Question 1

If the function   is written in the form   , a ratio of polynomials, which of the following could be   ?

Accepted Answer

A)    
B)    
C)    
D)  -8 
A)    
B)    
C)    
D)  -8

Question 2

A 12 kg sample of a certain alloy (mixture of metals) contains 3 kg of tin and 9 kg of copper. A chemist decides to study the properties of the alloy as its percentage of tin is varied. Suppose x represents the quantity of tin, in kg, the chemist adds to the sample. Let   represent the fraction of the mixture's mass composed of tin--that is, the ratio of the tin's mass to the mixture's total mass. A negative value of x represents a quantity of tin removed from the original 12 kg sample. What is the domain of f?

Accepted Answer

A)  
  
B)  
  
C)  
  
D)  
  
E)  
  
A)  
  
B)  
  
C)  
  
D)  
  
E)

Question 3

Farmer Brown has 113 feet of fence. He wishes to close in a rectangular field using the barn as one side of the field. Suppose each side of the field perpendicular to the barn has length    feet.
a) What is the area of the fenced in field in terms of   ?
b) In the context of this problem, what values of   make sense?
c) Approximate the maximum volume of the fenced field.

Accepted Answer

The answer of Farmer Brown has 113 feet of fence....

If the function is written in the form , a ratio of polynomials, which of the following could be ?

Linear Functions and Change

Functions

Quadratic Functions

Exponential Functions

Logarithmic Functions

Transformations of Functions and Their Graphs

Trigonometry in Circles and Triangles

Trigonometric Functions

Trigonometric Identities and Their Applications

Compositions, Inverses, and Combinations of Functions

Vectors and Matrices

Sequences and Series

Parametric Equations and Conic Sections

Filters

Exam 11: Polynomial and Rational Functions