Use the properties of limits to help decide whether the limit exists. If the limit exists, find its value.
A. 7
B. 14
C. Does not exist
D. 1
Answer: B
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Solve the problem.The number of family practice physicians in a certain country can be approximated by the equation 
where x is the number of years since 2010 and y is the number of physicians in thousands. Write the equation in slope-intercept form and identify the slope and y-intercept. Then, explain the meaning of the slope in this specific equation.
A. y = 
x + 510, m = 
, y-intercept is (0, 510); The slope is the amount of decrease in thousands in the number of family practice physicians in this country per year.
B. y = 
x + 51, m = 
, y-intercept is (0, 51); The slope is the amount of increase in thousands in the number of family practice physicians in this country per year.
C. y = 
x + 510, m = 
, y-intercept is (0, 510); The slope is the amount of increase in thousands in the number of family practice physicians in this country per year.
D. y = 
x + 51, m = 
, y-intercept is (0, 51); The slope is the amount of decrease in thousands in the number of family practice physicians in this country per year.
Divide and simplify.
÷ 
A. 
B. (z - 3)(z - 5)
C. 
D. 
Solve.The population of a particular city is increasing at a rate proportional to its size. It follows the function P(t) = 1 + ke0.05t where k is a constant and t is the time in years. If the current population is 16,000, in how many years is the population expected to be 40,000? (Round to the nearest year.)
A. 107 yr B. 18 yr C. 8 yr D. 10 yr
Find the linear factorization of the polynomial and find all roots of the polynomial. f(x) = x2 + 49
A. f(x) = (x + 7i)(x - 7i), roots: ± 7i B. f(x) = (x + 7i)2, roots: ± 7i C. f(x) = (x + 7)2, roots: ± 7 D. f(x) = (x + 49i)(x - 49i), roots: ± 49i