Exponential Function Test Review Name______
1. Graph fx=5x
x / f(x)-1
0
1
y-intercept:
Asymptote:
Domain:
Range:
How has the function been transformed from fx=5x? / Graph: / Attributes:fx=(5-x) / / y-intercept:
Asymptote:
Domain:
Range:
fx=5x-2 / / y-intercept:
Asymptote:
Domain:
Range:
2. A particular type of bacteria triples every hour. If you start your observation with 300 bacteria, state a reasonable domain and range for this exponential growth.
3. Julie measured the size of a bacteria colony every day, as shown in the table. How large should she expect the colony to be after 4 days?
Days / 0 / 1 / 2 / 3 / 4Size (mm2) / 3 / 9 / 27 / 81
4. Write an exponential equation to fit the data in the given table.
x / f(x)0
1
2
3 / 25
5
1
15
5. Write a recursive formula for the following.
Day / 1 / 2 / 3Weight / 400 / 100 / 25
______6. The equation P=98,629∙1.035t models the population of Tawakani from 1990-1999. Which statement best interprets this equation?
a. The population in 1990 was 98,629 and it was increasing 0.035% each year.
b. The population in 1990 was 98,629 and it was increasing 1.035% each year.
c. The population in 1990 was 98,629 and it was increasing 3.5% each year.
d. The population in 1990 was 98,629 and it was increasing by 35 people each year.
7. Given the table of values below, what is the possible parent function, f(x)?
x / f(x)+2-2
-1
0
1
2 / 0
1
2
3
4
a. fx=x
b. fx=x
c. fx=x
d. fx=x2
Exponential Test Review Calculator Page Name______
9. While in the 10th grade, Sally invested $20 in a bank account that paid 6.5% in annual interest. How much was in the account 12 years later?
______
10. A sample of bacteria increases 11% each hour. There were 130 present at x=0.
a. Write an exponential function to represent the number of bacteria present as a function of the number of hours, x.
______
b. Write a recursive formula to model the situation: a1 = ______an = ______
Exponential Test Review Calculator Page Name______
9. While in the 10th grade, Sally invested $20 in a bank account that paid 6.5% in annual interest. How much was in the account 12 years later?
______
10. A sample of bacteria increases 11% each hour. There were 130 present at x=0.
a. Write an exponential function to represent the number of bacteria present as a function of the number of hours, x.
______
b. Write a recursive formula to model the situation: a1 = ______an = ______