Evaluate the function for the given values of a and b. Then use the intermediate value theorem to determine which of the statements below is true.a = -2 and b = -1f(x) = 9x3 - 8x + 3

A. f(-2) and f(-1) have the same sign, therefore f does not have a real zero between -2 and -1.
B. f(-2) and f(-1) have the same sign, therefore the intermediate value theorem cannot be used to determine whether f has a real zero between -2 and -1.
C. f(-2) and f(-1) have opposite signs, therefore f does not have a real zero between -2 and -1.
D. f(-2) and f(-1) have opposite signs, therefore f has a real zero between -2 and -1.


Answer: D

Mathematics

You might also like to view...

Use a finite approximation to estimate the area under the graph of the given function on the stated interval as instructed.f(x) = x2 between x = 0 and x = 3 using a left sum with two rectangles of equal width.

A. 16.875 B. 3.375 C. 12.5 D. 8.4375

Mathematics

Fill in the missing value.0.92 m =    dm

A. 92 B. 0.009 C. 9.2 D. 0.092

Mathematics

Find the greatest common factor, GCF, of the expressions.x6, x2

A. x8 B. x2 C. x12 D. x4

Mathematics

Find the sum of the infinite geometric series, if possible. If it is not possible, explain why. If necessary, round to three decimal places.21 + 7 +  + . . .

A. 5.25
B. 15.75
C. The sum does not exist because  ? 1.
D. 31.5

Mathematics