Seçmeli Ara Sınav - Mathematics 1

Soru 1:

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:

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:

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:

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:

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:

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:

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:

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:

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:

Which of the following is the solution set of

A) {-2, 2} B) {2} C) {-2} D) {0, 2} E) {0, -2}

Soru 11:

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:

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:

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:

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:

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

A) 1/6 B) 1/2 C) 1 D) 2 E) 6

Soru 16:

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:

Which of the following is not represent an exponential function?

A) B) C) D)

Soru 18:

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:

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