How do you graph and determine if y=(4/3)^x is a growth or decay?

1 Answer
Aug 14, 2018

Growth

Explanation:

An exponential function has form
y = A r^x
where A is a scaling factor and r is the ratio. Here, A = 1 and r = 4/3. If r > 1, this is a growth (such as in this instance).

We can graph them by using the y-intercept and the value at x = 1, which are clearly A and Ar respectively. From there, we know what an exponential growth resembles: approaches zero as x rightarrow -infty and approaches infty as x rightarrow infty. This yields the following plot:

graph{(4/3)^x [-5, 6, -1, 5]}