Question 2. (Similar to M413 #11 & Kahoot, Class 17) The following graph illustr

Question

Question 2. (Similar to M413 #11 & Kahoot, Class 17) The following graph illustrates the population of bunnies, f, in Bunnyville r years since 2000. Use the graph to answer these questions. You may leave fractions in your answer (as you would on the final) or use a calculator to get a decimal. (3,122/88) (i). What is the l-unit growth factor? (2,76.8) 40/(1,48) (ii). What is f(0)? Justify. f(x) 1 (iii). Find an equation for f(z). (iv). What is the 3-unit growth factor? (v). Illustrate f(x + 3) - f(x) ' on the graph for 1 = 0. What does this represent? (x + 3) - () (vi). Describe the meaning of f(x+17). (vii). What does f-(300) mean in this context?

Explanation / Answer

i) 1- unit growth factor

48/30 = 1.6.

ii) since the graph cut at y-axis at 30 for x= 0.

Therefore f(0)=30.

iii) Equation for f(x) = 30 (1.6)^x.

iv) 4- unit growth factor

(1.6)^3 = 4.096

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