Basic HTML Version
Q
uantitative
R
easoning &
P
roblem
S
olving
104
© 2014 Pacific Crest
Table of Phenomena
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Fuel efficiency for weight of an automobile
●
Annual salary and weekly salary
●
Tax rate for a given adjusted taxable income
●
Relationship between Celsius and Fahrenheit
temperatures
●
Height of an arrow over time (shot from a bow)
●
Missile launch height over time
●
Average daily temperature over one year
●
Population growth over time
●
Radioactive decay over time
●
Strength of gravity as distance between objects
increases
●
Change in intensity of light as the distance from
the source increases
●
Amount of money accrued each year at 4%
compounded annually
●
Interest as portion of monthly mortgage pay-
ments at 4% interest rate for length of the loan
●
Decibel scale for sound (pressure)
●
The height of tides over time
●
Blood flow through an artery throughout a
heartbeat cycle
●
An electrocardiogram over time
●
First class mail charged per ounce
●
Length of the day (with sunlight) over a year
●
Hang-time for punts that reach different heights
●
Customizing a recipe to serve 4 instead of 12
W
hat Do You Already Know?
Tapping into your existing knowledge
1. What are five different families of functions?
2. How do you isolate the variable
y
in the equation
x
2
+
y
= 3?
3. How do you determine the domain of a function?
4. How do you graph a function?
5. What type of software can you use to graph a function?
6. What is an asymptote and how do you find one?
7. How do you determine if a function is increasing or decreasing?
M
athematical Language
Terms and notation
asymptote
— a value in the domain where the functional values approach infinity or negative infinity
or a value in the range that the graph functional values approach as the domain tends towards
positive or negative infinity
behavior of a function
— detailed description of a function across its domain
domain
— the values for which the function is defined
end behavior of a function
— what the function looks like at the start and end of its domain
range
— the values produced for all domain values
I
nformation
What you need to know
R
esources