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drek231 [11]
3 years ago
12

The graph of the cube root of x is shifted one unit down and seven units to the left. What is the equation of the resulting grap

h? Explain.
Mathematics
1 answer:
Gnesinka [82]3 years ago
3 0
Is there a picture??
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Show all work to identify the asymptotes and end behavior of the function f(x)= 5x/x-25.
jeyben [28]

Considering the given function and the asymptote concept, we have that:

  • The vertical asymptote is of x = 25.
  • The horizontal asymptote is of y = 5.
  • The end behavior is that as x \rightarrow \infty, f(x) \rightarrow 5.

<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. Hence it also gives the end behavior of the function.

In this problem, the function is:

f(x) = \frac{5x}{x - 25}.

The vertical asymptote is found as follows:

x - 25 = 0 -> x = 25.

The horizontal asymptote is found as follows:

y = \lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} \frac{5x}{x - 25} = \lim_{x \rightarrow \infty} \frac{5x}{x} = \lim_{x \rightarrow \infty} 5 = 5.

Hence the end behavior is that as x \rightarrow \infty, f(x) \rightarrow 5.

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

#SPJ1

3 0
2 years ago
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