Seçmeli Ara Sınav - Mathematics 1

Soru 1:

What is the solution of log 3 27?

A) 2 B) 3 C) 4 D) 5 E) 6

Soru 2:

For the functions f : R› R , f (x) = x 2 -5 and g : R› R , g(x) = x 3 – 2, what is the value of the composition (g °f)(-1)=?

A) -22 B) -44 C) -66 D) -88 E) -111

Soru 3:

Which of the following quadratic functions has y-intercept -1 ?

A) x2- x B) x2+ x – 1 C) -x2– 2 x D) x2+ 2 x – 2 E) 3 x2– x – 3

Soru 4:

Which of the following could be the function of the graph below:

A) f(x)=-3x2+12 B) f(x)=3x2+12 C) f(x)=3x2+12-20 D) f(x)=-3x2 E) f(x)=3x2

Soru 5:

I. 4x-5 II. x^2+5 III. 5 Which of the above is a polynomial function?

A) I and II B) Only III C) I, II ve III D) II ve III E) Only I

Soru 6:

Let f : R › R, f (x) = 5x 2 +10x + 7 given. What is the value of f (-1)?

A) 1 B) 2 C) 3 D) 4 E) 5

Soru 7:

f : R › R, f(x) = 2 + 3 x 3 ; g : R › R , g(x) = -x + 1. (f ° g)(-1) = ?

A) 2 B) 26 C) -1 D) -3 E) 10

Soru 8:

Which of the following linear functions has slope -2 ?

A) -x + 2 B) -2 C) 2 x – 4 D) 4 – 2 x E) -2 + x

Soru 9:

Which of the following are true for the function l og a x when a>1? I. Domain of the logarithmic function l og a x is (0, ?) II. Range of the logarithmic function l og a x is (- ? , ?) II. log a x is a decreasing function

A) Only I B) Only II C) Only III D) I and III E) I and II

Soru 10:

Which of the following is a solution set of 7x-21=0?

A) {3} B) {0, 3} C) {0, -3} D) {-3} E) {1}

Soru 11:

Given the sets A={a, 1, d, -3}, B={e, -3, 0} and C={a, d, e, 0}. Find (AUC)\B.

A) {d, 1} B) {a, d, e, 1} C) {a, d, 1} D) {a, d, 1, -3} E) {a, d, 1, e}

Soru 12:

Which of the following is a solution set of 3x+10=1?

A) {-3} B) {0, -3} C) {3} D) {-10/3} E) {0, -10/3}

Soru 13:

A = [0, 2], B = [1, 3). Find A \ B.

A) [0, 3) B) [1, 2] C) [0, 1) D) (0, 3) E) (1, 2)

Soru 14:

A) a - 3b B) 2a + b C) 3a - b D) a + b E) 2a + 3b

Soru 15:

In normal conditions, a bacteria increases at a rate of proportionally. If there is 30 bacterias exist initially and 180 bacterias in one hour, find the number of bacterias in four hour?

A) 18.810 B) 21.180 C) 28.320 D) 34.200 E) 38.880

Soru 16:

f : R › R, f(x) = -x + 3, if x ? 4 ; f(x) = -1, if x > 4. 3 f(-2) + 4 f(16) = ?

A) 11 B) 35 C) 5 D) -1 E) -6

Soru 17:

Which of the following properties are true for the exponential functions? I.a x+y =a x a y II. a x-y =a x /a y III. (a x ) y =a x+y IV.(ba) y =b y a y

A) I, II and III B) I, II and IV C) II, III and IV D) I, III and IV E) I and IV

Soru 18:

A correspondence assigning each element of the set A , one and only one element of the set B is called a function from the set A into the set B . In this context, the set A is called the domain or the departure set of the function. In this context, the set B is called the range or terminal set. For a given function f and an element a from its domain A , the element corresponding to a under the rule f is called the image of the element a , and is denoted by f (a). A function defined from the set A to the set B is denoted by or Let A and B be two sets different from the empty set. Which of the statements above regarding to functions are correct?

A) I and II B) I, III and IV C) II, IV and V D) I, III, IV and V E) I, II, III, IV and V

Soru 19:

What is the solution set of the inequality 5x-35<0?

A) (7, ∞) B) (-∞, 7) C) (-∞, -7) D) (-7, ∞) E) (0, 7)