Functions Flashcards
Constant Function
D=R
R={K}
Y=k;
k=R
Identitiy FUnction
D=R
R=R
y=x
Polynomial Linear Function
D=R
R=R
y=ax+b
Quadratic Function
D=R
Range if
a>0 -> (-D/4a, Inf)
a<0 -> (-inf, -D/4a)
Cubic function
D=R
R=R
Rational Function
D=R-{x: Q(X)=0}
P(X)/Q(X)
Absolute value or Modulus FUnction
D=R
R=[0, Inf)
Power FUnction has
4 cases
4 cases of POwer function:
-ve - even and odd
+ve - even and odd
+ve even (power)
D=R
R=[0, inf)
-ve even (power)
D=R-{0}
R=R+
+ve odd (power)
D=R
R=R
-ve odd power
D=R-{0}
R=R-{0}
Greatest Integer Function
D=R
R=I
Fractional part of X function
D=R
R=[0,1)
Signum Function
D=R
R={-1, 0, 1}
Sqaure root Function
D=[0, inf)
R=[0, inf)
Exponential Functions
D= R
R=R+
y=a^x, a > 0, a is not 1
Log Function
D=R+
R=R
y=sin(x)
D=R
R=[-1,1]
y=cos(x)
D=R
R=[-1,1]
y=tan(x)
D=R- (2n+1) * pi/2
R=R
y=cosec(x)
D= R - n*pi R= R - (-1,1)
y=sec(x)
D = R - (2n+1)*pi/2 R= R - (-1,1)
y=cot(x)
D = R - n*pi
R=R
y=sin-1(x)
D=[-1,1]
R=[-pi/2, pi/2]
y=cos-1(x)
D=[-1,1]
R=[0,Pi]
y=tan-1(x)
D=R
R=(-pi/2, pi/2)
y=cot-1(x)
D=R
R=(0, pi)
