1. At which values of x does the graph of f(x)=cos x intersect the x-axis? Select all that apply. (2 answers)

Question

a. 0***
b. pi/2***
c. pi
d. 3pi/2
e. 2pi

2. Which of the following represents the domain and range of y=tan x?
a. domain: -infinity<x<infinity
range: -infinity<y<infinity, y does not =pi/2+n(pi), where n is an integer
b. domain: -infinity<x<infinity

Answer 1

please ignore the last question I meant to delete it:)

Answer 2

cosx = 0 for all odd multiples of pi/2

a is wrong -- cos 0 = 1

Answer 3

Thank you Steve. Can you explain this question to me please?

Answer 4

huh? I thought I did. cos(x) oscillates between 1 and -1, with a period of 2pi.
cos(0) = 1
cos(pi/2) = 0
cos(pi) = -1
cos 3pi/2 = 0
cos 2pi = 1
and it repeats all over again. Note that cosx is zero at all odd multiples of pi/2

So, you should have picked (b) and (d)

If this still makes no sense, you really really need to review the trig functions!

Answer 5

It does make sense now. I just wasn't fully understanding, but this helps. Thank you so much Steve!!!

Answer 6

1. pi/2 and 3pi/2
2. f(x)=cotx
3. domain: -inf<x<inf, x does not equal pi/2+npi, where n is an integer
range: -inf<y<inf
4. f(x)=cotx and f(x)=secx
5. It is true, because the cosine function has a period of 2pi
6. f(x) has no zeros and f(x) has a period of 2pi
7. right pi/4
8. 4pi
9. It has an amplitude of 1/4 and it is a horizontal shift of the parent function pi/3 units left
10. the amplitude and the vertical shift

js took quiz 10/10

Answer 7

Thank you so much random junior I got 100%

Answer 8

Appreciate it random junior