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) = x2(x2 - 4)(x + 4)
What will be an ideal response?
(a) For large values of |x|, the graph of f(x) will resemble the graph of y = x5.
(b) y-intercept: (0, 0), x-intercepts: (-4, 0) , (-2, 0), (0, 0), and (2, 0)
(c) The graph of f crosses the x-axis at (-4, 0), (-2, 0), and (2, 0) and touches the x-axis at (0, 0).
(e) Local maxima at (-3.35, 52.69) and (0,0); Local minima at (-1.31, -10.54) and (1.46, -21.75)
(f) 
(g) Domain of f: all real numbers; range of f: all real numbers
(h) f is increasing on (-?, -3.35), (-1.31, 0), and (1.46, ?); f is decreasing on (-3.35, -1.31) and 
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Multiply.37(-5.83)
A. 42.93 B. -215.71 C. 31.17 D. 42.83
Use point-slope form to write the equation of the line with the properties:
?
, passing through P(3, 1).
?
Enter your answer as an equation in general form.
What will be an ideal response?
Solve the problem.A rug is to fit in a room so that a border of even width is left on all four sides. If the room is 18 feet by 24 feet and the area of the rug is 160 square feet, how wide will the border be?
A. 4 ft B. 6.5 ft C. 6 ft D. 5 ft
Solve the radical equation. Check all proposed solutions.
+ 8 = x + 4
A. x = 2, 8
B. x = -4, 
C. x = 8
D. x = -4