Domain and Range of Rational Function

What do you call to the resulting y-values after we have substituted in the possible x - values?

• Range

• Range

• Real Numbers

• Inverse Function

Tags

CCSS.HSF.IF.A.1

CCSS.8.F.A.1

Which of the following is not allowed as the value of the independent variable under the square root sign?

• Zero

• negative numbers

• decimal number

• fraction

What is the domain and range of the function (𝑥) = 5𝑥 + 2 ?

• The domain is all real numbers except 2 and the range is all real numbers except 0.

• The domain is all real numbers and the range is all real numbers except 0.

• The domain is all real numbers except 2 and the range is all real numbers.

• The domain and range are all real numbers.

Consider the function, what is the domain of the function?

 $f\left(x\right)=\frac{3}{x-2}$  

•  $\left\{x\ne3\right\}$  
  

•  $\left\{x\ne0\right\}$  
  

•  $\left\{x\ne2\right\}$  
  

•  $\left\{x\ne-2\right\}$  
  

What is the range of the function

 $f\left(x\right)=\frac{3}{x-2}$  

•  $\left\{y\ne-2\right\}$  

•  $\left\{y>0\right\}$  

•  $\left\{y\ne3\right\}$  

•  $\left\{y\ne0\right\}$  

Consider the function

 $f\left(x\right)\ =\sqrt{x-1}$  , what is the domain of the function?

•  $\left\{x\ge-1\right\}$  

•  $\left\{x\ge1\right\}$  

•  $\left\{x\ge0\right\}$  

•  $\left\{x<1\right\}$  

Consider the function , what is the range of the function?

 $f\left(x\right)=\sqrt{x-1}$  

•  $\left\{y<1\right\}$  

•  $\left\{y\ge0\right\}$  

•  $\left\{y\ \epsilon\ R\right\}$  

•  $\left\{y>1\right\}$