Question

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

Answer 1

Answer:

The Y-intercept is -1

Step-by-step explanation:

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Answer 2

The statement which describes the graph of function $f(x)=\frac{x^{2} -1}{x^{2} -2x+1}$ is that the $y$ - intercept is $y=-1.$

What is graph of function?

The graph of a function is the set of all points in the plane whose co-ordinates satisfy the function $y = f ( x )$ .

We know that for Quadratic equation $f(x)=ax^{2} +bx+c$, and $f(x)=0$

Using this,

$f(x)=0$

We get,

$f(x)=\frac{x^{2} -1}{x^{2} -2x+1}=0$

This gives

$\frac{x^{2} -1}{x^{2} -2x+1}=0$

$x^{2} -1=0$

$x^{2} =1$

$x=1,-1$

Hence, we can say that the $y$ - intercept is $y=-1.$

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