Apex precalculus 2

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

which of the following are equivalent to the function y=4cosx check all that apply y=4sin(x+pi/2) y=4cos(-x) y=4sin(x-π/2)

asymptote

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

A is amplitude B is period

What are A and B from previous graph

y=3cos(x+3)-2

What is equation whose cosine function is vertically shifted downwards by 2 and horizontally shifted to left by 4 with amplitude of 3

y=0.5cosx

What is function whose graph above?

y=± A sin[ ± B(x ± C)]± D

What is general transformation equation for trig functions

5 ( 2 π cycle, 0, 0,5π, π, 1.5π, 2π)

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

the range (-infinty,0) U(2, infinity)

What is the range of equation y=sec(x)+1?

y=-cos x-2

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

y=cotx

choose the function whose graph is shown below

True

(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.

false

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

1) ± reflection over X axis(first ±) 2) A is vertical stretch(A>1)/ shrink(A<1) amplitude A = (Ymax-Ymin)/2 3) ± reflection over Y axis (2nd ±) 4) B is horizontal stretch(B<1)/shrink(B>1) a part of period where P= 2π/B 5) C is horizontal shift(phase shift) + left -right 6) vertical shift + up - down

Describe equation y=± A sin[ ± B(x ± C)]± D

2 π

what is the period of the function y=2sinx

-2,2

what is the range of the function y=2sinx

y=cosx

which functions graph is shown below

(1 and 2 only)

which graph appears to show a sinusoid

y=cotx y=cscx y=sinx y=tanx

which of 6 trigonometry functions are odd?

(false)

(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

True

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

y=-cosx

Which equation represents the graph shown

y=cotx

Which equation represents the graph shown

y=cscx

Which equation represents the graph shown

y=secx

Which equation represents the graph shown

y=tanx

Which equation represents the graph shown

Blue

Which graph ( color) represents the equation y=2sinx

B

Which natural phenomenon is the best example of periodic behavior a) lightning b) sunrise c) raining d) tornado

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

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

y=sinx+1

choose the function whose graph is given by

y=cscx

choose the function whose graph is shown

y=secx

choose the function whose graph is shown

y=tanx

choose the function whose graph is shown

all real numbers

the domain of the sine function is ___

y=cos x-2

what is function whose graph is given above?

5 = |5|

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

x ≠ (π/2) + nπ

which of the following describes the domain of y=secx, where n is any integer a) {x|x ≠ π/2 + nπ} b) {x|x ≠ nπ } c) {x|x ≠ 1} d) {x|x ≠ πn/2} where n is integer

B,c,d

which of the following functions are NOT a sinusoid a) y= 2cos(x) b) y= tan(x) c) y= csc(x) d) y= √x

y=secx y=cscx

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

y=cotx y= cscx

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


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