=sinx

which function has the graph shown below

y=csc(x)+1

choose the function whose graph is shown below (lines look like upside down and right side up u's, doesnt pass over y)

y=cscx

which function has the range (-infinty,0) U(2, infinity)

y=sec(x)+1