# Thread: How to graph exponential functions?

1. ## How to graph exponential functions?

Graph the following exponential functions. Include tables of values.

a. f(x) = 5^x
b. f(x) = (1/4)^x

How to start solving? Thanks in advance.

2. ## Re: How to graph exponential functions?

for $\displaystyle y = 5^x$ , plot a few ordered pairs ...

$\displaystyle \left(-2, \frac{1}{25}\right) , \left(-1, \frac{1}{5}\right) , (0,1) , (1,5) , (2,25)$

... connect with a smooth curve

now do the same for $\displaystyle y = 4^{-x}$

fyi, you should make yourself familiar with the general shape of the exponential functions $\displaystyle y = a^x$ and $\displaystyle y = a^{-x}$ , for values of $\displaystyle a > 1$ and for $\displaystyle 0 < a < 1$