Instructions: drag each value to the correct location on the table. each value can be used more than once, but not all values will be used. the function f(x) = x3 + 4x2 + 2x + 1 is graphed above. match the intervals in the table with their respective average rates of change for this function.

Your dragged values will be (from left to right) ...

... 1 ... -1 ... -3 ... -1 ... 1

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When there is tedious calculation involved, I prefer to let a graphing calculator or spreadsheet do the work. (See attached)

Just to show you what is involved, here's the first one.

... f(-3) = 4 . . . . . you are supposed to read this from your graph. IMO, your graph is a little off.

... f(-2) = 5

Then the average rate of change on the interval [-3, -2] is

... (change in f(x)) / (change in x)

... (f(-2) - f(-3)) / (-2 - (-3)) = (5-4)/(1) = 1.

a. turk and mcalister

b. howard, mission, and market

c. yes. since streets end some do not cross yet are not parallel to others. example: mcalister and 5th

step-by-step explanation:

parallel lines are lines which do not intersect ever and look a lot like railroad tracks. turk, mcalister and golden gate are examples of these.

intersect are streets which cross each other and a car on one can reach the other. howard, mission, and market intersect with 6th.

skew lines are lines which neither intersect nor are parallel. these lines exist here because some streets end and never intersect another like mcalister and 5th.