7. If a continuous, differentiable function f has zeroes atx = -4, x = 1, and x = 2, what can you say about f'on [-4, 2]?

Mean value theorem relates average rate of change of a function over an interval to its…

Answered: 7. If a continuous, differentiable…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...

See similar textbooks

Similar questions

If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local extremum offon (a,c) ?
the value of x at which the FOC is satisfied give us the ........(maximum/minimum) of the function because the second derivative is ..........(positive/negative).
Give an example of a differentiable function ƒ whose first derivative is zero at some point c even though ƒ has neither a local maximum nor a local minimum at c.
Is this calculus statement true or false: "We can determine that h(x) =x^4 has a minimum at x= 0 using the second derivative test."
The tangent line to y=f(x) at (−8,−5) passes through the point (−3,10). Compute the following f(-8) f'(-8)
Suppose that f is a twice differentiable function (the function has a second derivative everywhere). True or False: If f''(a) = 0 then there is always a point of inflection at x = a
What is the numerical approximation of the derivative of the function f(x) = x^3 - 2x + 1 at x = 2 using the forward difference formula with a step size of h = 0.1?
Find the positive minimum point of the function f(x) = x^-2 * tan(x) by computing the zeros of f' ( derivative of f) using Secant's method
Find a function that is differentiable at every point of an interval [a,b] but that the third derivative does not exist at any point
Shows that if a function f(x) is continuous in interval [a,b] then most likely the derivative of f(x) is also continuous at interval [a,b]
I'm supposed to find all constants c that make f continuous at x=4. I've gotten this far, and I'm not sure what to do from here.

Recommended textbooks for you

College Algebra

Algebra

ISBN:

9781938168383

Author:

Jay Abramson

Publisher:

OpenStax

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781337278461

Author:

Ron Larson

Publisher:

Cengage Learning

College Algebra

Algebra

ISBN:

9781938168383

Author:

Jay Abramson

Publisher:

OpenStax

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781337278461

Author:

Ron Larson

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

7. If a continuous, differentiable function f has zeroes at x = -4, x = 1, and x = 2, what can you say about f' on [-4, 2]?