How do you graph of y=5(2)^x and state the domain and range?

Nov 29, 2016

Domain: x -n (-oo, oo)

Range: y in (0, oo). Graph is inserted

Explanation:

As the exponential function ${2}^{x} > 0 , y > 0$

log y = log 5 + x log 2.

y-intercept = 5.

Limits:

As $x \to - \infty , y \to 0$.

As $x \to \infty , y \to \infty$.

x-axis, in the negative direction, is the asymptote.

graph{log y -log 5 -x log 2=0 [-20, 20, -10, 10]}