Interpreting Functions
Exponents and functions
Exponential/linear
Growth/Decay
Models/Interest
100
What color line represents the function
f(x)=3^x
Red
100
Write an exponential function for the set of points, in the form f(x)=ax.
f(x)=0.5x
100
Luis has saved $1. He then triples the amount he saves each day. Does this represent
an exponential function?
Select the correct phrases within the parenthesis to complete your answer:
This (does/does not) represent an exponential function, because her savings increase
by a constant (ratio/difference).
Does
Ratio
100
The population of a town is 4,000,
and it grows at a rate of 3% per
year. What will the population be
in 8 years?
5067
100
Leo invests $3,000 at an interest rate of 2%, compounded monthly. How much is the investment worth at the end of 5 years?
3315.24
200
Identify the key features of the exponential function f(x)=5x and it's graph.
a.)The domain is y<0. The range is all real numbers. The y-intercept is 1.
b.)The domain is all real numbers. The range is y<0. The y-intercept is 1.
c.)The domain is y>0. The range is all real numbers. The y-intercept is 1.
d.)The domain is all real numbers. The range is y>0. The y-intercept is 1.
d.)The domain is all real numbers. The range is y>0. The y-intercept is 1.
200
Select two expressions that are equivalent to each other.
a.)3-2 x 36
b.)3-3 x 34
c.)34
d.)3-3
a.)3-2 x 36
c.)34
200
Brenda and Eugene set goals for improving their recorded swim times. Which statement best describes these goals?
Brenda: Each newly recorded time will be 2 seconds shorter than previously recorded time.
Eugene: Each newly recorded time will be no greater than one- eleventh of the previously recorded time.
a.) Both goals can be modeled with linear functions.
b.) Both goals can be modeled with exponential functions.
c.) Brenda's goal can be modeled with a linear function, while
Eugene's goal can be modeled with an exponential function.
d.) Brenda's goal can be modeled with an exponential function, while
Eugene's goal can be modeled with a linear function.
c.) Brenda's goal can be modeled with a linear function, while
Eugene's goal can be modeled with an exponential function.
200
The population of a town is 50,000. It decreases at a rate of 10% per year. what will be the population in 20 years.
6079 people
200
There are 3,400 bacteria in a lab dish. The population decreases 15% per day. Compare the decrease in the population for days 1 to 3 with the decrease for days 4 to 6.
The population decreases (less quickly/more quickly) from day 1 to day 3 than from day 4 to day 6.
more quickly
300
Identify the key features of the exponential function f(x)=4x and it's graph.
a.)The domain is y<0. The range is all real numbers. The y-intercept is 1.
b.)The domain is all real numbers. The range is y<0. The y-intercept is 1.
c.)The domain is all real numbers. The range is y>0. The y-intercept is 1.
d.)The domain is y>0. The range is all real numbers. The y-intercept is 1.
c.)The domain is all real numbers. The range is y>0. The y-intercept is 1.
300
Write an exponential function for the set of points, in the form f(x)=ax.
f(x)=0.4x
300
Brenda and Eugene set goals for improving their recorded swim times. Which statement best describes these goals?
Brenda: Each newly recorded time will be at least 2% less than the previously recorded time.
Eugene: Each newly recorded time will be no greater than seven-eigths of the previously recorded time.
a.) Both goals can be modeled with linear functions.
b.) Both goals can be modeled with exponential functions.
c.) Brenda's goal can be modeled with a linear function, while
Eugene's goal can be modeled with an exponential function.
d.) Brenda's goal can be modeled with an exponential function, while
Eugene's goal can be modeled with a linear function.
b.) Both goals can be modeled with exponential functions.
300
The population of a town is 3,000, and it grows at a rate of 2% per year. What will the population be
in 10 years?
3656 people
300
Leo invests $5,000 at an interest rate of 3%, compounded quarterly. How much is the investment worth at the end of 8 years?
6350.56
400
What color line represents the function
f(x)=(1/4)^x
Green
400
Select two expressions that are equivalent to each other.
a.)5-1 x 5-12
b.)5-4 x 53
c.)5-1
d.)5-12
b.)5-4 x 53
c.)5-1
400
Luis has saved $6. He continues to save $6 each week. Does this represent an exponential function?
Select the correct phrases within the parenthesis to complete your answer:
This (does/does not) represent an exponential function, because her savings increase
by a constant (ratio/difference).
does not
difference
400
The population of a town is 100,000. It decreases at a rate of 3% per year. In 15 years what will be the population?
63325 people
400
There are 2,800 bacteria in a lab dish. The population increases 5% per day. Compare the increase in the population for days 1 to 3 with
the decrease for days 4 to 6.
The population increases (less quickly/more quickly) from day 1 to day 3 than from day 4 to day 6.
less quickly
500
Identify the key features of the exponential function f(x)=8x and it's graph.
a.)The domain is y<0. The range is all real numbers. The y-intercept is 1.
b.)The domain is all real numbers. The range is y>0. The y-intercept is 1.
c.)The domain is y>0. The range is all real numbers. The y-intercept is 1.
d.)The domain is all real numbers. The range is y<0. The y-intercept is 1.
b.)The domain is all real numbers. The range is y>0. The y-intercept is 1.
500
Write an exponential function for the set of points, in the form f(x)=ax.
f(x)=0.2x
500
Brenda and Eugene set goals for improving their recorded swim times. Which statement best describes these goals?
Brenda: Each newly recorded time will be at least 2 seconds shorter than the previously recorded time.
Eugene: Each newly recorded time will be no less than 3 seconds shorter than the previously recorded time.
a.) Both goals can be modeled with linear functions.
b.) Both goals can be modeled with exponential functions.
c.) Brenda's goal can be modeled with a linear function, while
Eugene's goal can be modeled with an exponential function.
d.) Brenda's goal can be modeled with an exponential function, while
Eugene's goal can be modeled with a linear function.
a.) Both goals can be modeled with linear functions.
500
The population of a town is 1,000,000, and it grows at a rate of 8% per year. What will the population be
in 30 years?
10,062,657 people
500
Leo invests $4,000 at an interest rate of 5%, compounded quarterly. How much is the investment worth at the end of 20 years?
10805.94