## (10 pts) For every linear function f(x) = ax + b.

1) (10 pts) For every linear function f(x) = ax + b.

a) Is the function always “one-to-one” for all b’s if a > 0 ? (justify your answer)

b) Is the function always “one-to-one” for all a’s if b > 0 ? (justify your answer)

2) (10 pts) Show that the function f(x) = e^(-x) is “one-to-one”

3) (10 pts) Fill in the blanks. If the graph of f(x) goes through the point (3,4) and f^'(3) = -5, then the graph of f^(-1)(x) goes through the point (___ , ___) and (f^(-1))’ (___)= -1/5?