Chapter 5.5, Problem 29E

Estimate ƒ(−1.02, −0.97) given that ƒ(−1, −1) = 3, ƒx(−1, −1) = −2 and fŋ(−1, −1) = −1. f(-1.02, -0.97) ≈

A polling firm determines that the percent of likely voters who support a certain mayoral candidate can be represented by a function P(t) where t is measured in weeks since the candidate entered the race. Interpret the given equations, including units. (a) P(8)=38 (b) P'(8)=6 (a) Choose the correct answer below. ○ A. The percentage of likely voters to support the candidate 8 weeks after entering the race is 38%. ○ B. The percentage of likely voters to support the candidate 38 days after entering the race is 8%. ○ C. The percentage of likely voters to not support the candidate 38 days after entering the race is 8%. ○ D. The percentage of likely voters to not support the candidate 8 weeks after entering the race is 38%.

Let g be the following function that gives the values of y in terms of the values of x.\\\\ g(x) = 12 – 5*. (a) Use proper function notation to write the formula that gives the average rate of change of y (w.r.t. x) as x goes from x = -1 to x = 1. (b) Calculate (an intermediate step) and simplify the output g(1); (c) Calculate (an intermediate step) and simplify the output g(-1); (d) Compute the value of average rate of change (described in part a) . Previous Page Next Page Page 15 of 17