# Shared Flashcard Set

## Details

Test #1
N/A
68
Mathematics
05/09/2014

Term
 What is the general formula for a Linear Function
Definition
 Ax + By=C or y=mx+b
Term
 What is the key to recognizing a linear function
Definition
 Both the x and y variable are to the first power
Term
 Is the domain of a Linear Function all real numbers?
Definition
 Yes, except for vertical lines which are not functions art all.
Term
 What properties does a linear function always have?
Definition
 Continuous
Term
 What properties does a linear function usually or sometimes have?
Definition
 Upper or lower bounds, always increasing or decreasing, one-to-one
Term
 What properties does a linear function never have?
Definition
 Horizontal and Verticle Asymptote, Inflection points, and turns
Term
 What pattern are there in the outputs of the type of sequence?
Definition
 First differences are constant.
Term
 What is a real life example of a linear function?
Definition
 Currency conversion, cellphone plan
Term
 What is the general formula for a quadratic equation?
Definition
 y=ax2+bx+c
Term
 How do you identify a quadratic formula?
Definition
 Look for x2
Term
 Is the domain of a quadratic formula always real numbers?
Definition
 Yes
Term
 What is the general shape of a quadratic formula?
Definition
 It is a parabola or a bowl shape.
Term
 What features does a quadratic function never have?
Definition
 Horizontal and Verticle asymptotes, Inflection points, and One-to-One
Term
 What features does a quadratic function always have?
Definition
 Upper or Lower bounds, Turns, can Continuous
Term
 What patterns are their in the outputs of the quadratic formula?
Definition
 Second differences are constant
Term
 What is a real life application to the quadratic formula?
Definition
 Throwing a ball.
Term
 Do quadratic functions have lines of symmetry?
Definition
 Yes
Term
 What is the general formula for a cubic function?
Definition
 y=ax3+bx2+cx+d
Term
 How can you easily identify a cubic function?
Definition
 It always has x3
Term
 Is the domain of a cubic function always real numbers?
Definition
 Yes
Term
 What features does a cubic function never have?
Definition
 Horizontal and Verticle Asymptote, and Upper or Lower bounds
Term
 What features does a cubic function sometimes or usually have?
Definition
 Turns, Always increasing or always decreasing, one-to-one
Term
 What features does a cubic function always have?
Definition
 Continuous
Term
 What patterns are there in the outputs of a cubic formula?
Definition
 Third differences are constant.
Term
 What is a real life application for a cubic function?
Definition
 Volume of different shaped boxes.
Term
 What is the base function for an Exponential Function?
Definition
 y+a(cx+c)+d
Term
 How can you distinguish an exponential function?
Definition
 Any constant with "x" as an exponenet acting as a variable
Term
 Is the domain for Exponential Functions all real numbers?
Definition
 Yes
Term
 What properties does an exponenetail function always have?
Definition
 Horizontal asymptote, Upper or lower bounds, continuous, one-to-one, always increasing or always decreasing.
Term
 What properties does a exponential function never have?
Definition
 Verticle asymptote, inflection points, and turns
Term
 What patterns are there int he outputs of Exponential Functions?
Definition
 Ratios or Ratios of First Differences are constant.
Term
 What are some real life examples of Exponential Functions?
Definition
 Cooling of water, Ulimitied Population growth, radioactive decay.
Term
 What is the basic formula for an Absolute Value funciton?
Definition
 y=a|x+b|+c
Term
 How can you distinguish if a function is an absolute value function?
Definition
 An formula that has "x" between the absolute value bars.
Term
 Is the domain always real numbers?
Definition
 Yes
Term
 What are some features that an absolute value function Always have?
Definition
 Upper or Lower bounds, Continuous, Turns
Term
 What are some features that an Absolute Value Function never have?
Definition
 Verticle or Horizontal Asymptote, Inflection points, One-to-one
Term
 What patterns are there in the outputs of an absolute value function?
Definition
 First differences are one value for awhile and then switch to the negative of the value.
Term
 What are the real life application for an absolute value function?
Definition
 Pacing back and forth, Body tempurature with fever and then taking a fever reducer, Calculating the difference between the measurements that two different machines make of the size of bolt.
Term
 What is the basic function for a Logarithmic Function?
Definition
 y=alogb(x-c)+d
Term
 How can you distinguish a log function?
Definition
 Any function with "x" int he argument of "log()"
Term
 Is the domain of a logarithmic function all real numbers?
Definition
 No, you can't take the log of a negatice number
Term
 What are some features that a Logarithmic function always have?
Definition
 Verticel Asymptote, continuous, one-to-one, always increasing or always decreasing
Term
 What are some properties that a logarithimic function never have?
Definition
 Horizontal asymptote, inflection point, upper or lower bounds, and turns
Term
 What patterns are there in the outputs of a logarithmic function?
Definition
 None!
Term
 What are some real life examples of a log function?
Definition
 Learning curve, Walking Rate, Richter Scale, Decibles
Term
 What is the base function for a logistical function?
Definition
 y=(a/1+be-cx)+d
Term
 How can you distinguish a Logistic Function.
Definition
 Typically has an "e" int he denominator.
Term
 Is the domain for a logistic function all real numbers?
Definition
 Yes
Term
 What are some propertites that a logistic function always has?
Definition
 Horizontal asypmtotes, one-to-one, continuous, alway increasing or decreasing, upper or lower bounds, Inflection points
Term
 What are some propertites that a Logistic funciton never have?
Definition
 Verticle asymptote, Turns
Term
 What patterns are there in the outputs of a logistic function?
Definition
 None
Term
 What are some real life application to a logstic function?
Definition
 Population growth, Epidemic spread of a disease
Term
 What is the base function for a Radical Function?
Definition
 y=an√(x+b)+c
Term
 How can you distinguish a radical function?
Definition
 When "x" is under the radical symbol.
Term
 Is the domain all real numbers?
Definition
 For odd numbers as "n" yes, for even numbers no
Term
 What are som charactaristics that a radical function always have?
Definition
 Alway increasing or decreasing, one-to-one, continuous, (sometimes) upper or lower bounds, (sometimes) Inflection points
Term
 What are some characteristics that radical functions never have?
Definition
 Vertical or Horizontal asymptotes, and turns
Term
 What are some patterns in the outputs of a radical function?
Definition
 None
Term
 What are some real life examples of a Radical Function?
Definition
 Pendulum or swing, car velocity
Term
 What is the base formula for a Rational Function?
Definition
 y=(ax+b)/(x+c)
Term
 How do you distinguish a rational function?
Definition
 Division, with x in both the numerator or denominator.
Term
 Is the domain all real numbers?
Definition
 No, something cannot be divided by zero
Term
 What does the graph of a rational function look like?
Definition
 Angel Wings
Term
 What properties does a rational function usually have?
Definition
 Vertical and Horizontal asymptote, one to one, always increasing or decreasing
Term
 What properties does  a rational function sometimes have?
Definition
 Inflection points, Upper or lower bounds, turns, and is continuous
Term
 What patterns are their in the outputs of a Rational Function?
Definition
 None
Term
 What are some real life application for a Rational Function?
Definition
 Preasure inside a closed container, Force of gravity, Intensity of Light
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