The transformations we will study fall into three

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Unformatted text preview: integers. (b) Is f even, odd, or neither? Explain. (c) Discuss with your classmates which points on the graph are local minimums, local maximums or both. Is f ever increasing? Decreasing? Constant? 7. Use your graphing calculator to show that the following functions do not have any extrema, neither local nor absolute. (a) f (x) = x3 + x − 12 (b) f (x) = −5x + 2 8. In Exercise 11 in Section 1.5, we saw that the population of Sasquatch in Portage County 150t could be modeled by the function P (t) = , where t = 0 represents the year 1803. Use t + 15 your graphing calculator to analyze the general function behavior of P . Will there ever be a time when 200 Sasquatch roam Portage County? 9. One of the most important aspects of the Cartesian Coordinate Plane is its ability to put Algebra into geometric terms and Geometry into algebraic terms. We’ve spent most of this chapter looking at this very phenomenon and now you should spend some time with your classmates reviewing what we’ve done. What major results do we have that tie Algebra and Geometry together? What concep...
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