Question
Show that the function $f(x)=(x-a)^{n}, a$ a constant, has exactly one inflection point if $n \geq 3$ is an odd integer.
Step 1
We need to show that the function \( f(x) = (x-a)^n \), where \( a \) is a constant and \( n \geq 3 \) is an odd integer, has exactly one inflection point. Show more…
Show all steps
Your feedback will help us improve your experience
Hoan Nguyen and 53 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.
Recommended Videos
Applications of the Derivative
Local Extrema and Concavity
Show that the function $f(x)=(x-a)^{n}, a$ a constant, has no inflection point if $n \geq 2$ is an even integer.
Indeterminate Forms and L'Hopital's Rule
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD