uni 7 precalc apex

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

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

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

1 and 4 only

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

false

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

y=secx

what is the range of the function y=2sinx

-2,2

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

-7

which graph appears to show a sinusoid

(1 and 2 only)

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

1

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

(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

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 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 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