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Math 12 Chapter 1
Functions & Limits
Test - 3
1.
Coth
-1
is defined as:
a) 1/2ln(x+1/x-1)
b) ln (1/x +
Ö
1-x
2
/x
c) loga
x
d) ln (x+
Ö
x
2
-1)
2.
For continuous function Lim
x
®
a
f(x) = _________________
a) a(a)
b) f(a)
c) a(f)
3.
If x = a
y
then y =
a) None of these
b) loga
x
c) logx
a
d) Constant function
4.
Domain of f
-1
= __________________
a) Domain of R
b) Range of f
c) Ellipse
5.
The range of f(x) = x
3
is:
a) Set of all Real Nos
b) Set of all non-negative Real Nos.
c) None of these
d) Polynomial
6.
Lim
x
®
0
Sin 7
q
/
q
= __________________ (where
q
is in radians)
a) 3
b) 9
c) 7
d) 5
7.
Log x is not defined at x = ________________
a) One
b) Two
c) Zero
8.
A function A : X
®
Y defined by A(
¥
) = a is called function:
a) None of these
b) Set of all Real Nos
c) Constant function
d) Inverse function
9.
Domain of f(x) =
Ö
x is ____________________
a) y
³
2
b) x
³
1
c) x
³
0
10.
Let P(x) = a
n
X
n
+ a
n-1
x
n-1
+ a
n-2
x
n-2
________________+ a
1
, x + a
0
where a
1
, a
2
E R is called:
a) None of these
b) True
c) Polynomial
d) Irrational
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