2012Spring_Exam3

# 2012Spring_Exam3 - Math113Exam3A Spring2012 Name...

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Math 113 Exam 3A Spring 2012 Name…………………………………………. . Show ALL your work. Each question is worth 6 points, but #5, #8, #10a worth 5 points; and #10b, 1 points. 1. Given the functions ݂ሺݔሻൌݔ െ16 and ݃ሺݔሻൌݔ൅4 , find a. (6 pts) ݂°݃ b. (6 pts) ݃°݂ 2. The number of slices of pizza per person, S, is inversely proportional to the number of people, P, to be shared with. a. (6 pts) Express this in a mathematical formula. b. (6 pts) When there are 20 people, each one gets 2 slices of pizza. Find the constant of proportionality 3. (6 pts) Write the standard form of the equation of the parabola that has the vertex V(5,12) and whose graph passes through the point (7,16) 4. (6 pts) Find the vertex of the parabola ݂ሺݔሻൌ4ݔ െ4ݔ൅21 by any method . Is it a maximum or a minimum? Why? 5. (5 pts) Find the compositions ݂ °݃ and ݃ °݂ : ݂ሺݔሻ ൌ and ݃ሺݔሻ ൌ √2ݔ 6. (6 pts) Determine whether the function ݂ሺݔሻൌሺݔെ5ሻ has an inverse function. If it does, find the inverse function 7.

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