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
58 , 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)0
-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)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
8x5y4 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)6 = $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