Provide an appropriate response.Graph y = - tan x and its derivative together on 
. Is the slope of the graph of 
ever positive? Explain.
What will be an ideal response?
No, the slope of the graph of 
is never positive. The slope at any point is equal to the derivative, which is 
. Since sec2 x is never negative, 
is never positive, and the slope of the graph is never positive.
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Find the limit.
A. does not exist B. 36 C. ±6 D. 6
Determine i) the domain of the function, ii) the range of the function, iii) the domain of the inverse, and iv) the range of the inverse.f(x) = 
A. f(x): D is all real numbers, R = 
;
f-1(x): D = 
, R is all real numbers
B. f(x): D = 
, R = 
;
f-1(x): D = 
, R = 
C. f(x): D = {x|x ? 2}, R = {y ? 0};
f-1(x): D = {x|x ? 0}, R = {y|y ? 2}
D. f(x): D is all real numbers, R is all real numbers;
f-1(x): D is all real numbers, R is all real numbers
Solve the problem.The owner of a video store has determined that the cost C, in dollars, of operating the store is approximately given by 
where x is the number of videos rented daily. Find the lowest cost to the nearest dollar.
A. $588 B. $791 C. $669 D. $710
Find the missing length to the nearest tenth.
A. b = 3.3 m B. b = 429 m C. b = 28.7 m D. b = 20.7 m