Term
The function f(x) = x^{6}+1 is
a.odd
b.even
c.both
d.neither 

Definition


Term
Which function is never a continuous function? 

Definition
Greatest integer function 


Term
What formula would you use to find the value of a bank account in the year 2042, if it is opened with $400 in the year 2000 and pays 6% interest. Assume interest is compounded semiannually.
What is the value in 2042? 

Definition
A(t) = P(1 + r/n)^{nt}
(42) = 400 (1 + .06/2)^{(2*42)}
$4,790.57 


Term
Describe the type of symmetry found in an even function 

Definition
Line symmetry with respect to the yaxis 


Term
What is the difference between a power function and an exponential function? 

Definition
They are distinguished by the location of the variable.
In a power function the variable is the base.
In an exponential function the variable is the exponent. 


Term
Give the rules for translating a graph horizontally 

Definition
f(x)  f(x+k) shifts f(x) 'k' units horizontally.
If k>0, the shift is to the right.
If k<0, the shift is to the left.
If you need to review this information more thoroughly watch "Vertical and horizontal graph transformations" by PatrickJMT on Youtube. 


Term
Define exponential growth and exponential decay 

Definition
Exponential growth means that the value of the function increases exponentially as the value of x increases.
Exponential decay means that the value of the function decreases exponentially as x increases. 


Term
Exponential growth or decay?
y= 2/5^{x} 

Definition


Term
Exponential growth or decay?
y= 2^{x} 

Definition


Term
Exponential growth or decay?
y= 2^{x} 

Definition


Term
Describe the type of symmetry found in an odd function. 

Definition
Point symmetry with respect to the origin 


Term
Find f(1/2) for
A. f(x) = 2x^{2}
B. f(x) = x/x+5 

Definition


Term
Without graphing, tell where the graph of the given equation would translate from the standard position
A) ιxι  7
(the absolute value of x, minus 7)
B) ιx +4ι
(the absolute value of x +4)


Definition


Term
Be sure you can graph piece functions, aboslute value functions and greatest integer functions! Look back over lesson 3.3! 

Definition


Term
Functions that have no gaps, holes or jumps are know as ____________________ functions. 

Definition


Term
In general, do functions have to be even or odd or can they be neither? 

Definition
Functions in general need not be even or odd. A function in which f(x) ≠ f(x) and f(x) ≠ f(x), is neither even nor odd. (text page 108109) 


Term
Do exponential functions have zeros? 

Definition
No. The graph of an exponential functions gets close to the xaxis but never touches it. Since the xaxis is horizontal, it is a horizontal asymptote. 


Term
What is the value of the number e (the euler number)? 

Definition

