Chapter 3 Vocab Terms

Question 1

includes polynomial functions and rational functions

Answer 1

Algebraic Function

Question 2

nonalgebraic function such as exponential and logarithmic functions

Answer 2

Transcendental Functions

Question 3

f(x) = a^x

Answer 3

exponential function f with base a

Question 4

e=2.718281828…

Answer 4

natural base

Question 5

f(x)=e^x

Answer 5

natural exponential function

Question 6

When the number of compoundings n increases without bound, the process approaches what is called
A=P(1+(r/n)^nt

Answer 6

continuous compounding

Question 7

f(x)=loga^x

Answer 7

logarithmic function with base a

Question 8

logarithmic function with base 10

Answer 8

common logarithmic function

Question 9

f(x)=logex =lnx

Answer 9

Natural logarithmic function

Question 10

log a of x = log 10x/log10a

Answer 10

Change of Base, base 10

Question 11

log a of x = log b of x/ log b of a

Answer 11

Change of Base, base b

Question 12

log a of x =lnx/lna

Answer 12

Change of Base, base e

Question 13

Let a, b, and x be positive real numbers such that a does not equal 1 and b does not equal one. Then log(a) of x can be converted to a different base.

Answer 13

Change of Base Formula

Question 14

y=ae^bx when b>0

Answer 14

Exponential Growth Model

Question 15

y=ae^-bx when b>0

Answer 15

Exponential Decay Model

Question 16

y =ae^-(x-b)^2/c

Answer 16

Gaussian Model

Question 17

y=a/1+be^-rx

Answer 17

Logistic Growth Model

Question 18

y=a +b ln(x) or y+ a +b log of 10 x

Answer 18

Logarithmic Model

Question 19

term used in Gaussian Models, for probability and statistics

Answer 19

normally distributed

Question 20

Type of curve Gaussian model has

Answer 20

Bell Shaped Curve

Question 21

given by the formula y=a/1+be^-rx and happens in Logistic Growth models

Answer 21

Logistic Curve

Question 22

another name for logistic growth curve

Answer 22

Sigmoidal Curve