Chapter 9.3, Problem 32E

The function f(x)=(1/(x+1))+4 is decreasing on what interval(s)?

f(x) = x+ 4/x

A bacteria colony initially has 4000 cells and triples every week. A function that can be used to model the population, p, of the colony after t days is O A) p(t) = 4000(2) B) p(t) = 4000(3) p(t) = 4000(2)7 D) P(t) = 4000(3)7

Consider f(x) =

Consider the function f(x)=x2+6(5x−10)(x+4)f(x)=x2+6(5x-10)(x+4). For each prompt below, if no solution exists - enter "DNE". If there is more than one solution, enter your answer as a comma-separated list (like "1, 3"). You may find it helpful to rewrite the numerator or denominator in a different form to help you complete some of the parts. Determine the vertical intercept of ff. f(0)=f(0)=    Determine the zeros (or "roots") of ff. x=x=    Determine the vertical asymptote(s) of ff. x=x=    Determine the horizontal asymptote of ff. y=y=

Does the function f(x) = 2e¯X represent exponential growth, decay, or neither? A) Exponential growth B) Exponential decay C) Neither D) Impossible to determine with the information given.

Let f(x) = 4x + 1 f-¹(x) =

If f(x) = ax , show that f( - x) = 1 / f(x) .

3. Consider the function +R where f(x)= log,(2-52). (a) Find the rule for f- (b) State the range of f-