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) = (x + 1)(x - 2)2
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, 4), x-intercepts: (2, 0) and (-1, 0)
(c) The graph of f crosses the x-axis at (-1, 0) and touches the x-axis at (2, 0).
(e) Local minimum at (2, 0); Local maximum at (0.00, 4.00)
(f) 
(g) Domain of f: all real numbers; range of f: all real numbers
(h) f is increasing on (-?, 0.00) and (2, ?); f is decreasing on (4.00, 2)
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in front and with a range of motion of 
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A. 21,771.02 ft2 B. 21,770.92 ft2 C. 10,885.46 ft2 D. 10,885.36 ft2
Use the graph of f to sketch a graph of the inverse of f using a dashed curve.
A. 
B. 
C. 
D. 