Question

1.Give a linear function with its zero at x=a, what is the equation of the vertical asymptote of its reciprocal function?

2.Give a quadratic function with its zeros at x=a and x=b, what are the equations of the vertical asymptotes of its reciprocal function?

3.Once you know the asymptotes of the reciprocal of a quadratic function, how can you find its maximum or minimum?

Answer 1

1.
y = x - a
reciprocal
y = 1/(x-a)
vertical when x = a

2.
y = (x-a)(x-b)
reciprocal
y = 1/[(x-a)(x-b)]
x = a and x = b

3. vertex of parabola is halfway between zeros x =(a+b)/2

Answer 2

thanks