Question: 1). Let f(x) = x 39 + 20x - 6 Which of the following statement is true? a. there is a c in the interval

1). Let f(x) = x39 + 20x - 6

Which of the following statement is true?

a. there is a c in the interval [-15,40] such that f(c)=0

b. f(0) = 0

c. f(x) > 0 for all x in [-15,40]

d. f(x)<0 for all x in [-15,40]

e. all of the above

f. none of the above

2). Consider the equation x21 + 32x - 1 = 0

Which of the following statement is true?

a. the equation has a real root in the interval [-31,26]

b. the equation has a real root in the interval [-73,42]

c. the equation has a real root in the interval [-2,188]

d. the equation has a real root in the interval [-66,88]

e. all of the above

f. none of the above

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