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Determine the domain and range of the original function Express your answer in interval notation.

Determine the domain and range of the original function Express your answer in interval-example-1

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Hello!

We have the following function:


p(x)=(x-3)^3

For the domain (x-axis), we have to check if there is any value that makes this function impossible to solve.

As it hasn't a fraction, it admits any value for x.

So, the domain is:


\left(-\infty \:,\:\infty \:\right)

Now let's talk about the range (y-axis):

As it has exponent 3, it admits all values (positive and negative), without restrictions.

So, the range is:


\left(-\infty \:,\:\infty \:\right)

Answer:

Domain:


\left(-\infty \:,\:\infty \:\right)

Range:


\left(-\infty \:,\:\infty \:\right)

User Sisir
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