Setting Up Functions

Precalculus Quiz

 








The following problems can be solved by setting up a function of one variable to describe a specific quantity. In order to do this, the information given in the problem should be used to find an equation relating to the variable, and then solve the equation.


Question 1: Express the area of a circle as a function of its circumference C.












Question 2: A rectangle has an area A = 12x2, where 3x is the length of one of the sides of the rectangle. Express the length of the diagonals of the rectangle as a function of x.















Questions 3-4: Given a rhombus of diagonals x and y, express the area and the perimeter as a function of x and y.



rhombus perimeter:











rhombus area:











Question 5: A cylinder of radius r has a volume cubic inches. Express the total surface of the cylinder as a function of r.













Question 6: Given the circle in the coordinate plane, express the distance between the center of the circle and the origin as a function of a and b.













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