Use the maximum/minimum finder on a graphing calculator to determine the approximate location of all local extrema.f(x) = 0.01x5 - x4 + x3 + 8x2 - 7x - 66
A. Approximate local maxima at -1.861 and 2.247; approximate local minimum at 0.423
B. Approximate local maxima at -1.83 and 2.327; approximate local minima at 0.413 and 79.161
C. Approximate local maxima at -1.861 and 2.247; approximate local minima at 0.423 and 79.192
D. Approximate local maxima at -1.947 and 2.296; approximate local minima at 0.358 and 79.241
Answer: C
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Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.logb (yz3)
A. logb y + logb3z B. 3 logb yz C. 3 logb y + 3 logb z D. logb y + 3 logb z
Graph the function and give its domain and its range.f(x) =
A. [0, ?); [3, ?)
B. [3, ?); [0, ?)
C. [0, ?); [-3, ?)
D. [-3, ?); [0, ?)
Perform the indicated operation. Simplify if possible. -
A. -
B.
C.
D. -
Find the absolute maximum and absolute minimum values of the function, if they exist, over the indicated interval, and indicate the x-values at which they occur.f(x) = 9 + 2x - x2; [0, 3]
A. Absolute maximum = 10 at x = 1; absolute minimum = 9 at x = 0 B. Absolute maximum = 8 at x = 2; absolute minimum = 6 at x = 0 C. Absolute maximum = 10 at x = 1; absolute minimum = 6 at x = 3 D. Absolute maximum = 11 at x = 1; absolute minimum = 6 at x = 3