Algebra II Unit 1 Pre-Assessment

Write down everything you know about the word "function."

How can you determine if a relation or table represents a function? How can you determine if a graph represents a function?

Keywords: input, output

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Which of the following represents a function?

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Which graph represents a function with a range of all real numbers greater than or equal to -7 and less than 2?

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The graph of the quadratic function below represents the profit for Rick’s Running Shoe Company. How many shoes should Rick’s Running Shoe Company produce in order to have a maximum profit?

• 5,000

• 15,000

• 20,000

• 25,000

The graph of a quadratic function is shown on the grid. Which equation best represents the axis of symmetry?

• $y=6$

• $x=2$

• $y=4$

• $x=0$

What are the domain and range of the exponential function below?

•  $Domain:\ all\ real\ numbers$  
  

  
   $Range:\ y\ge4.5$  
  

•  $Domain:\ x\ge-2$  
  

  
   $Range:\ all\ real\ numbers$  
  

•  $Domain:\ x\ge-2$  
  

  
   $Range:\ y\ge4.5$  
  

•  $Domain:\ x\le-2$  
  

  
   $Range:\ y\le4.5$  
  

What is the inverse operation of multiplication?

• Square

• Addition

• Subtraction

• Division

• $Domain:\ \left\{-8,\ -6,\ -4,\ -2,\ 0,\ 2,\ 4\right\}$
  $Range:\ \left\{-5,\ -3,\ 3,\ 13\right\}$
  

• $Domain:\ \left[-8,4\right]$
  $Range:\ \left[-5,13\right]$
  

• $Domain:\ \left\{-5,\ -3,\ 3,\ 13\right\}$
  $Range:\ \left\{-8,\ -6,\ -4,\ -2,\ 0,\ 2,\ 4\right\}$
  

• $Domain:\ -5\le x\le13$
  $Range:\ -8\le y\le4$