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svet-max [94.6K]
3 years ago
5

What are the values of each variable

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
3 0

Answer:

Step-by-step explanation:

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Part 3 - Discussion/Explanation Question
SpyIntel [72]

Step-by-step explanation:

Vertical asymptote can be Identites if there is a factor only in the denominator. This means that the function will be infinitely discounted at that point.

For example,

\frac{1}{x - 5}

Set the expression in the denominator equal to 0, because you can't divide by 0.

x - 5 = 0

x = 5

So the vertical asymptote is x=5.

Disclaimer if you see something like this

\frac{(x - 5)(x + 3)}{(x - 5)}

x=5 won't be a vertical asymptote, it will be a hole because it in the numerator and denominator.

Horizontal:

If we have a function like this

\frac{1}{x}

We can determine what happens to the y values as x gets bigger, as x gets bigger, we will get smaller answers for y values. The y values will get closer to 0 but never reach it.

Remember a constant can be represent by

a \times  {x}^{0}

For example,

1 = 1 \times  {x}^{0}

2 =  2 \times {x}^{0}

And so on,

and

x =  {x}^{1}

So our equation is basically

\frac{1 \times  {x}^{0} }{ {x}^{1} }

Look at the degrees, since the numerator has a smaller degree than the denominator, the denominator will grow larger than the numerator as x gets larger, so since the larger number is the denominator, our y values will approach 0.

So anytime, the degree of the numerator < denominator, the horizontal asymptote is x=0.

Consider the function

\frac{3 {x}^{2} }{ {x}^{2}  + 1}

As x get larger, the only thing that will matter will be the leading coefficient of the leading degree term. So as x approach infinity and negative infinity, the horizontal asymptote will the numerator of the leading coefficient/ the leading coefficient of the denominator

So in this case,

x =  \frac{3}{1}

Finally, if the numerator has a greater degree than denominator, the value of horizontal asymptote will be larger and larger such there would be no horizontal asymptote instead of a oblique asymptote.

8 0
2 years ago
If n represents a number, then write an expression for three times the difference of the number and six increased by four times
Elenna [48]

3(n-6)+4n

8 0
3 years ago
Read 2 more answers
I need some help with my math test today!
vladimir1956 [14]

Answer:

1.end point continues in one direction

2. point were two line segemnt, lines, rays meet

3. measures 90 degrees

4. greater than 90 degrees

5. measures 180 degrees

6. position in space

7. flat surface

Step-by-step explanation:

5 0
2 years ago
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Name Perfect squares
Aleks04 [339]

<em>Answer:</em>

<em>The perfect squares are the squares of the whole numbers: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100 and so on.......</em>

Step-by-step explanation:

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3 years ago
What is the domain of this function
Talja [164]

Answer:

I think its A

Step-by-step explanation:

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