# Shared Flashcard Set

## Details

BCA Precalculus Test (3.1-3.3)
Set of flashcards to assist students reviewing for the precalculus test covering sections 3.1-3.4.
20
Mathematics
10/31/2012

Term
 The function f(x) = x6+1 is a.odd b.even c.both d.neither
Definition
 b. even
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 y-axis
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= 2/5x
Definition
 Decay
Term
 Exponential growth or decay? y= 2x
Definition
 Growth
Term
 Exponential growth or decay? y= 2-x
Definition
 Decay
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) = 2x2 B. f(x) = x/x+5
Definition
 A. 1/2 B. 1/11
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
 A) down 7   B) left 4
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
 Continuous
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 108-109)
Term
 Do exponential functions have zeros?
Definition
 No. The graph of an exponential functions gets close to the x-axis but never touches it. Since the x-axis is horizontal, it is a horizontal asymptote.
Term
 What is the value of the number e (the euler number)?
Definition
 e = 2.718281828
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