AP/PreCalc with Mr. Wason (2.1–2.3)

Exp. Functions

100

Growth or decay:  

f(x)=0.3(5)^x

 

Growth

200

Increasing/Decreasing:  

f(x)=-7(7)^x

 

Decreasing

300

Concavity?

8(\frac{1}{9})^x

Concave up

400

Growth/decay?

[[x\rightarrow, 0, 1, 2],[y\rightarrow, 5, 1, 0.2]]

Decay

500

\lim_(x->oo)7(0.1)^x

0

Rate of Change

100

What's RoC, if  f(x) passes through (1,4) and (3,16) 

6

200

Common ratio for

[[x\rightarrow, 11, 13, 15],[y\rightarrow, 8,16,32]]

\sqrt{2}

300

The 3^rd term of a geo. sequence is 5, and the 5^th term is 20. Find the 6^th term.

40

400

What's  a_5 

[[n\rightarrow, 0, 2, 4],[a\rightarrow, 1024, 6400, 40000]]

100000

500

The exp. function that passes through  (0,3) and  (4,27) 

y=3(\sqrt{3})^x

Find a and b

100

 2, 6, 18, \ldots 

a=2,b=3

200

7,3.5,1.75,\ldots

a=7,b=0.5

300

1,\sqrt{2},2,\ldots

a=1,b=\sqrt{2}

400

[[x\rightarrow, 0, 1, 2],[y\rightarrow, 5, 1, 0.2]]

a=5,b=0.2

500

[[x\rightarrow, 0, 2, 4],[y\rightarrow, 8, 2, 0.5]]

a=8,b=0.5