Question: Consider the function f(x) - 1 - 3x on the interval [ - 4, 7]. Find the average or mean slope of the function on

Consider the function f(x) - 1 - 3x on the interval [ - 4, 7]. Find the average or mean slope of the function on this interval, i.e. f ( 7 ) - f ( - 4 ) 7 - (-4) By the Mean Value Theorem, we know there exists a c in the open interval ( - 4, 7) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it. Submit

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Consider the function f x 3x 6x on the interval 4 4 Find the average or mean slope of the function on this interval By the Mean Value Theorem we know there exists at least one c in the open interval...

Problem I. (1 point) Consider the function f {x} : 1 1:2 on the interval [3,4]. Find the average rate of change of the function on this interval. i.e. f{4}-f(-3) _ 4-(3) _ By the Mean Value Theorem,...

Consider the function f x 7 22 on the interval 2 6 Find the average rate of change of the function on this inter i e 6 f 2 6 2 By the Mean Value Theorem we know there exists a c in the open interval...

I have the answer, but how would I solve it step-by-step? Thank you. 43. Consider the function f (x) = -x3 - 4 on the interval [-7, 6]. Find the absolute extrema for the function on the given...

need help with these questions (1 point) Consider the function f (x) = 4x3 5x on the interval [3, 3]. (A) Find the average or mean slope of the function on this interval. Average Slope = 31 (B) By...

Consider the function f x on the interval 3 6 A Find the average or mean slope of the function on this interval Average Slope B By the Mean Value Theorem we know there exists a c in the open interval...

> Next question Get a similar question You can retry this question below Consider the function f(x) = 6, /x + 9 on the interval [4, 8]. Find the average or mean slope of the function on this...

Consider the function f x 2 8x on the interval 2 8 A Find the average or mean slope of the function on this interval i e 8 f 2 8 2 B By the Mean Value Theorem we know there exists a c in the open...

Consider the function f (at) = 10\\/5 + 4 on the interval [2, 5]. Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists a c in the open...

Consider the function f($) = 43/5 I 5 on the interval [2, 5]. Find the average or mean slope of the function on this interval. Round the answer to 4 decimal places. Cit Bv the Mean Value Theorem. we...

If y=(x) is a particular solution of y"+ sinx(y')+2y=e* and y=(x) is a particular solution of y"+ sinx(y') + 2y = cos 2x then a particular solution of y"+ sinx(y')+2y=e + 2 sinx is given by $(x) ...

One year ago, a manufacturer paid $3,000 for a stamping press that can produce only a particular plastic specialty product. The press now has a market value of $2,500 and is expected to continue to...

The following table gives the HDls for Australia, Ethiopia, Russia and Vietnam. Determine which country has which HDI. Explain the reasoning behind your answers. Country HDI Country HDI A 0.929 C...

Find the initial solution using the Northwest corner method Find the minimum total cost of the shipping plan using the stepping stone method From To D Supply 5 4 30 4 2 B 40 Demand 40 50

2. In this chapter, the reader should reflect on the following concepts:

1. To provide an understanding of how emotions are regulated by the development of relationships between actors in a communication situation.

Positive effect on trusting others, and also improvements in the final results.