8.1-8.6 VOCAB

Question 0

When a=integer ….

When a=proper fraction…

Answer 0

Integer: graph is narrower / steeper
Fraction: wider / less steep

Question 1

An exponential function involves the expression…

Answer 1

b^x , where the base b is a positive number other than 1.

Question 2

When a is negative…

Answer 2

Graph reflects over the x axis

Question 3

Range

Answer 3

If a>0 the range is (k,infinity)

If a<0 the range is (-infinity,k)

Question 4

If y=ab^x (h=0 & k=0) the y intercept is

Answer 4

(0,a)

Question 5

End Behavior Exponential Growth

Answer 5

Approaches horizontal asymptote as x goes towards negative infinity

Question 6

End Behavior Exponential Decay

Answer 6

Approaches horizontal asymptote as x goes towards infinity

Question 7

The natural base “e” is an ______ and is called

Answer 7

Irrational number

Is called- the natural base, Euler’s Number

Question 8

Logarithmic Functions Equation

Answer 8

Y= A*LOGb(X-H) + K

Question 9

Logarithmic vertical asymptote

Answer 9

x=h

Question 10

Domain of logarithmic function

Answer 10

(H, infinity)

Question 11

Range of logarithmic function

Answer 11

(-infinity,infinity)

Question 12

Steps for Solving Exponential Equations

Answer 12

1. Check if bases are equal
   (If the bases are equal then their equations must be equal)
2. If the bases cannot be made the same, then:
   -isolate the power
   -take a logarithm of both sides (expand if needed)
   -get x alone

Question 13

Steps for Solving Logarithmic Functions

Answer 13

1. If there is just one logarithm, isolate it.
2. If there is more then one logarithm l:
   
   • if I looks like log( ) = log( )
   • if it’s not, condense
3. Exponentiate each side
4. Check for extraneous solutions