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1. (10 pts) Draw two graphs. One that is A) a one-to-one function and B) a funct

ID: 3186245 • Letter: 1

Question

1. (10 pts) Draw two graphs. One that is A) a one-to-one function and B) a function but not one- to-one. 2. (6 pts) Based on data about the growth of invasive mimosa trees, the following logarithmic model b(?) about these trees was determined where t = age of tree in years and b (n = height of tree, in feet. (Note: "In" refers to the natural log function). Using the model, answer the following IC 4.108 In()+17.099, (a) At age 5 years, how tall is this type of mimosa, to the nearest tenth of a foot? (b) At age 17 years, how tall is this type of mimosa, to the nearest tenth of a foot?

Explanation / Answer

2.(a) At the age 5 years, t = 5, so, the height of the mimosa, b(t) = {4.108 ln(5) + 17.099} feet

= (4.108×1.609 + 17.099) feet

= 23.7 feet

(b) At the age 17 years, t = 17, so, height of mimosa,

b(t) = {4.108 × ln(17) + 17.099} feet

= (4.108 × 2.8332 + 17.099) feet

= 28.7 feet