Pre-calc 3.1-3.5

Question 1

Exponential and logarithmic functions are example of _____________________.

Answer 1

Transcendental functions

Question 2

The _________________ f with base a is denoted by f(x)=a^x

Answer 2

exponential function

Question 3

The irrational number e=2.718281828…. is called the _____________

Answer 3

natural base

Question 4

The function given by f(x)=e^x is called the _________________________

Answer 4

natural exponential base

Question 5

For x>o, a>o and a≠1 y=loga^x if and only if _________

Answer 5

x=a^y

Question 6

The function given by f(x)=loga^x is called the ________________ with base a

Answer 6

logarithmic function

Question 7

The function defined by f(x)=loge^x =lnx, x>o is called the __________________________

Answer 7

natural logarithmic function

Question 8

1. loga 1=0
2. loga^a =1

Answer 8

Properties of logarithms

Question 9

1. ln 1=0
2. ln e=1

Answer 9

Properties of natural logarithms

Question 10

loga(u*v) = loga^u+loga^v; ln(u.v)= lnu + lnV

Answer 10

Product property of logarithms

Question 11

loga u/v = loga u-logaV; ln u/v=lnu-lnv

Answer 11

Quotient property of logarithms

Question 12

loga U^n= nlogaU; ln u^n= n ln u

Answer 12

Power property of logarithms

Question 13

The graph of a Gaussian model is called a __________________

Answer 13

bell-shaped curve