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Identify the horizontal and vertical asymptotes, if any, for the graph of f(x) shown. Check all that apply.

y = 0
y = 1
x = 1
x = –1
no vertical asymptotes
no horizontal asymptotes

Identify the horizontal and vertical asymptotes, if any, for the graph of f(x) shown. Check all that apply. y = 0 y = 1 x = 1 x = –1 no vertical asymptotes no h class=

Answer :

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Answer:

y = 0 , x = 1

Step-by-step explanation:

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Answer:

Step-by-step explanation:

The graph has both a vertical and horizontal asymptote to which the value

of the function approaches as the y-values and x-values approaches

infinity respectively.

  • The horizontal asymptote is; y = 0
  • The vertical asymptote is the line x = 1

Reasons:

The horizontal asymptote is the horizontal line that the function's graph

tends towards as the value of the input variable approaches infinity.

The horizontal line that the graph of the function approaches is y = 0

Therefore;

  • The horizontal asymptote is; y = 0

Similarly, the vertical asymptote is the vertical line that the graph of the

function approaches but never meets.

Therefore;

The graph of the function on the bottom left approaches the line x = 1 from

the left, while the graph of the function with the domain 0 < x < ∞,

approaches the line x = 1 from the right.

Therefore;

  • The vertical asymptote is the line x = 1

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