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Examine the equation below. a. Solve the equation by first finding an equivalent equation without fractions. Check your solution(s). b. Often, this method of eliminating fractions from an equation is called Fraction Busters because the multiplication of the equation by a common denominator or several of the denominators eliminates ("busts") the fractions. The result is an equation with no fractions. By what number (or numbers) did you multiply both sides of the equation in part (a) to eliminate the fractions? How did you choose that number? Is it the smallest number that would eliminate all of the fractions?
Are the curves level curves of a function ? What property must a family of curves in a region of the xy -plane have to be the family of level curves of a function defined in the region?
The curves of represents parabola
which is horizontally shifted for . The curves cannot be level curves of a function defined in because each of these curves intersects all of the others.
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