Exponent Laws
Domain and Range
Exponential Functions
Slope/Rate of Change
PEMDAS
100

What is the exponent form of 5*5*5*5*5*5*5*5

5, There are eight 5's being multiplied together meaning the exponent would be the 8th degree.

100

Domain is ________ which deals with the ___ axis.


Range is _________ which deals with the ___ axis.

Domain: X-values only! which is the X-axis (left to right)


Range: Y-axis only!! which is the Y-axis (up and down)

100

Exponential Functions are written with this equation: y=a(b)x

The "a" in this equation = _______


The "b" in this equation is=_______

The a= the initial term(the starting value) which is also the Y-intercept (0,y)


The b in this equation is the Growth/Decay Rate, and can be written as b=y2/y1

100

In the equation y=mx+b, the ''m'' is referring to the way?


''m'' is the slope/ rate of change which is y2-y1/x2-x1

100

14 +18 ÷2 x 18 –8

18/2=9

9x18=162

14+162-8

168

200

DAILY DOUBLE DOUBLE POINTS

Using the Zero Exponent rule, Simplify   -(9)

-1  , because of the Zero Exponent rule we know that (9)0 would equal 1 and we keep the negative since it can be distributed

200

What is the domain of the following set of ordered pairs?

{(2, 1) (-1, 0) (-1, 3) (0, 2) (-5, 1)}

{-5, -1, 0, 2}

200

Does this exponential function model GROWTH or DECAY? Draw a graph to show GROWTH or DECAY.

y=0.75(5/6)^x+3

DECAY

The common ratio (r)/ the ''b'' in this equation is less than 1 which indicated decay (the outputs are getting smaller by a factor of 5/6 for every increase of 1 in the input.

200

In the slope intercept equation(y=mx+b) the "b" stand for what?

the "b" represents the y-intercept!!

200

11 x [96 ÷ 4 - 11]

96/4= 24-11=13 x11= 143

300

Simplify this expression 6x7/2x4

3x3

6/2=3 

x7/x4 would be x7-(4)

this will give you 3x3

300

What is the range of the following set of ordered pairs?

{-3, 1, 3, 4}

300

Write the exponential equation for the table below.


300

If you are given the equation y=-3x+5, what is the y-intercept and what type of slope do I have (what direction with this line be going) 

the y-intercept is (0,5) or y=5 or 5

the direction of the line will be downward in the negative direction 

300

(17 –3) x (14 –6) –22

14 x 8-22

112-22

90

400

Simplify this expression y-7x6z12/x2z5

Remember that we can not have negative exponents so y-7 would become 1/y7

x6z12/x2z5y7

then use the quotient rule to simplify

x6-4z12-5y7

x4z7y7

400

DAILY DOUBLE DOUBLE POINTS

What is the range of the graph? 

-3 ≤ y < 1

400

f(x)=a(.93)x

Does this functions represent exponential growth or decay?

Exponential Decay by 7%

400

DAILY DOUBLE DOUBLE POINTS

Given the equation y=1/2x-4 

what is the slope of this function?

1/2 =m

400

[2 (-3)- (-2)] -3 x -9

[2(-27)+2] +27

[-54+2]+27

-52+27

-25


500

Simplify this expression (5x5y3/10x3y2)3



first, we can simplify in the parathesis 

(1/2x2y1)3

Then we use the Power rule, essentially distributing to each term!

(1/2)3x2+3y1+3

8x5y is or simplest form.

500

What is the domain and the range of the following? Think about what domain is... and think about what range is...

domain {2, 3, 5, 7, 9}

range {1, 3, 4, 5, 6}

500

Annual sales of a Wingstop franchise are $530,000 and increasing at a rate of 5%.

The function is S = 530,000(1.05)t

What will the annual sales be in 6 years?

530,000(1.05)= $710,250.69

500

What's the slope of the line passing through (3,9) (5,4)

slope: -5/2

500

DAILY DOUBLE DOUBLE POINTS

(10 + 59 –32) ÷( 24 –42 ) + (64/23)

(69-9)÷ (24-16) +(1296/8)

60÷(8)+ 162

7.5+ 162= 169.5 

M
e
n
u