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) Find the x- and y-intercepts of the graph.(c) Determine whether the graph crosses or touches the x-axis at each x-intercept.(d) Graph f using a graphing utility.(e) Use the graph to determine the local maxima and local minima, if any exist. Round turning points to two decimal places.(f) Use the information obtained in (a) - (e) to draw a complete graph of f by hand. Label all intercepts and turning points.(g) Find the domain of f. Use the graph to find the range of f.(h) Use the graph to determine where f is increasing and where f is decreasing.f(x) =
src="https://sciemce.com/media/4/ppg__ttt0521190955__f1q163g1.jpg" style="vertical-align: -17.0px;" />x3 - x2 - 3x + 15
What will be an ideal response?
(a) For large values of |x|, the graph of f(x) will resemble the graph of y = x3.
(b) y-intercept: (0, 15), x-intercepts: (-3, 0), (3, 0), and (5, 0)
(c) The graph of f crosses the x-axis at each of the intercepts (-3, 0), (3, 0), and (5, 0).
(e) Local maximum at (-0.74, 16.17); Local minimum at (4.07, -2.35)
(f)
(g) Domain of f: all real numbers; range of f: all real numbers
(h) f is increasing on (-?, -0.74) and ; f is decreasing on (-0.74, 4.07)
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as the adjacent sides.
A.
B. 5
C. 2
D. 33
Simplify.
A.
B.
C.
D.
Solve the problem.The manager of a coffee shop has one type of coffee that sells for $5 per pound and another type that sells for $12 per pound. The manager wishes to mix 60 pounds of the $12 coffee to get a mixture that will sell for $10 per pound. How many pounds of the $5 coffee should be used?
A. 42 lb B. 24 lb C. 12 lb D. 84 lb
Factor the trinomial, or state that the trinomial is prime.5x2 - 39x + 28
A. (5x - 4)(x - 7) B. (5x - 4)(5x + 7) C. 5(x - 4)(x - 7) D. (5x + 7)(x - 4)