Chapter 1: Functions and Limits
MCQ's with answers from chapter 1 Functions and Limits Mathematics book 2 for FSC pre engineering for Board of Intermediate and Secondary education. Also For Entry Test Preparation for UET, NUST, PIEAS, GIKI, AIR, FAST, WAH University, other engineering Universities.
1) The
domain of binary relation y2
= - 4x is,
A)
R
B)
Z
C)
R +
D)
Negative real numbers including zero.
Answer: D
2) If
S = {a, b, c} then the number of distinct relations on S is
A)
9
B)
29
C)
23
D)
92
Answer: B
3) The
domain of the binary relation 2x2 + 2y2 = 18 is
A)
R
B)
R+
C)
Z
D)
{- 3, 3}
Answer: D
4) The
range of the binary relation 4x2 + 9y2 = 36 is
A)
{- 2, 2}
B)
{– 3, 3}
C)
{- 2, 3}
D)
R
Answer: A
5) If
R1 = {(x, y) ½
x, y Î
R and x >y} is a binary relation then its inverse is
A)
{(1, 2), (2, 3)}
B)
{(2, 1), (3,
2), (4, 3)}
C)
{(x, y) ½ x = y}
D)
{(x, y) ½ x, y Î R and y > x}
Answer: D
6) The
graph of the binary relation y = x2 – 6x + 5 represents
A)
Line
B)
Circle
C)
Parabola
D)
Ellipse
Answer: C
7) The
graph of R1 = {(x, y) ½ x, y Î R and y > x} is
A)
Line
B)
Points on the line y = x
C)
All points below the line y = x
D)
All points above the line y = x
Answer: D
8) If
f (x) = ax + b, where a, b Î R, a ¹ 0, then f is called a
A)
Constant Function
B)
Linear Function
C)
Quadratic Function
D)
Polynomial Function
Answer: B
9) The
graph of a linear function represents a
A)
Circle
B)
Line
C)
Parabola
D)
Ellipse
Answer: B
10) The
equation having null set as its solution set is
A)
x = cos x
B)
x = ex
C)
x = sin x
D)
x = tan x
Answer: B
11) The
composition of two functions f and g is defined as (fog) (x) = f {g (x)}, for
all x in the set
A)
Rg
B)
Dg
C)
Dg Ç Df
D)
Rg Ç Df
Answer: D
12) If f(x) = x and g(x) = x2
then the value of (fog) (x) is
A)
x2
B)
x
C)
x3
D)
x4
Answer: A
13) Let
f: S ®
T be a one – to – one function such that f(x1) = 6 and f(2) = 6 then
the value of x1 is :
A)
6
B)
2
C)
3
D)
12
Answer: B
14) Let
f(x) = 5x + 3 then f is
A)
One – to – one function
B)
Onto function
C)
Constant function
D)
Both one-to-one and onto function
Answer: D
15) Let
: S ®
S be an identity function and 2 Î S, then the value of f(2) is
A)
2
B)
– 2
C)
3
D)
½
Answer: A
16) Let
g = {(1, 1), (2, 3), (3, 2), (4, 4)} be a function from S onto S, then the
value of g–1 (2) is,
A)
2
B)
3
C)
4
D)
1
Answer: B
17) Let
f(x) = 5x + 1, x Î
R then value of f–1 (6) is,
A)
31
B)
1
C)
6
D)
1/6
Answer: B
18) If
g(x) = 2x + 1 then the value of g2(1) is
A)
3
B)
9
C)
7
D)
8
Answer: C
20) The
graph of the function y = x and y = tan x intersect at the point
A)
x = p/4
B)
x = 0
C)
x = p/2
D)
x = p/3
Answer: B
21) The
solution set of the equation x = tan x is
A)
f
B)
{p/4}
C)
{1}
D)
{0}
Answer: D
22) The
solution set of 2x3 – 3x2 + 4x – 5 = 0 can have at the
most,
A)
4 members
B)
3 members
C)
2 members
D)
5 members
Answer: B
23) If
f (x) = 2x2 – 1 and g(x) = 5x + 2 then value of f[g(2)] is
A)
312
B)
87
C)
287
D)
288
Answer: C
Gºº₫..,
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