Functions

Question 1

Constant Function

Answer 1

D=R
R={K}

Y=k;
k=R

Question 2

Identitiy FUnction

Answer 2

D=R
R=R

y=x

Question 3

Polynomial Linear Function

Answer 3

D=R
R=R

y=ax+b

Question 4

Quadratic Function

Answer 4

D=R
Range if
a>0 -> (-D/4a, Inf)
a<0 -> (-inf, -D/4a)

Question 5

Cubic function

Answer 5

D=R

R=R

Question 6

Rational Function

Answer 6

D=R-{x: Q(X)=0}

P(X)/Q(X)

Question 7

Absolute value or Modulus FUnction

Answer 7

D=R

R=[0, Inf)

Question 8

Power FUnction has

Answer 8

4 cases

Question 9

4 cases of POwer function:

Answer 9

-ve - even and odd

+ve - even and odd

Question 10

+ve even (power)

Answer 10

D=R

R=[0, inf)

Question 11

-ve even (power)

Answer 11

D=R-{0}

R=R+

Question 12

+ve odd (power)

Answer 12

D=R

R=R

Question 13

-ve odd power

Answer 13

D=R-{0}

R=R-{0}

Question 14

Greatest Integer Function

Answer 14

D=R

R=I

Question 15

Fractional part of X function

Answer 15

D=R

R=[0,1)

Question 16

Signum Function

Answer 16

D=R

R={-1, 0, 1}

Question 17

Sqaure root Function

Answer 17

D=[0, inf)

R=[0, inf)

Question 18

Exponential Functions

Answer 18

D= R
R=R+

y=a^x, a > 0, a is not 1

Question 19

Log Function

Answer 19

D=R+

R=R

Question 20

y=sin(x)

Answer 20

D=R

R=[-1,1]

Question 21

y=cos(x)

Answer 21

D=R

R=[-1,1]

Question 22

y=tan(x)

Answer 22

D=R- (2n+1) * pi/2

R=R

Question 23

y=cosec(x)

Answer 23

D= R - n*pi
R= R - (-1,1)

Question 24

y=sec(x)

Answer 24

D = R - (2n+1)*pi/2
R= R - (-1,1)

Question 25

y=cot(x)

Answer 25

D = R - n*pi

R=R

Question 26

y=sin-1(x)

Answer 26

D=[-1,1]

R=[-pi/2, pi/2]

Question 27

y=cos-1(x)

Answer 27

D=[-1,1]

R=[0,Pi]

Question 28

y=tan-1(x)

Answer 28

D=R

R=(-pi/2, pi/2)

Question 29

y=cot-1(x)

Answer 29

D=R

R=(0, pi)