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Worksheets

Min and Max

Total questions: 10

Worksheet time: 10mins

Name
Class
Date
1.

 For f(x)=x3+2x2+1 determine  f(x) and the critical valuesFor\ f\left(x\right)=x^3+2x^2+1\ \det er\min e\ \ f'\left(x\right)\ and\ the\ critical\ values  

(a)  

2.
What are the local maxima of this graph?
a)
local maximum at (2.2, 3.9)
b)
local maximum at (-8, 5)
c)
local maximum at (5, -8)⋃(3.9, 2.2)
d)
local maximum at (-8, 5)⋃(2.2, 3.9)
3.
When is the velocity decreasing?
a)
0 < t < 60
b)
40 < t < 60
c)
15 < t < 40
d)
−40 < t < 0
4.
When is the velocity decreasing?
a)
0 < t < 60
b)
40 < t < 60
c)
15 < t < 40
d)
−40 < t < 0
5.
What is the absolute max?
a)
(0, 36)
b)
(−2.55, −6.55), (2.55, −6.55)
c)
(−∞, ∞)
d)
None
6.

4 is a(n)...

a)

Absolute Maximum

b)

Absolute Minimum

c)

Local Maximum

d)

Local Minimum

7.
What is the absolute max?
a)
(0, 36)
b)
(−2.55, −6.55), (2.55, −6.55)
c)
(−∞, ∞)
d)
None
8.

When is this function increasing?

a)

(2.5,2.5)\left(-2.5,2.5\right)

b)

(0,5)\left(0,5\right)

c)

(0,55)\left(0,55\right)

d)

(5,0)\left(-5,0\right)

9.

The blue dot on this graph represents a(n)...

a)

Absolute Maximum

b)

Absolute Minimum

c)

Relative Maximum

d)

Relative Minimum

10.

f(x) = 2x3 - 3x2 + 4x -10

What is the degree of f(x)?

a)

3

b)

2

c)

1

d)

0