1.06 Module 1 Practice Test and Review.docx

1.06 Module 1 Practice Test and Review.docx - 1.06 Module 1...

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1.06 Module 1 Practice Test and Review Module 1 Review Vertical Line Test If a vertical line can be drawn through more than two points on the graph of a relation, then the relation is not a function. Horizontal Line Test If a horizontal line can be drawn through more than two points on the graph of a relation, then the relation is not one-to-one. Domain The domain of a function is restricted in the following cases. 1. The denominator may not equal zero. 2. Any value under a square root must be at least zero. Range To prove that this is in fact the inverse of our original f(x), use composition f[f -1 (x)] and f -1 [f(x)] to produce x in each case. Even Function If x is replaced with –x and the function remains the same, then the function is even and is symmetric with respect to the y-axis. Odd Function If x is replaced with –x and all terms in the function return the opposite sign, then the function is odd and is symmetric with respect to the origin.
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