Intro to De^v Questions

Question 5: Derivatives and Antiderivatives, the Graphical Expression

This is a Non-Calculator Question!

Part 1:

This question consists of two parts, one part is a first and second derivative graphing question. The second part of the question is a matching game, where their are 4 antiderivative or derivative functions which through the process of their graph shapes you must pinpoint that graph in the five graphs that are given, one graph remains with no pair in the end.

Part 2:
Consists of 4 functions and 5 graphs, in which contestants must match all of the corresponding functions with their respective graphs. Leaving one graph unpaired.

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Question 4: Exponential Rates and Normalville

Presently in the town of Normalville, there is a deepening concern. The town is at a brink of having to redevelop a new part of town. For every four new citizens that the Normalville population increases, the town miust build a new house. The town has not built any homes in the last five years as they do not know how many citizens have moved into Normalville. This data table gives the population of Normalville over the last five years period.

a) How many new homes must the town of Normalville build. Round to the nearest whole house.

b) Find an exponential function, that models the population data.

c) Normalville was able to recieve government funding to build more houses for the population increase in the next four years in Normalville. Find the amount of houses need based on data given. To the nearest whole house.

d) If the house cost is $ 23052.00 to build a house how much money does Normalville need to build those houses they need.

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