How do you find the intercepts, asymptotes and graph #y = 6(4^(2x))#?

1 Answer
Mar 21, 2016

y-intercept is 6. x-axis is the asymptote and the the curve rises, from the limit 0 for #xto-oo# to #+oo# as x#to +oo#..

Explanation:

The exponential curve y = a #b^x# curve, with a > 0, does not cross the x-axis and y > 0 for all x, a and b..The x-axis is the asymptote, in the positive or negative direction.

Here, #y = 6((4^2)^x)=6(16^x)#.
a = 6 and b = 16.
The asymptote gets closer to x-axis, as #xto -oo#.