For Exercises 45-52, determine if the graph can represent a polynomial function. If so. Assume that the end behaviour and all turning points are represented in the graph. a. Determine the minimum degree of the polynomial. b. Determine whether the leading coefficient is positive or negative based on the end behaviour and whether the degree of the polynomial is odd or even. c. Approximate the real zeros of the function, and determine if their multiplicities are even or odd.
For Exercises 45-52, determine if the graph can represent a polynomial function. If so. Assume that the end behaviour and all turning points are represented in the graph. a. Determine the minimum degree of the polynomial. b. Determine whether the leading coefficient is positive or negative based on the end behaviour and whether the degree of the polynomial is odd or even. c. Approximate the real zeros of the function, and determine if their multiplicities are even or odd.
Solution Summary: The author explains that the graph represents a polynomial function and determines whether the leading coefficient is positive or negative based on the end behaviour.
For Exercises 45-52, determine if the graph can represent a polynomial function. If so. Assume that the end behaviour and all turning points are represented in the graph.
a. Determine the minimum degree of the polynomial.
b. Determine whether the leading coefficient is positive or negative based on the end behaviour and whether the degree of the polynomial is odd or even.
c. Approximate the real zeros of the function, and determine if their multiplicities are even or odd.
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3. We'd like to know the first time when the population reaches 7000 people. First, graph the
function from part (a) on your calculator or Desmos. In the same window, graph the line y =
7000. Notice that you will need to adjust your window so that you can see values as big as
7000! Investigate the intersection of the two graphs. (This video shows you how to find the
intersection on your calculator, or in Desmos just hover the cursor over the point.) At what
value t> 0 does the line intersect with your exponential function? Round your answer to two
decimal places. (You don't need to show work for this part.) (2 points)
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