Use the below graph of f(x) defined on the interval (0,12] to answer 4 through #9. 4- 11 4) Over which of the following x-intervals is f(x) increasing? A) (0,3) B) (3,6) C) (0,6) D) (6,12) E) (9,12) 5) A local maximum occurs when . A) x= 1 B) x= 3 C) x = 6 D) x= 9 E) x = 11 6) Over which of the following x-intervals is f(x) decreasing? A) (0,3) B) (3,6) C) (0,6) D) (0,9) E) (6,12)
Use the below graph of f(x) defined on the interval (0,12] to answer 4 through #9. 4- 11 4) Over which of the following x-intervals is f(x) increasing? A) (0,3) B) (3,6) C) (0,6) D) (6,12) E) (9,12) 5) A local maximum occurs when . A) x= 1 B) x= 3 C) x = 6 D) x= 9 E) x = 11 6) Over which of the following x-intervals is f(x) decreasing? A) (0,3) B) (3,6) C) (0,6) D) (0,9) E) (6,12)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.5: Properties Of Logarithms
Problem 70E
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![Test 3 Math 150 SP22.pdf
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Use the below graph of f(x) defined on the interval [0,12] to answer #4 through #9.
6
9
10
11
12
4) Over which of the following x-intervals is f(x) increasing?
A) (0,3)
B) (3,6)
C) (0,6)
D) (6,12)
E) (9,12)
5) A local maximum occurs when ...
A) x = 1
B) x = 3
C) x = 6
D) x = 9
E) x = 11
6) Over which of the following x-intervals is f(x) decreasing?
A) (0,3)
B) (3,6)
C) (0,6)
D) (0,9)
E) (6,12)
7) A local minimum occurs when ..
A) x = 1
B) x = 3
C) x = 6
D) x = 9
E) x = 11
8) State the signs of f' and f" on the interval (0,3).
A) f'(x) > 0,
f"(x) > 0
B) f'(x) < 0,
f"(x) > 0
C) f'(x) > 0,
f"(x) < 0
D) f'(x)< 0,
f"(x) < 0
9) State the signs of f' and f" on the interval (9,12).
A) f'(x) > 0,
f"(x) > 0
B) f'(x)< 0,
C) f'(x) > 0,
f"(x) > 0
f"(x)< 0
D) f'(x) < 0,
f"(x)< 0
...
II](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdf378644-d5f9-4692-8e77-a1c39c7cae71%2Fc23d4c4d-0b45-45ce-9c60-635ece16a764%2Ft1a077p_processed.png&w=3840&q=75)
Transcribed Image Text:Test 3 Math 150 SP22.pdf
3 / 7
68%
+
Use the below graph of f(x) defined on the interval [0,12] to answer #4 through #9.
6
9
10
11
12
4) Over which of the following x-intervals is f(x) increasing?
A) (0,3)
B) (3,6)
C) (0,6)
D) (6,12)
E) (9,12)
5) A local maximum occurs when ...
A) x = 1
B) x = 3
C) x = 6
D) x = 9
E) x = 11
6) Over which of the following x-intervals is f(x) decreasing?
A) (0,3)
B) (3,6)
C) (0,6)
D) (0,9)
E) (6,12)
7) A local minimum occurs when ..
A) x = 1
B) x = 3
C) x = 6
D) x = 9
E) x = 11
8) State the signs of f' and f" on the interval (0,3).
A) f'(x) > 0,
f"(x) > 0
B) f'(x) < 0,
f"(x) > 0
C) f'(x) > 0,
f"(x) < 0
D) f'(x)< 0,
f"(x) < 0
9) State the signs of f' and f" on the interval (9,12).
A) f'(x) > 0,
f"(x) > 0
B) f'(x)< 0,
C) f'(x) > 0,
f"(x) > 0
f"(x)< 0
D) f'(x) < 0,
f"(x)< 0
...
II
![Test 3 Math 150 SP22.pdf
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10) Find the absolute minimum of f (x) = x² + 6x over the interval [-4, –1).
A) y = -10
B) y = -9
C) y = -8
D) y = -6
E) y = -5
11) Find the absolute maximum of f(x) = x² + 6x over the interval [-4, –1].
A) y = -10
B) y = -9
C) y = -8
D) y = -6
E) y = -5
12) Does Rolle's Theorem apply to f (x) = x² + x – 4 over [-3,2]? If so, find the value guaranteed by the theorem
A) Yes, the theorem applies and the guaranteed value is c = -
-1/2.
B) Yes, the theorem applies and the guaranteed value is c = 1.
C) Yes, the theorem applies and the guaranteed value is c = 2:
D) Yes, the theorem applies and the guaranteed value is c = 2.
E) No, the theorem does not apply.
13) Does the Mean Value Theorem apply to f(x) = x² over [1,5]? If so, find the value guaranteed by the theorem.
A) Yes, the theorem applies and the guaranteed value is c = 3.
B) Yes, the theorem applies and the guaranteed value is c = 4.
C) Yes, the theorem applies and the guaranteed value is c= 5.
D) Yes, the theorem applies and the guaranteed value is c = 6.
E) No, the theorem does not apply.
14) An object is launched upwards at a velocity of 40 feet per second from a height of 120 feet. The position
function for this object is s(t) = -32t2 + 40t + 120, where t is in seconds. Find the velocity after 2 seconds.
D) 28
ft
B) – 24
c) 24
A) -:
E) None of these
15) Which of the following are critical numbers of f(x) = 2x3 – 3x? – 12x + 5?
A) x = -1,-2
В) х %3D1,-2
С) х %3D —1,2
D) x = 1,2
E) x = 1,2,0
...
II](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdf378644-d5f9-4692-8e77-a1c39c7cae71%2Fc23d4c4d-0b45-45ce-9c60-635ece16a764%2Fh8etmd4_processed.png&w=3840&q=75)
Transcribed Image Text:Test 3 Math 150 SP22.pdf
4 / 7
68%
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10) Find the absolute minimum of f (x) = x² + 6x over the interval [-4, –1).
A) y = -10
B) y = -9
C) y = -8
D) y = -6
E) y = -5
11) Find the absolute maximum of f(x) = x² + 6x over the interval [-4, –1].
A) y = -10
B) y = -9
C) y = -8
D) y = -6
E) y = -5
12) Does Rolle's Theorem apply to f (x) = x² + x – 4 over [-3,2]? If so, find the value guaranteed by the theorem
A) Yes, the theorem applies and the guaranteed value is c = -
-1/2.
B) Yes, the theorem applies and the guaranteed value is c = 1.
C) Yes, the theorem applies and the guaranteed value is c = 2:
D) Yes, the theorem applies and the guaranteed value is c = 2.
E) No, the theorem does not apply.
13) Does the Mean Value Theorem apply to f(x) = x² over [1,5]? If so, find the value guaranteed by the theorem.
A) Yes, the theorem applies and the guaranteed value is c = 3.
B) Yes, the theorem applies and the guaranteed value is c = 4.
C) Yes, the theorem applies and the guaranteed value is c= 5.
D) Yes, the theorem applies and the guaranteed value is c = 6.
E) No, the theorem does not apply.
14) An object is launched upwards at a velocity of 40 feet per second from a height of 120 feet. The position
function for this object is s(t) = -32t2 + 40t + 120, where t is in seconds. Find the velocity after 2 seconds.
D) 28
ft
B) – 24
c) 24
A) -:
E) None of these
15) Which of the following are critical numbers of f(x) = 2x3 – 3x? – 12x + 5?
A) x = -1,-2
В) х %3D1,-2
С) х %3D —1,2
D) x = 1,2
E) x = 1,2,0
...
II
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