Domain and Range 6a/2a review

A.6(a) What are the domain and range of the following?

 $g\left(x\right)=-\frac{1}{4}\left(x-17\right)^2-61$  

• Domain: All real numbers
  Range:  $g\left(x\right)\le61$  

• Domain:  $x\le17$  
  Range:  $g\left(x\right)\le61$  

• Domain: All real numbers
  Range:  $x\le17$  

• Domain:  $g\left(x\right)\ge61$  
  Range:  $x\le17$  

A.6(a) What is the range of the following?

 $y=-x^2-2x+3$  

•  $x\le4$  

•  $x\ge-4$  
  

•  $y\le4$  

•  $y\ge-4$  

What is the domain of  $f\left(x\right)=9-x^2$  ?

•  $f\left(x\right)\ge9$  

• All real numbers

•  $-3\le x\le3$  

•  $x\le9$  

A.6(a) The graph of quadratic function  $f$  is shown on the grid.  Which of these best represents the domain of  $f$  ?

•  $-3\le x\le2$  

• All real numbers

•  $y\ge5.5$  

• All real numbers less than -3 or greater than 2

A.6(a) Which graph best represents a function with a range of all real numbers greater than or equal to -6?

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A.6(a) Which graph represents a function with a domain of all real numbers greater than or equal to -7 and less than 2?

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