Find a simplified difference quotient for the function.f(x) = x3 + x
A. 2x3 + 3x2 + 3xh + h2 + 1
B. 2x3 + 3x2 + 3xh + h2
C. 3x2 + 3xh + h2 + h
D. 3x2 + 3xh + h2 + 1
Answer: D
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Provide an appropriate response.Which of the following statements defines f(x) = ??I. For every positive real number B there exists a corresponding ? > 0 such that f(x) > B whenever x0 - ? < x < x0 + ?.II. For every positive real number B there exists a corresponding ? > 0 such that f(x) > B whenever x0 < x < x0 + ?.III. For every positive real number B there exists a corresponding ? > 0 such that f(x) > B whenever x0 - ? < x < x0.
A. III B. I C. II D. None
Provide an appropriate response.Explain the difference between a bounded and an unbounded set. Give examples in symbolic, graphical, and interval notations.
What will be an ideal response?
Solve the equation.-9.2q + 1.6 = -27.6 - 1.9q
A. 3.4 B. -36 C. 4 D. 3.2
Factor. Check by multiplying.12x9 + 14x6 - 10x3
A. 2(6x9 + 7x6 - 5x3) B. 2x3(6x6 + 7x3 - 5) C. x3(12x6 + 14x3 - 10) D. No common factor