Sketching graphs of logs and exponentials

Question 1

Sketching exponentials when a>1

y=a^x

Answer 1

Upward curve _| increasing gradient

Points (0,1) and (1,a)

Question 2

Sketching exponentials when a<1

Answer 2

Downward curve |_ decreasing gradient

Points (0,1) and (1,a)

Question 3

Sketching logs when a,x>0

y=logax

Answer 3

Upward decreasing gradient |~

Points (1,0) and (a,1)