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vovangra [49]
3 years ago
10

Slope 4.2;y-intercept(0,3.4)

Mathematics
1 answer:
Harrizon [31]3 years ago
8 0
Y=mx+b
m=slope
b=yintercept

given
slope=4.2
yintercept is 3.4

y=4.2x+3.4
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Show all work to identify the asymptotes and state the end behavior of the function f(x)=3x/x-9
lorasvet [3.4K]

Using the asymptote concept, we have that:

  • The vertical asymptote is x = 9.
  • The horizontal asymptote is y = 3.
  • The end behavior is that as x \rightarrow \infty, y \rightarrow 3.

<h3>What are the asymptotes of a function f(x)?</h3>

  • The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
  • The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

In this problem, the function is:

f(x) = \frac{3x}{x - 9}

For the vertical asymptote, we have that:

x - 9 = 0 -> x = 9.

For the horizontal asymptote:

y = \lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} \frac{3x}{x - 9} = \lim_{x \rightarrow \infty} \frac{3x}{x} = \lim_{x \rightarrow \infty} 3 = 3

Hence, the end behavior is that as x \rightarrow \infty, y \rightarrow 3.

More can be learned about asymptotes at brainly.com/question/16948935

#SPJ1

8 0
2 years ago
List the first 5 terms of the sequence -3n -2.<br>​
katrin2010 [14]

Answer:

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Step-by-step explanation:

-3n -2

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n=3   -3(3) -2 = -9-2 = -11

n=4   -3(4) -2 = -12-2 = -14

n=5   -3(5) -2 = -15-2 = -17

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