Consider the exponential functions f, g, and h, defined as shown. (in the image) Determine which function or functions have each key feature.

OPTIONS

Only h(x)
f(x) and h(x)
f(x) and g(x)
g(x) and h(x)
only g(x)
all three functions
Only f(x)

BLANKS FOR OPTIONS

Increasing on all intervals of x __1__

x-intercept at (1,0) __2__

y-intercept at (0,4) __3__

approaches an integer as x approaches - infinity__4__

(not all the options will be used just four of them!)