How to graph exponential function y=6^x-4

That is an exponential function. It grows all over the range, from - ∞ to + ∞.

The limit when f(x) goes of - ∞ is zero, so y = 0 there is the asymptote to the left side.

The value of f(x) for x = 4 is 1: f(4) = 6 ^ (4 - x) = 6 ^ (4 - 4) = 6^0 = 1. So, the y intercept is y = 0.

The function grows as x goes to infinity.

You can finds some other values of the function to help to sketch the graph.

x             f(x) = 6 ^ (x - 4)

-100      6^ ( -104) = 1.18 * 10^ (-81)

- 10       6^ (-14) = 1.28 - 10^ -11

3           6^ (-1) = 1/6 = 0.17

4           6^0 = 1

14         6^ (10) = 60,466,176