Answer the problem.Use the following function and a graphing calculator to answer the questions.f(x) = x4 - 5x2 + 5x + 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 = 0.5767 and x = 1.2118.
Critical points of f(x) are 
and 
.
c). f'(x) is defined on the entire interval.
d). Endpoints are (-0.5, -1.6875) and (1.8, 5.2976).
e). Absolute minimum: (-0.5, -1.6875); absolute maximum (1.8, 5.2976).
You might also like to view...
Find an exponential model for the following data set. Round your answer to two decimal places. t 0 1 2 3 y 3.02 5.13 8.72 14.82?
A. ?
B. ?
C. ?
D. ?
Solve and check. Begin by using the addition or multiplication principles of equality to isolate the squared term. -3x2 = -33
A. 16.5
B. ±11
C. ±
D. 12
Find the requested characteristic.Find the period for the graph of f(t) = sec 
.
A. 
B. 
C. 
D. 3?
Solve the problem.Ron and Kathy are ticket-sellers at their class play, Ron handling student tickets that sell for $3.00 each and Kathy selling adult tickets for $6.50 each. If their total income for 19 tickets was $102.50, how many did Ron sell?
A. 13 tickets B. 18 tickets C. 8 tickets D. 6 tickets