which statement describes the graph of the function f(x)=x^2-1/x^2-2x+1

A. there is a hole at x=-1
B. there is a vertical asymptote at x=-1
C. the y-intercept is y=-1
D. there is a horizontal asymptote at y=-1

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

[tex]\rm f(x) = \dfrac{x^2-1}{x^2-2x+1}[/tex]

The above function is a rational function.

The denominator cannot be zero

x² - 2x + 1 ≠ 0

(x - 1)²≠ 1

x ≠ 1

To find y-intercept plug x = 0

f(0) = -1

Thus, statement (C) the y-intercept is y=-1 describes the graph of the function.

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which statement describes the graph of the function f(x)=x^2-1/x^2-2x+1 A. there is a hole at x=-1 B. there is a vertical asymptote at x=-1 C. the y-intercept is y=-1 D. there is a horizontal asymptote at y=-1

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What is a function?

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which statement describes the graph of the function f(x)=x^2-1/x^2-2x+1

A. there is a hole at x=-1
B. there is a vertical asymptote at x=-1
C. the y-intercept is y=-1
D. there is a horizontal asymptote at y=-1