Ask a New Question

Question

Consider the function f(x)=3x^2 – 5x on the interval [-4,4]. Find the average slope of the function on this interval.
By the mean value theorem, we know there exists at least one c in the open interval (-4,4) such that f’(c) is equal to this mean slope. For this problem, there are 2 values of c that work. The smaller one and the larger one are?
13 years ago

Answers

Reiny
f(-4) = 68
f(4) = 28

average slope = (28-68)/(4+4) = -5

f'(x) = 6x-5
f'(c) = 6c - 5 = -5
c = 0

I only get one value.
13 years ago

Related Questions

function and function notation using the variable x and explain how we evaluate a function for a giv... A polynomial function function is defined by the equation p(x)=3x3+ax2+bx+7, where a, bE/. If p(-2)=... Function A: Function B: Function C: y=x+5y=x+5 (4 points) Which function has a negative rate of chan... Graph the function function. (1 point) function and spiritual function of ekombi dance Function A is a linear function that can be modeled by the equation 4x - 3y = 12. Function B is a l... A linear function is a function defined by the equation of a​ line, such as ​f(x)equals3xminus4. It... A parent function is a function that has been turned, moved, and/or expanded. True] False Function A Function B Function CThree functions are shown. Function A Positive slope (0,2) , (... A linear function is a function where the graph of the function is a straight line. It can be repres...
Ask a New Question
Archives Contact Us Privacy Policy Terms of Use