Parent Functions Algebra 2 Pre-AP

Linear

F(x)= x
D: all reals
R: all reals
X-int.: (0,0)
Y-int.: (0,0)

Absolute Value

F(x)= |x|
D: all reals
R: y >/= 0
X-int.: (0,0)
Y-int.: (0,0)

Quadratic

F(x)=x^2
D: all reals
R: y >/= 0
X-int.: (0,0)
Y-int.: (0,0)

Cubic

F(x)= x^3
D: all reals
R: all reals
X-int.: (0,0)
Y-int.: (0,0)

Square Root

F(x)= sqrt(x)
D: x >/= 0
R: y >/= 0
X-int.: (0,0)
Y-int.: (0,0)

Exponential growth

F(x)= a^x, |a| > 1 or F(x)= e^x
D: all reals
R: y > 0
X-int.: none
Y-int.: (0,1)

Exponential decay

F(x)= a^x, |a| < 1
D: all reals
R: y > 0
X-int.: none
Y-int.: (0,1)

Rational/Reciprocal/Inverse

F(x)= 1/x
D: {x| x doesn't = 0}
R: {y| y doesn't = 0}
X-int.: none
Y-int.: none

Logarithm

F(x)= log(x)
D: x > 0
R: all reals
X-int.: (1,0)
Y-int.: none