Provide the proper response.Show that a function of the formf(x) = ax4 + bx3 + cx2 + dx + e has no points of inflection whenever 8ac > 3b2.
What will be an ideal response?
Answers may vary, but should involve finding f'' and then setting f'' = 0. Attempting to solve the resulting equation by use of the quadratic formula will lead to the desired result.
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Use L'Hospital's rule to find the limit.
A. - 
B. - 
C. 0
D. ?
Sketch the graph of the quadratic function.f(x) = (x + 4)2 + 6
A. 
B. 
C. 
D. 
Solve the problem.A football team gained 40 yards on one play, lost 10 yards on another, and gained 30 yards on the last play of the first half. They had already gained 294 yards during the half. What was the total yardage gain for the first half?
A. 354 yd B. 374 yd C. 364 yd D. 234 yd
The Richter scale converts seismographic readings into numbers for measuring the magnitude of an earthquake according to this function M(x) = log 
, where xo = 10-3.Find the magnitude (to one decimal place) of an earthquake whose seismographic reading is 2000 millimeters at a distance of 100 kilometers from its epicenter.
What will be an ideal response?