How do you tell if a solution is an extraneous solution?

1. How do you tell if a solution is an extraneous solution?
2. How do you find the product of two variable expressions having the same base and fractional exponents?
3. Are all real numbers also complex numbers?  Are all complex numbers also real numbers?
4. Is 3i a solution of 2x² + 18 = 0?  In addition to stating yes or no, be sure to show your work.  

Quadratic Equations:

1. Use the principle of zero products to explain why an equation with solutions of -2, 3, and 5 cannot be a quadratic equation. 
2. Describe three methods of solving a quadratic equation. Note the advantages and disadvantages of each. 
3. Consider the expression that appears under the radical symbol in the quadratic formula; the determinant. What can this value be used to determine?
4. Why is it especially important to check the solutions to radical equations?  

Exponential and Logarithmic Equations:

1. How do you know that a function is an exponential function?  
2. What practical purpose does the “Change-of-Base” formula have? 
3. Determine the parent function that is common to each of the following functions.

Consider each function individually and explain the specific function components that transform the graph of the parent function