Question

@chmvijay Can you show me how to solve these problems??
2. Calculate the average rate of change for the function f(x) = x4 + 3x3 − 5x2 + 2x − 2, from x = −1 to x = 1.

A. −1

B. 1

C. −5

D. 5

4. Given the function f(x) = 8x3 − 3x2 − 5x + 8, what part of the function indicates that the left and right ends point in opposite directions?

A. The degree of the first term

B. The degree of the last term

C. The coefficient of the first term

D. The coefficient of the last term

Answer 1

@evlknvl35 Can you help me with these??

Answer 2

First of all, Jon, would you please find and post here the formula for "average rate of change"?

Answer 3

Take the derivative of that function and evaluate its behavior at the 2 endpoints given on that interval
and thx for mentioning me

Answer 4

average rate of change formula -->
\[A(x)= \frac{ f(x)-f(a) }{ x-a }\]

Answer 5

Jon, that's perfect, except that I'd suggest you use "b" instead of "x".
In the problem we're working on, a and b are both constants: a=-1 and b=1.
Evaluate the given function f(x) twice: once for x=a=-1 and once for x=b=1.

Answer 6

so, would this be right

Answer 7

The right side looks good. On the left side I'd prefer you use A to signify average rate of change. Your function is f(x) = x4 + 3x3 − 5x2 + 2x − 2. Please evaluate f(1) and f(-2).
Then substitute the results into the right side of your equation.

Answer 8

I am not good at maths :(