Sketch the graph of the function. Indicate where it is increasing and where it is decreasing. Indicate where any relative extrema occur, where asymptotes occur, where the graph is concave up and where is it concave down, where any points of inflection occur, and where any intercepts occur. f(x) = 

What will be an ideal response?





Decreasing on (-?, 8) and (8, ?)
No relative extrema
Asymptotes: x = 8 and y = 0
Concave down on (-?, 8); concave up on (8, ?)
No points of inflection
y-intercept: , no x-intercepts

Mathematics

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Evaluate the double integral over the given region. R: 0 ? x ? , 0 ? y ? ?

A. ?
B.
C.
D.

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Determine whether the sequence is arithmetic or geometric. Then find the next two terms.15,19, 23, 27, . . .

A. Arithmetic; 31, 35 B. Geometric; 27, 31 C. Geometric; 31, 35 D. Arithmetic; 27, 31

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Find functions f and g so that f ? g = H.H(x) = 

A.

f(x) = 5; g(x) = 

B.
f(x) = g(x) = 5x + 1

C.
f(x) = g(x) = 5

D.
f(x) = g(x) = 5x + 1 

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Find the average rate of change for the function over the given interval.y = 5x + 7 between x = -1 and x = 0

A.
B. 5
C. - 
D. -28

Mathematics