SKIP
Exists if and only if one relation contains (b,a) whenever the other relation contains (a,b).
What is an inverse relation?
100
This is the formula for exponential functions.
What is a(b)^x?
100
False.
The graph of an exponential function will always cross the x - axis. True or false, explain your answer.
100
$608.33?
A savings account earns 4% interest per year. If Josiah puts 500 dollars in now, this is how much will he have after 5 years.
100
e
What is the most commonly base used in exponential functions?
200
SKIP
If and only if each horizontal line intersects the graph of the function in at most one point.
When does a function f has an inverse function?
200
This is what the "a" and "b" values are in a(b)^x.
What is the y-intercept (starting value) and constant multiplier (pattern)?
200
9104
The population of a small town is decreasing at a rate of 2% per year. in 1970 the population was 25,000. This is what the approximate population would be in the year 2020.
200
Exponential
This is the model that best describes the following information. y = 17^x
300
SKIP
Same base multiplied: exponents add
Same base divided: exponents subtract
(a^m)^n = a^(m*n)
Different bases multiples with same exponent
Different bases divided with same exponent
What are the rules of exponents?
300
SKIP
False there is a constant multiplier (6).
These ordered pairs represent an exponential function; (-1, .5),(0,3),(1,18),(2,108). True or false, explain your answer.
300
~24 students?
The number of students in the book club is increasing at a rate of 15% per year and they started with 9 students. How much would they have after 7 years?
300
Linear
This is the model that best describes the following information. {(1,8),(2,12),(3,16),(4,20),(5,24)}
400
Exponential
What function will increase the most rapidly?
400
1250
When f(x) = 10(5)^x is evaluated for f(3).
400
3.125 grams
Fluorine-20 has a half-life of 11 seconds. This is the amount of fluorine-20 left from a 50 gram sample after 44 seconds.
400
Exponential
This is the model that best describes the following information. {(-1,-54),(0,-18),(1,-6),(2,-2),(3,-2/3)}
500
SKIP
Determine an interval within all zeros are located.
What is the best way to narrow the search of zeros?
500
2.718281828...
To determine continuous growth when x tends to infinity.
What is the value of e? And why do we use it?
500
6820 people
The population of a town is declining at a rate of 6%. If the current population is 12,426 , predict the population in 10 years using a continuously.