Unit 5 Review

Unit 5 Review

11th Grade

15 Qs

quiz-placeholder

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Unit 5 Review

Unit 5 Review

Assessment

Quiz

Mathematics

11th Grade

Hard

Created by

Briana Hudson

Used 2+ times

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

When  f(x)f'\left(x\right)  changes from negative to positive, there is...

a maximum.

a minimum.

no extrema.

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

  If  (a,b)\left(a,b\right) is a local minimum, then what will be true about  f(a)f'\left(a\right)  ? 

It's positive

It's negative

It's zero

Cannot be determined

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The graph of f(x)=2x3+x2+20x+1f\left(x\right)=2x^3+x^2+20x+1   has a relative minimum at

 x=2x=-2  

 x=53x=\frac{5}{3}  

 x=2x=2  

 x=1x=1  

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find all the critical numbers for the function:

 g(x)=x2x+1g\left(x\right)=x\sqrt{2x+1}  

 13, 12-\frac{1}{3},\ -\frac{1}{2}  

 0, 13, 120,\ \frac{1}{3},\ \frac{1}{2}  

 13, 12\frac{1}{3},\ -\frac{1}{2}  

 13, 12\frac{1}{3},\ \frac{1}{2}  

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Consider the function f(x)=x3+3x245x+5f\left(x\right)=x^3+3x^2-45x+5  , then 

 ff  is decreasing on  (5,3)\left(-5,3\right)  and increasing on  (,5)(3,)\left(-\infty,-5\right)\cup\left(3,\infty\right)  

 ff  has a relative minimum at  x=3x=3  

 ff  has a relative maximum at  x=5x=-5  

All of the above 

None of the above 

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the positive value x=cx=c 

, that satisfies the conclusion the Mean Value Theorem for Derivatives given  f(x)=3x25x+4f\left(x\right)=3x^2-5x+4  on the interval   [2,5]\left[2,5\right]   

 116\frac{11}{6}  

 136\frac{13}{6}  

 72\frac{7}{2}  

 236\frac{23}{6}  

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find all the open intervals where f(x)=x2x2+4f\left(x\right)=\frac{x^2}{x^2+4} is decreasing. 


 (,0)\left(-\infty,0\right)  

 (,)\left(-\infty,\infty\right)  

 (2,2)\left(-2,2\right)  

 (0,)\left(0,\infty\right)  

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