Graph the function and analyze it for domain, range, continuity, increasing or decreasing behavior, asymptotes, and end behavior.f(x) = log1/2(x - 1)

What will be an ideal response?




The domain is (1, ?), and the range is all real numbers. The function is continuous and decreasing on its domain. The vertical asymptote is x = 1. The end behavior is described by f(x) = - ?.

Mathematics

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Solve the problem.In a certain memory experiment, subject A is able to memorize words at a rate given by In the same memory experiment, subject B is able to memorize at the rate given by  How many more words does subject B memorize from t = 0 to t = 18 (during the first 18 minutes)?

A. -17 B. 59 C. -6 D. 53

Mathematics

Find the general solution of the equation. Express the solution explicitly as a function of the independent variable.e9ty'(t) = -2

A. = e9t + C
B. = 18e9t + C
C. = e-9t + C
D. = e-8t + C

Mathematics

Find the indicated composition.f(x) = 4x2 + 2x + 4; g(x) = 2x - 3Find (g ? f)(x).

A. (g ? f)(x) = 4x2 + 2x + 1 B. (g ? f)(x) = 8x2 + 4x + 5 C. (g ? f)(x) = 4x2 + 4x + 5 D. (g ? f)(x) = 8x2 + 4x + 11

Mathematics

Graph the system of inequalities.2x + 3y ? 6x - y ? 3

A.

B.

C.

D.

Mathematics