14.23. Draw rough sketches of the following mathematical functions on the same set of axes, for x...

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14.23. Draw rough sketches of the following mathematical functions on the same set of axes, for x between 0 and 35.

(a) ˆy = 6(1.02)x. (ˆy = predicted world population size in billions x years after 2000, if there is a 2% rate of growth every year.)

(b) ˆy = 6(0.95)x. What does this represent?

(c) Use these plots to explain the effect of whetherβ > 1 orβ < 1 in the model E(y) = αβx.

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