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Calc Review 12/7

Authored by CHARLETTE GOODWILER

Mathematics

12th Grade

Used 1+ times

Calc Review 12/7
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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Does  f\left(x\right)=2+x-x^2  holds with IVT given  [0,3]; w=1\left[0,3\right];\ w=1  ?

IVT holds

IVT does not hold

no sufficient information

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Let f be a continuous function for which f(-2)=1 and f(5)=-3. The Intermediate Value Theorem guarantees that

f(c)=2 for at least one c between -3 and 1

f(c)=0 for at least one c between -2 and 5

f(c)=0 for at least one c between -3 and 1

f(c)=2 for at least one c between -2 and 5

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Given the function  f(x)=x3+x3f\left(x\right)=x^3+x-3  which of the intervals below contains a zero?

[-1,1]

[0,1]

[1,2]

None of these intervals

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Let f be a function that is continuous on the interval [1, 10]. If f(2) = -5 , f(5) = 5 and f(9) = -5, which must be true?


I. f(x) has a least 2 zeros

II. For some c, 2 < c < 9, f(c) = 3

III. The graph of f(x) has a horizontal tangent

I only

I and II

I, II, and III

II and III

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

Find the value that makes the function continuous

c=1/3
c=3
c=-3
c=-1/3

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