Functions questions | form five Pure Advanced Mathematics

Draw the graph of in the interval [-5,6]. Hence tell how behaves for positively and negatively large values of x.

Answer / Solution

UNSOLVED

Find given that and , hence

1. Determine the vertical and horizontal asymptotes of .
2. Draw the graph of .
3. State the domain and range of .

Answer / Solution

UNSOLVED

Given that and ,

1. find the domain and range of f(x) and g(x).
2. draw the graphs of f(x) and g(x) on the same axes. Comment on the resulting graphs.

Answer / Solution

UNSOLVED

Given that ,

1. write the values of x for which f(x)=0 and the values of x for which f(x)>0.
2. show that as .
3. sketch the grap of f(x), showing particularly where the curve crosses the x-axis and how it approaches its asymptotes.

Answer / Solution

UNSOLVED

1. If and , find .
2. Draw the graph of obtained in part (a) above.

Answer / Solution

UNSOLVED