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In the quadratic formula, the expression under the radical sign is known as the discriminate. How does the discriminant determine the number of and nature of our solutions.   You do NOT need to show your work.

How do we recognize when an equation is quadratic?   You do NOT need to show your work.  

Perform the indicated operation for and express the result as a simplified complex number. 

Perform the indicated operation for and express the result as a simplified complex number.

Determine the discriminant   of the equation and then state how many solutions there are and the nature of the solutions.  

Find the domain of the function  using interval notation.    HINT: Remember, the radicand must be greater than or equal to zero.  

Write the domain and range of each function using interval notation.      The is and the is  

Sketch the graph below and use the vertical line test to determine if the graph represents a function.    

Given the function  solve

Find the domain of the function using interval notation.    HINT: Remember, the denominator cannot be equal to zero.