How to graph exponential functions?

**maiden129** · December 10th 2012, 02:22 PM

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.

**skeeter** · December 10th 2012, 02:38 PM

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

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

... connect with a smooth curve

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

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

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