Suggested languages for you:

Americas

Europe

Q. 51

Expert-verifiedFound in: Page 249

Book edition
1st

Author(s)
Peter Kohn, Laura Taalman

Pages
1155 pages

ISBN
9781429241861

For each graph of f in Exercises 49–52, explain why f satisfies the hypotheses of the Mean Value Theorem on the given interval [a, b] and approximate any values c ∈ (a, b) that satisfy the conclusion of the Mean Value Theorem.

The graph satisfies the mean value theorem and c=-2.8, -0.9

$f(-3)=0\phantom{\rule{0ex}{0ex}}f\left(0\right)=4$

Using MVT,

$f\text{'}\left(c\right)=\frac{f\left(b\right)-f\left(a\right)}{b-a}$

role="math" localid="1648554025520" $f\text{'}\left(c\right)=\frac{f\left(0\right)-f(-3)}{3}$

$f\text{'}\left(c\right)=\frac{4}{3}$

94% of StudySmarter users get better grades.

Sign up for free