Using the intermediate value theorem, determine, if possible, whether the function $f$ has at least one real zero between $a$ and $b$. $$f(x)=x^{4}-3 x^{2}+x-1 ; a=-3, b=-2$$
Added by Miguel -Ngel A.
Step 1
$f(a)=(-3)^4-3(-3)^2+(-3)-1=81-27-3-1=50$ $f(b)=(-2)^4-3(-2)^2+(-2)-1=16-12-2-1=1$ Show more…
Show all steps
Close
Your feedback will help us improve your experience
Rebecca Belvin and 92 other Algebra 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
Polynomial Functions and Rational Functions
Graphing Polynomial Functions
Using the intermediate value theorem, determine, if possible, whether the function $f$ has a real zero between a and $b$. $$f(x)=x^{4}-3 x^{2}+x-1 ; a=-3, b=-2$$
Using the intermediate value theorem, determine, if possible, whether the function $f$ has a real zero between $a$ and $b$ $$f(x)=x^{4}-3 x^{2}+x-1 ; a=-3, b=-2$$
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Watch the video solution with this free unlock.
EMAIL
PASSWORD