Name: 
 

Families of Functions



 1 

On January 1, a share of a certain stock cost $180. Each month thereafter, the cost of a share of this stock decreased by one-third.  If x represents the time, in months, and y represents the cost of the stock, in dollars, which graph best represents the cost of a share over the following 5 months?
a)
mc001-1.jpg
c)
mc001-3.jpg
b)
mc001-2.jpg
d)
mc001-4.jpg
 

 2 

The graph below represents the relationship of transported particle size to water velocity?  The graph best models which type of function?

mc002-1.jpg
a)
linear
c)
logarithmic
b)
quadratic
d)
trigonometric
 

 3 

The accompanying graph represents the value of a bond over time.

mc003-1.jpg

Which type of function does this graph best model?
a)
trigonometric
c)
quadratic
b)
logarithmic
d)
exponential
 

 4 

The shaded portion of the accompanying map indicates areas of night, and the unshaded portion indicates areas of daylight at a particular moment in time.

mc004-1.jpg

Which type of function best represents the curve that divides the area of night from the area of daylight?
a)
quadratic
c)
tangent
b)
cosine
d)
logarithmic
 

 5 

Which type of function could be used to model the data shown in the accompanying graph?

mc005-1.jpg
a)
exponential
c)
trigonometric
b)
quadratic
d)
linear
 

 6 

The family of curves shown in the accompanying graph illustrates the transformations of a function.

mc006-1.jpg

Which type of function could be the original function?
a)
linear
c)
exponential
b)
tangent
d)
sinusoidal
 

 7 

The accompanying graph shows the average daily readership, in thousands, of the newspaper “El Diario La Prensa.”

mc007-1.jpg

Which type of function best represents this graph?
a)
exponential
c)
trigonometric
b)
logarithmic
d)
quadratic
 



 
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