Let   P(x)=x(x+1)(x−4) You will find slopes of secant lines to the graph of y=P(x) around the x-value x = -1. Please graph this function now on your graphing device.  Let's find the ARC of y  with respect to x    using the "nested" intervals below (an interval inside of another interval).  We will surround the value x = -1   with smaller and smaller x-intervals and look at the average rate of change on each one.  Round answers to two decimals. a)   Find the ARC for the interval  −2≤x≤0−2≤x≤0 b)  Find the ARC for the interval −1.5≤x≤−0.5−1.5≤x≤−0.5 c)  Find the ARC for the interval  −1.1≤x≤−0.9

Let   P(x)=x(x+1)(x−4)

You will find slopes of secant lines to the graph of y=P(x) around the x-value x = -1.

Please graph this function now on your graphing device.  Let's find the ARC of y  with respect to x    using the "nested" intervals below (an interval inside of another interval).  We will surround the value x = -1   with smaller and smaller x-intervals and look at the average rate of change on each one.  Round answers to two decimals.

a)   Find the ARC for the interval  −2≤x≤0−2≤x≤0

b)  Find the ARC for the interval −1.5≤x≤−0.5−1.5≤x≤−0.5

c)  Find the ARC for the interval  −1.1≤x≤−0.9