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 ![f(x)=\frac{2x}{x-3}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B2x%7D%7Bx-3%7D)
The answer will be 2. 2 is the quotient. You only want quotient not remainder.
y=2.
By Sine Rule,
x/sin30° = 8/sin90°
x/0.5 = 8/1
So x = 4.
Answer:
47/12, or 3 11/12
Step-by-step explanation:
9 1/2 - 5 7/12 > convert to improper fractions
19/2 - 67/12
make same denominator (12)
19/2 * 6 = 114/12
114/12 - 67/12 = 47/12
Answer:
Step-by-step explanation:
Domain is the independent variable (x)
Range is the dependent variable (y)
For each of these you would just put what x and y are equal to
For the Domain you would put:
0<=x<=3
<= is less than or equal to
For the Range you would put
1<=y<=4
The line is a function