Graph the exponential function

Question

g(x)=2^x

^

Answer 1

y intercept = (0, 1)

horizontal asymptote is y=0 or the x axis

the graph is entirely in quadrants' I and II

nothing in quadrants III or IV

plot a few points then connect them with a smooth curve

such as

(1,2), (2,4), (3,8) in quadrant I,

(0,1) on the boundary between quadrant I and II

and

(-1, 1/2), (-2, 1/4), (-3, 1/8) in quadrant II

there are no local or global max or min points

it's concave up everywhere, slope always increasing and always positive