Precalculus : Graphs

Study concepts, example questions & explanations for Precalculus

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Example Questions

Example Question #1 : Graphing Functions

Information about the Hardy Weinberg equation: http://www.nature.com/scitable/definition/hardy-weinberg-equation-299

The Hardy Weinberg equation is a very important concept in population genetics. Suppose we have two "alleles" for a specific trait (like eye color, gender, etc..)  The proportion for which allele is present is given by  and 

Then by Hardy-Weinberg:

 , where both  and  are non-negative.

Which statement discribes the graph that would appropriately represents the above relation?

Possible Answers:

Parabola opening up passing through the point 

Straight line passing through the point 

Straight line passing through the point 

Curved line passing through the point 

Correct answer:

Straight line passing through the point 

Explanation:

The equation can be reduced by taking the square root of both sides. 

 

 

As a simple test, all other values when substituted into the original equation fail.  However,  works. Therefore  is our answer.

 

 

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