Analyze the graph of the given function f as follows:(a) Determine the end behavior: find the power function that the graph of f resembles for large values of |x|.(b) Graph f using a graphing utility.(c) Find the x- and y-intercepts of the graph.(d) Use the graph to determine the local maxima and local minima, if any exist. Round turning points to two decimal places.(e) Use the information obtained in (a) - (d) to draw a complete graph of f by hand. Label all intercepts and turning points.(f) Find the domain of f. Use the graph to find the range of f.(g) Use the graph to determine where f is increasing and where f is decreasing.f(x) = x3 + 1.65x2 - 4.56x + 2.08

What will be an ideal response?


(a) For large values of |x|, the graph of f(x) will resemble the graph of y = x3.
(c) y-intercept: (0, 2.08), x-intercepts: (-3.25, 0) and (0.8, 0) 
(d) Local maximum at (-1.90, 9.84); Local minimum at (0.8,0)
(e) 

(f) domain of f: all real numbers; range of f: all real numbers
(g) f is increasing on (-?, -1.90) and (0.8, ?); f is decreasing on (-1.90, 0.8)

Mathematics

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If $600 is invested at interest, compounded annually, then after n years the investment is worth dollars. Find the size of investment after 7 years.

What will be an ideal response?

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Divide.561 ÷ 47

A. 11 B. 11 R 44 C. 10 R 38 D. 9 R 7

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Write the expression as a logarithm of a single expression. Assume that variables represent positive numbers.3 loga (2x + 1) - 2 loga (2x - 1) + 2

A. loga (2x + 1) + 2
B. loga 
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D. loga (2x + 3)

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Factor completely. If the polynomial cannot be factored, write "prime."x2 + 4xy - 12y2

A. (x - 6y)(x + y) B. (x + 6y)(x - 2y) C. (x - 6y)(x + 2y) D. (x - y)(x + 2y)

Mathematics