Answer:
Horizontal Asymptote: y=2
Vertical Asymptote: x=3
Step-by-step explanation:
One way: Look at graph
Look at for a horizontal or vertical line that both lines don't touch.
Second Way:
When you look for vertical asymptotes, you set the denominator equal to zero and solve.
For example, the second question has a denominator of x-3.
x-3=0
x=3 (This is the vertical asymptote)
When you look for horizontal asymptote, you do long division.
For example, the first question 
The answer will be 2. 2 is the quotient. You only want quotient not remainder.
y=2.
I believe the answer the answer is 5.1 b
If period of
is one-half the period of
and
<span>
has a period of 2π, then
and
.
</span>
To find the period of sine function
we use the rule
.
<span /><span />
f is sine function where f (0)=0, then c=0; with period
, then
, because
.
To find a we consider the condition
, from where
.
If the amplitude of
is twice the amplitude of
, then
has a product factor twice smaller than
and while period of
<span> </span> is 2π and g(0)=0, we can write
.
Whatever you do to one side, you have to do to the other.
Try to get all the x values and regular values together.
To do that, just subtract both sides by 6x to cancel it out on one side and subtract it from the other side:
6x-6x+32=-2x-6x
=
32=-8x
now divide both sides by -8 to get the x by itself
32/-8=-8/-8x
= 32/-8=x
-4=x
so your answer is: x= -4
