Introduction to Domain and Range of Rational Functions

Identify the domain and range of  $f\left(x\right)=\frac{2}{x-1}$  

• Domain: All real numbers except 1

• Domain: All real numbers except 2

• Domain & Range are both all real numbers

• Range: All real numbers except 0

• Range: All real numbers except -1

Identify the domain and range of  $f\left(x\right)=\frac{1}{x}-1$  

• Domain: All real numbers except 0

• Domain: All real numbers except 1

• Domain & Range are both all real numbers

• Range: All real numbers except 0

• Range: All real numbers except -1

Identify the domain and range of  $f\left(x\right)=\frac{4}{x+1}+2$  

• Domain: All real numbers except 4

• Domain: All real numbers except -1

• Domain & Range are both all real numbers

• Range: All real numbers except 0

• Range: All real numbers except 2

Identify the domain and range of  $f\left(x\right)=\frac{1}{x+4}-1$  

• Domain: All real numbers except -4

• Domain: All real numbers except -1

• Domain & Range are both all real numbers

• Range: All real numbers except 0

• Range: All real numbers except -1

Identify the domain and range of  $f\left(x\right)=-\frac{4}{x-2}+7$  

• Domain: All real numbers except 2

• Domain: All real numbers except -4

• Domain & Range are both all real numbers

• Range: All real numbers except 7

• Range: All real numbers except 3