Unit 6: Exponent Review

Make a Function

100

Start: 50

Rate: 7

y=50*(7)^x

200

A pack of 350 wolves is growing exponentially by 2% each year.

W(t)=350*(1.02)^x

300

A brand new tesla costs $35,000, but they lose 17% of their value every year.

V(t)=35,000*(0.83)^t

400

There are 50 cells on a petri dish undergo mitosis roughly every hour. Mitosis is the process of a cell splitting into 2 sister cells.

C(t)=50*(2)^t

500

The half-life of Uranium-238 is roughly an Eon (5 billion years). A nuclear power plant has 500g to dispose of.

U(e)=500*(0.5)^e

Simplifying Radicals

100

2\sqrt{5}-7\sqrt{5}

-5\sqrt{5}

200

5\sqrt{40}-8\sqrt{10}

2\sqrt{10}

300

\sqrt{15} * \sqrt{10}

5\sqrt{6}

400

\sqrt{2} * (5\sqrt{18} - 3\sqrt{2} )

24

500

3\sqrt{2} (5-3\sqrt{3}) -15\sqrt{2} + 8\sqrt{24}

7\sqrt{6}

SimplifyingExponents

100

3a-7a^2b^3-5a^2b^3+5a

8a-12a^2b^3

200

3a^2b^5*10ab^-3

30a^3b^2

300

\frac{24x^6yz^2}{3x^5y^2z^2}

\frac{8x}{y}

400

\frac{(2ab)^3}{16a^2b}

\frac{ab^2}{2}

500

\frac{(6ab^3)(8a^3b^9)}{(2ab^2)^4}-3b^4+2a

2a

Vocabulary

100

Growth or Decay?

y=0.75(\frac{5}{2})^x

Growth

200

Anything to the power of zero is ______.

1

300

In the expression  y=A*B^x , the "A" is sometimes referred to as _________ ________.

Start Value

400

In the expression  y=A*B^x , the "B" is sometimes referred to as _________.

Rate

500

The y-intercept of an exponential function is always the point: (___, ___)

(0 , A) or (0 , start)

Graphs

100

Growth or Decay?

Growth

200

Growth or Decay?

Decay

300

Start Value (A)

4

400

Rate (B)

2

500

Range of this function:

0<y<\infty