State whether the function is a polynomial, a rational function (but not a polynomial), or neither a polynomial nor a rational function. If the function is a polynomial, give the degree. $$f(x)=\sqrt{x}(\sqrt{x}+1)$$.
Added by Charles J.
Step 1
A polynomial is a function of the form: $$P(x) = a_nx^n + a_{n-1}x^{n-1} + \cdots + a_1x + a_0$$ where $a_n, a_{n-1}, \ldots, a_1, a_0$ are constants and $n$ is a non-negative integer. Show more…
Show all steps
Close
Your feedback will help us improve your experience
Melissa Munoz and 54 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Precalculus Preview
The Elementary Functions
State whether the function is a polynomial, a rational function (but not a polynomial), or neither a polynomial nor a rational function. If the function is a polynomial, give the degree. $$f(x)=\frac{\sqrt{x^{2}+1}}{x^{2}-1}$$.
State whether the function is a polynomial, a rational function (but not a polynomial), or neither a polynomial nor a rational function. If the function is a polynomial, give the degree. $$f(x)=1+\frac{1}{2} x$$.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Watch the video solution with this free unlock.
EMAIL
PASSWORD