Given f x = 3 x 4 + 7 x 3 − 12 x 2 − 14 x + 12 , a. How many zeros does f x have (including multiplicities)? b. List the possible rational zeros. c. Determine if the upper bound theorem identifies 2 as an upper bound for the real zeros of f x . d. Determine if the lower bound theorem identifies − 4 as a lower bound for the real zeros of f x . e. Revise the list of possible rational zeros based on the answer to parts (c)and (d). f. Find the rational zeros. g. Find all the zeros. h. Graph the function.
Given f x = 3 x 4 + 7 x 3 − 12 x 2 − 14 x + 12 , a. How many zeros does f x have (including multiplicities)? b. List the possible rational zeros. c. Determine if the upper bound theorem identifies 2 as an upper bound for the real zeros of f x . d. Determine if the lower bound theorem identifies − 4 as a lower bound for the real zeros of f x . e. Revise the list of possible rational zeros based on the answer to parts (c)and (d). f. Find the rational zeros. g. Find all the zeros. h. Graph the function.
Solution Summary: The author explains that the number of zeros in f(x) is equal to the degree of the given equation.
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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)
Elementary Statistics: Picturing the World (7th Edition)
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