Answer the problem.Use the following function and a graphing calculator to answer the questions.f(x) = x4 - 5x2 + 4x + 2, [-0.5, 1.8]a). Plot the function over the interval to see its general behavior there. Sketch the graph below.
b). Find the interior points where f' = 0 (you may need to use the numerical equation solver to approximate a solution). You may wish to plot f' as well. List the points as ordered pairs (x, y).c). Find the interior points where f' does not exist. List the points as ordered pairs (x, y).d). Evaluate the function at the endpoints and list these points as ordered pairs (x, y).e). Find the function's absolute extreme values on
the interval and identify where they occur.
What will be an ideal response?
a).
Solid line: f(x); dashed line: f'(x)
b). See figure above. f'(x) = 0 at x = 0.4323 and x = 1.3200.
Critical points of f(x) are 
and 
.
c). f'(x) is defined on the entire interval.
d). Endpoints are (-0.5, -1.1875) and (1.8, 3.4976).
e). Absolute minimum: (-0.5, -1.1875); absolute maximum (1.8, 3.4976).
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Solve the absolute value inequality.|2x - 3| ? 2
A. 
< x < 
B. 
? x ? 
C. x ? 
or x ? 
D. x ? 
Solve the problem.A research team collected data concerning a local welfare-to-work program. They found that the more frequently a participant attended weekly group support meetings, the longer he or she would keep the same job. The data are summarized in the graph below. Call the function f.
Does f have an inverse? Why or why not?
A. No, because it fails the vertical line test. B. Yes, because it passes the vertical line test. C. No, because it fails the horizontal line test. D. Yes, because it passes the horizontal line test.
Decide whether the statement is true or false.{9, 18, 27, 36} ? {9, 27} = {9, 18, 27, 36}
A. True B. False
Find the expected value.Mr. Cameron is sponsoring an summer concert. He estimates that he will make $300,000 if it does not rain and make $60,000 if it does rain. The weather bureau predicts the chance of rain is 0.34 for the day of the concert. An insurance company is willing to insure the concert for $150,000 against rain for a premium of $30,000. If he buys this policy, what are his expected earnings from the concert?
A. $180,000 B. $300,000 C. $270,000 D. $239,400