Question

f(x) is a linear function which is increasing for XER.

a) Will the reciprocal function be increasing or decreasing?

b)Will there ever be any horizontal asymptotes for the function? If so, where?

c)Will there ever be any horizontal asmptotes for the reciprocal function? If so, where?

d)Will there ever be any vertical asmptotes for the function? If so, where?

e)Will there ever be any vertical asmptotes for the reciprocal function? If so, where?

Answer 1

I suggest you take an increasing linear function such as
f(x) = 2x+1 and form its reciprocal , g(x) = 1/(2x+1)
Investigate by graphing each one using graph paper.

Answer 2

Thanks, it doesn't matter what equation I use, correct?

Answer 3

not really, as long as you have a linear equation of the form
y = mx + b, with m a positive number (positive slope)
Use relatively small numbers so you don't run off your graph too fast.