The "Basic Nine" Functions Algebra II Trigonometry

Domain and Range of Reciprocal Function

D= all real numbers except x=0 R= all real numbers except y=0

Domain and Range of Linear Equation Function

D=(-∞, ∞) R=(-∞,∞)

Domain and Range of Step Function

D=(-∞,∞) R= all real integers

Domain and Range of Cubic Graph Function

D=(-∞,∞) R=(-∞,∞)

Domain and Range of Exponential Function

D=(-∞,∞) R=(0,∞)

Domain and Range of Absolute Value Function

D=(-∞,∞) R=[0,∞)

Domain and Range of Quadratic Equation Function

D=(-∞,∞) R=[0,∞)

Domain and Range of Logarithmic Function

D=(0,∞) R=(-∞,∞)

Domain and Range for Square Root Function

D=[0,∞) R=[0,∞)

How many asymptotes are in a reciprocal function?

Two asymptotes

Reciprocal Function

y=1/x

Exponential Function

y=2^x

Step or Greatest Integer Function

y=[x]

Logarithmic Function

y=logx

Linear Equation Function

y=x

Quadratic Equation Function

y=x^2

Cubic Graph Function

y=x^3

Absolute Value Function

y=|x|

Square Root Function

y=√ x

Another Writing of a Reciprocal Function (left) u (right)

(-∞,0) u (0,∞)