Graph the function and analyze it for domain, range, continuity, increasing or decreasing behavior, symmetry, boundedness, extrema, asymptotes, and end behavior.f(x) = ln(x + 3)
What will be an ideal response?
The domain is (-3, ?), and the range is all real numbers. The function is continuous and increasing on its domain. There is no symmetry. It is not bounded above or below. There are no local extrema. The vertical asymptote is x = -3. The end behavior is described by f(x) = ?.
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bacteria culture is experiencing a growth pattern of 15% per hour in its population P; that is dP / dt = 0.15P, where P is the population of the culture and t is the time, in hours, from noon.
(a) Given that the town’s population at noon was 8000, find the solution of the equation assuming P0 = 8000 and k = 0.15 . 32. (b) What will the population be at 5 pm?
Define variables and write the sentence in function notation.
The circumference of a circle is a function of the diameter. Circumference is times diameter.
Use Euler's method to approximate the indicated function value to three decimal places using - y = 3ex; y(0) = 80; find y(0.4)
A. 119.140 B. 119.718 C. 120.018 D. 118.736
Estimate an answer to the problem.An advertisement states that television sets are on sale at B&G Electronics. The sale prices are: set, $147.99;
set, $208.95;
set, $231.99; 27-inch set, $289.97;
set, $519.97. Estimate the approximate number of
-4.0px;" /> sets that can be bought for $40, 619.
A. 80
B. 140
C. 1400
D. 120