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Mathematics 1

Soru

Dakika

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Her soruyu cevapladığınızda doğru/yanlış bilgisi gösterilir

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Tüm soruları cevapladıktan sonra sonuçlar gösterilir

Soru 1

Orta Zorluk

Given the functions f: R›R, f(x)=x-5 and g: R›R, g(x)=2x+9, calculate the value of (fog)(-1)?

A) -3

B) -1

C) 0

D) 1

E) 2

Soru 2

Orta Zorluk

Which of the following is not a point on the line y=2x-3?

A) (0, -3)

B) (1, -1)

C) (2, 1)

D) (3, 4)

E) (-1, -5)

Soru 3

Orta Zorluk

Let A = [0, 5], B = [1, 7), and C = (2, 8). Find C \ (A ? B).

A) (0, 7)

B) (0, 8)

C) (7,8)

D) [7, 8)

E) (0, 7]

Soru 4

Orta Zorluk

How many of the following arguments are true if x>0 and y>0. log a (xy)= log a x+log a y, log a (x/y)= log a x-log a y log a (1/y)= -log a y log a (x) y =y+log a x

A) 4

B) 3

C) 2

D) 1

E) 0

Soru 5

Orta Zorluk

The function f: R›R is given by, What is the value of 2f(6)-3f(3)+6f(-1)?

A) -5

B) -1

C) 0

D) 6

E) 12

Soru 6

Orta Zorluk

Suppose that we have 2000 TL to invest at an annual rate of interest of 10% for 4 years in an account that pays simple interest. What is the value of the investment (total amount) at the end of second year?

A) 2200

B) 2400

C) 2500

D) 2750

E) 3000

Soru 7

Orta Zorluk

Let A = (–∞, ∞), B = (–∞, 0] and C = (-2, 2). Find C \ (A ∪ B).

A) (0, 2)

B) [0, 2)

C) Ø

D) (0, 2]

E) (–∞, ∞)

Soru 8

Orta Zorluk

If the half-life of 100 grams of radioactive material is 2000 years, how much of the 100 grams will remain after 1000 years?

A) 50.15

B) 65.52

C) 68.78

D) 70.71

E) 75.75

Soru 9

Orta Zorluk

Which of the following quadratic function has its vertex at (-1, – 0)?

A) y=x2+2x +1

B) y=2x2+ 4x + 4

C) y=x2+2x - 1

D) x2+ 4x + 4

E) y=2x2+ 4x - 4

Soru 10

Orta Zorluk

Which of the following is the solution set of

A) {-2, 2}

B) {2}

C) {-2}

D) {0, 2}

E) {0, -2}

Soru 11

Orta Zorluk

Let the functions m: R›R, m(x)=(3/x)+7 and k: R›R, k(x)=3/(x-2), what is the value of m(k(1))?

A) 3

B) 6

C) 9

D) -3

E) -6

Soru 12

Orta Zorluk

What is the x in the following equation; log3(1/(x+1))=2 ?

A) -2/3

B) -8/9

C) 2/5

D) 3/8

E) 7/2

Soru 13

Orta Zorluk

For the functions f : R › R , f ( x ) = 5 x ³ and g : R › R , g ( x ) = x – 1, what is the value of the composition ( f ° g )(1)=?

A) 0

B) 5

C) 25

D) 125

E) 625

Soru 14

Orta Zorluk

How many different functions can be defined from a set of 8 elements to a set of 11 elements?

A) 3

B) 8

C) 11

D) 19

E) 88

Soru 15

Orta Zorluk

log 5 2 . log 4 3 . log 9 5=?

A) 1/6

B) 1/2

C) 1

D) 2

E) 6

Soru 16

Orta Zorluk

What is the solution of the equation ln(81x 4 )=20?

A) e3/3

B) e2/5

C) 0

D) 1

E) e5/3

Soru 17

Orta Zorluk

Which of the following is not represent an exponential function?

Soru 18

Orta Zorluk

What is the intersection of the intervals ( – ∞, 4] and (2, ∞)

A) Empty set

B) (2, 4]

C) (2, 4)

D) [2, 4)

E) (-∞, ∞)

Soru 19

Orta Zorluk

The functions f : R› R , f (x) = 2x + 9 and g : R› R , g (x) = 12 – 3x are given. What is the value of (4f - 3g)(2)?

A) 14

B) 24

C) 34

D) 44

E) 54

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