Question

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

Answer 1

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`.