Mathematics 1 Ara 3. Deneme Sınavı
Toplam 19 Soru1.Soru
What is the solution of log327?
2 |
3 |
4 |
5 |
6 |
log327=3
The correct answer is B.
2.Soru
For the functions f : R› R , f (x) = x2 -5 and g : R› R , g(x) = x3 – 2, what is the value of the composition (g °f)(-1)=?
-22 |
-44 |
-66 |
-88 |
-111 |
(g °f)(-1) = g ( f(-1) ) = g (-4) = -66
3.Soru
Which of the following quadratic functions has y-intercept -1 ?
x2 - x |
x2 + x – 1 |
-x2 – 2 x |
x2 + 2 x – 2 |
3 x2 – x – 3 |
y = x2 + x – 1 ; y(0) = 0 + 0 – 1 = -1 . pg. 60. Correct answer is B.
4.Soru
Which of the following could be the function of the graph below:
f(x)=-3x2+12 |
f(x)=3x2+12 |
f(x)=3x2+12-20 |
f(x)=-3x2 |
f(x)=3x2 |
The graph tells us that the function must have 1 root, which is equal to zero, and should always take negative values. Only the function in D satisfies these two conditions
5.Soru
I. 4x-5
II. x^2+5
III. 5
Which of the above is a polynomial function?
I and II |
Only III |
I, II ve III |
II ve III |
Only I |
All of them is polynomial function. Because they are suitable for polynomial definition (look page 51). Therefore, the answer is C.
6.Soru
Let f : R › R, f (x) = 5x2 +10x + 7 given. What is the value of f (-1)?
1 |
2 |
3 |
4 |
5 |
Substituting x for -1, we find 5.(-12) + 10.(-1) + 7 = 5 . 1 + (-10) + 7 = 5 -10 + 7 = 2.
7.Soru
f : R › R, f(x) = 2 + 3 x3 ; g : R › R , g(x) = -x + 1. (f ° g)(-1) = ?
2 |
26 |
-1 |
-3 |
10 |
y = 2 + 3 (-x +1)3 = 2 + 3 (1 + 1)3 = 26 . Correct answer is B.
8.Soru
Which of the following linear functions has slope -2 ?
-x + 2 |
-2 |
2 x – 4 |
4 – 2 x |
-2 + x |
4 – 2 x ; the slope of a linear function of the form m x + n is m. pg. 57. Correct answer is D.
9.Soru
Which of the following are true for the function logax when a>1?
I. Domain of the logarithmic function logax is (0, ?)
II. Range of the logarithmic function logax is (-?, ?)
II. logax is a decreasing function
Only I |
Only II |
Only III |
I and III |
I and II |
logax is an increasing function if a>1. So III is false.
10.Soru
Which of the following is a solution set of 7x-21=0?
{3} |
{0, 3} |
{0, -3} |
{-3} |
{1} |
7x-21=0, 7x=21, x=3. The answer is A.
11.Soru
Given the sets A={a, 1, d, -3}, B={e, -3, 0} and C={a, d, e, 0}. Find (AUC)\B.
{d, 1} |
{a, d, e, 1} |
{a, d, 1} |
{a, d, 1, -3} |
{a, d, 1, e} |
A={a, 1, d, -3}, B={e, -3, 0} and C={a, d, e, 0}.(AUC)={a, d, e, 0, 1, -3}. The set of elements AUC which are not in B is {a, d, 1}. Therefore (AUC)\B={a, d, 1}. The answer is C.
12.Soru
Which of the following is a solution set of 3x+10=1?
{-3} |
{0, -3} |
{3} |
{-10/3} |
{0, -10/3} |
3x+10=1
3x=1-10
3x=-9
x=-3
Therefore, the answer is A.
13.Soru
A = [0, 2], B = [1, 3). Find A \ B.
A = [0, 2], B = [1, 3). Find A \ B.
[0, 3) |
[1, 2] |
[0, 1) |
(0, 3) |
(1, 2) |
Correct answer is C.
14.Soru
a - 3b |
2a + b |
3a - b |
a + b |
2a + 3b |
15.Soru
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?
18.810 |
21.180 |
28.320 |
34.200 |
38.880 |
The proportion is 180/30 = 6
Then the increase 30 . 6 . 6 . 6 . 6 = 38.880
16.Soru
f : R › R, f(x) = -x + 3, if x ? 4 ; f(x) = -1, if x > 4. 3 f(-2) + 4 f(16) = ?
11 |
35 |
5 |
-1 |
-6 |
y = 3 (-(-2) + 3) + 4 (-1) = 15 – 4 = 11. Correct answer is A.
17.Soru
Which of the following properties are true for the exponential functions?
I.ax+y=axay
II. ax-y=ax/ay
III. (ax)y=ax+y
IV.(ba)y=byay
I, II and III |
I, II and IV |
II, III and IV |
I, III and IV |
I and IV |
(ax)y=axy , so other than III all the properties hold for exponential functions.
18.Soru
- 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?
I and II |
I, III and IV |
II, IV and V |
I, III, IV and V |
I, II, III, IV and V |
Let A and B be two sets different from the empty set. 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. Functions are generally denoted by the lower case letters such as f, g, h. In this case a function defined from the set A to the set B is denoted by
f: or .
In this context, the set A is called the domain or the departure set of the function, and 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).
As also understood from the information given, all of the statements regarding to functions in the options are correct, so the correct answer is E.
19.Soru
What is the solution set of the inequality 5x-35<0?
(7, ∞) |
(-∞, 7) |
(-∞, -7) |
(-7, ∞) |
(0, 7) |
5x-35<0
5x<35
x<7. Therefore, the solution set if (-∞, 7). The answer is B.
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