Exponential growth can be modeled by the function y=a*bx.
What does the b signify?
b is the growth factor and is greater than one.
200
Simplify
(68)/(66)
36
200
Simplify
(u11)11
u121
200
Simplify
(3a / 7b)2
(9a2) / (49b2)
200
Evaluate the function for x= {-2, -2, 0, 1, 2}
y= 0.5^(x)
(-2, 4)
(-1, 2)
(0, 1)
(1, 0.5)
(2, 0.25)
200
Suppose that the population of a city was 8,000 six years ago, but since then it has been declining at an average rate of 0.75% per year. Write an equation to find the population after x years.
y=8,000(0.75)x
300
Simplify
(r3s4) (s2t2)
r3s6t2
300
(q10)0
1
300
Simplify
(df)2 (gh)5
d2f2g5h5
300
Evaluate the function for x= {-2, -1, 0, 1, 2}
y= -5^(x)
(-2,-0.04)
(-1,-0.2)
(0,-1)
(1,-5)
(2,-25)
300
The value of a new car decreases exponentially at a rate of 15% per year. A new has an initial value of $24,000. What is the value of the car after 5 years?
Value of the car after 5 years: $10,648.93
400
Simplify
(a8)/(a17)
a-9 or 1/(a9)
400
Simplify
(x-18)3
x-54 or 1/x54
400
Simplify
(p5/r7)9
p45/r63
400
As the value of x increases in the function y=(1/3)^(x) what happens to the value of the function, does it increase/decrease? Give two examples.
(-2,9) and (2, 1/9) shows that as the value of x increases the value of the function decreases.
400
20% of a particular medicine is absorbed by the bloodstream every hour. A patient takes a 40 milligram dose of this medicine at 9 A.M. How many miligrams of medicine are absorbed in the bloodstream at 2 P.M?
13.11 milligrams of medicine are absorbed.
500
Simplify
(45e4f3) (4-5e-6f-1)
(f2)/(e2)
500
Simplify:
((s8)4))5
s160
500
Simplify
[(4m6n14)/(2m3n7)]3
8m2n2
500
When an exponential function has a positive base, that is less than or equal to 1, does the graph rise or fall from left to right? Give a brief explanation.
It falls. When 0
500
Determine whether following points represent a linear, absolute value, or exponential function. Give a brief explanation as to why.
(1,3) (2,9) (3,27) (4,81)
Exponential because there is a common ratio between the values.