Function A:
. Vertical asymptotes are in the form x=, and they are a vertical line that the function approaches but never hits. They can be easily found by looking for values of <em>x</em> that can not be graphed. In this case, <em>x</em> cannot equal 0, as we cannot divide by 0. Therefore <em>x</em>=0 is a vertical asymptote for this function. The horizontal asymptote is in the form <em>y</em>=, and is a horizontal line that the function approaches but never hits. It can be found by finding the limit of the function. In this case, as <em>x</em> increases, 1/<em>x</em> gets closer and closer to 0. As that part of the function gets closer to 0, the overall function gets closer to 0+4 or 4. Thus y=4 would be the horizontal asymptote for function A.
Function B: From the graph we can see that the function approaches the line x=2 but never hits. This is the vertical asymptote. We can also see from the graph that the function approaches the line x=1 but never hits. This is the horizontal asymptote.
Answer:
Answer to first question is:
You can convert all fractions to decimals. The decimal forms of rational numbers either end or repeat a pattern. If the fraction is a mixed number, change it to an improper fraction. Divide the numerator by the denominator. If the division doesn't come out evenly, round the decimal off.
Answer to second question is: 0.222222
Answer to third question is: Yes
Step-by-step explanation:
Well the way I think of it is:
3/9 as a fraction is 1/3... so 1 divided by 3 equals 0.333333 repeating. You can even write it as:
_
0.3 with the fraction bar over it because it keeps repeating.
This goes for 2/9. All you have to do is do 2 divided by 9 and you get 0.222222 repeating. You can even write it as:
<h3>
_</h3>
0.2 with the fraction bar over it because it keeps repeating.
Hope this helps, have a good day. c;
Answer:
1,000
Step-by-step explanation:
because 800÷4=200 200×5=1,000
9514 1404 393
Answer:
- no square roots: -1000, -8
- one square root: 0
- two square roots: 8, 64, 1000
- no cube roots: <none>
- one cube root: -1000, -8, 0, 8, 64, 1000
- two cube roots: <none>
Step-by-step explanation:
The attached graph shows the square root relation (red) and the cube root function (blue). The function values are shown for x=0 and x=±8.
You can see that there are 2 square roots for positive numbers, one square root for 0, and 0 square roots for negative numbers. There is exactly 1 cube root for any number.
- no square roots: -1000, -8
- one square root: 0
- two square roots: 8, 64, 1000
- no cube roots: <none>
- one cube root: -1000, -8, 0, 8, 64, 1000
- two cube roots: <none>
_____
<em>Additional comment</em>
We call the square root curve a "relation" because it is <em>not a function</em>. A relation that is a function will have only one y-value for each x-value. For positive x-values, there are two square roots.
It is 3 because the when you draw a triangle you are drawing 3 lines
