Scarica Esercizi matematica generale e più Prove d'esame in PDF di Matematica Generale solo su Docsity!
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Matematica Generale
Prova Scritta
Nome___________________________________ ID: 4
Find the inverse of each function.
- g ( x )^ = x + 1
A) g
− (^1) ( x )^ =
− 5 x + 20
B) g
( x ) (^) = − 3 x + 9
C) None of these
D) g
− (^1) ( x )^ =
7 x − 2
E) g
− (^1) ( x )^ = x − 1
Evaluate each limit.
2) lim
x → (^2) (
2 e
x − 2
e
x − 2
)
A) Does not exist. B) 10
C) None of these D) 3
E) 6
Write g ( x )^ (dashed line) in terms of f ( x )
(solid line).
x
y
A) None of these
B) g ( x )^ = −
⋅ f ( x ) C) g ( x )^ = 3 f (− x ) D) g ( x )^ = f (^) (−
x ) E) g ( x )^ = − f ( 3 x )
Solve each equation.
2 − 2 p
A)
− log 57
B)
− log 16 11 + 2
C)
log 2
D)
− log 16
E) None of these
Evaluate each determinant.
A) − 56 B) 56
C) None of these D) − 48
E) − 8
Solve each inequality.
x + 8
x + 7
A) (−∞, − 8 )∪(− 7 , 8 ] B) (− 8 , − 7 )∪( 8 , ∞) C) (−∞, − 8 )∪(− 7 , 8 )
D) None of these
E) (− 8 , − 7 )∪[ 8 , ∞)
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-2- Worksheet by Kuta Software LLC
Evaluate each limit.
7) lim
x → 3
x
A) −
B) −∞
C) ∞ D) − 6
E) None of these
Sketch the graph of each function.
- h ( x )^ =
2 , x < − 2
− x − 1 , − 2 ≤ x ≤ 4
x − 3
, x > 4
A)
x
y
B) None of these
C)
x
y
D)
x
y
E)
x
y
Evaluate each indefinite integral.
5 dx
A) 10 x + C B) 5 x + C
C) C D) 4 x + C
E) None of these
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Matematica Generale
Prova Scritta
Nome___________________________________ ID: 4
For each problem, find the x-coordinates of all points of inflection.
- g ( r )^ = −
r
A) Inflection point at: r = 5
B) Inflection point at: r = 4
C) None of these
D) Inflection point at: r = 2
E) Inflection point at: r = 3
Find the intervals on which each function is
continuous.
- f ( x )^ = (^) {
x^2 − 2 x + 1 , x ≠ 1
5 , x = 1
A) (−∞, 1 ), ( 1 , ∞)
B) (−∞, − 2 ), (− 2 , ∞)
C) (−∞, ∞)
D) None of these
E) (−∞, − 1 ), (− 1 , ∞)
For each problem, determine if Rolle's
Theorem can be applied. If it can, find all
values of c that satisfy the theorem. If it
cannot, explain why not.
- f ( t )^ =
− t
− 3 t + 10
t + 6
; [− 5 , 2 ]
A) {− 6 + 2 2 }
B) None of these
C) The function is not continuous on [− 5 , 2 ]
D) {− 6 + 14 } E) {− 6 + 10 }
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-2- Worksheet by Kuta Software LLC
Given the graph of f ( x ), sketch an approximate graph of f ' ( x ).
x
f(x)
A)
x
f '(x)
B)
x
f '(x)
C) None of these
D)
x
f '(x)
