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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Calculus can be used to find the slope of the line tangent to a curve. The slope of the tangent to the curve 
at 
is f'(a). Use f'(x) to find the slope of the tangent to 
at the given value of x.f'(x) = -x4 + 3x3 + 5x2 - 8x + 13 at x = 2
A. 25 B. 31 C. 57 D. -1
Solve.
= 
- 1
A. 
B. 
C. - 
D. 
Use the equality test for fractions to determine if the fractions are equal.
A. Yes B. No
Write the inequality obtained by performing the indicated operation on the given inequality.Multiply each side of the inequality 3 + 2x ? 5 by -2.
A. -6 - 4x ? -10 B. -6 + 2x ? -10 C. -6 + 2x ? -10 D. -6 - 4x ? -10