# What is the graph of #f(x)=x^-4#?

##### 1 Answer

Now, try substituting a some values

f(1) = 1

f(2) = 1/16

f(3) = 1/81

f(4) = 1/256

...

f(100) = 1/100000000

Notice that as

Now, try substituting values between 0 and 1

f(0.75) = 3.16...

f(0.5) = 16

f(0.4) = 39.0625

f(0.1) = 10000

f(0.01) = 100000000

Notice that as

For

Now try substituting negative values

f(-1) = 1

f(-2) = 1/16

f(-3) = 1/81

f(-4) = 1/256

f(-0.75) = 3.16...

f(-0.5) = 16

f(-0.4) = 39.0625

f(-0.1) = 10000

f(-0.01) = 100000000

Since the exponent of

Hence, for