Increase/Decrease
Common Ratio & y-Intercept
Writing Equations
Evaluating Functions
100
Does the table represent a function that is increasing or decreasing?
Increasing
100
What is the y-intercept of this function?
f(x)=2(0.5)x
2
100
Write an exponential function with a common ratio of 0.5 and a y-intercept of 4
f(x)=4(0.5)x
100
Evaluate this function for x = 5:
f(x)=100,000(1.05)x
f(5) = 12762.81563
200
Is this graph increasing or decreasing?
Decreasing
200
What is the y-intercept in this table?
18
200
Write an exponential function for this table:
f(x)=4(3)x
200
f(x)=2200(1.07)x
f(29)=?
f(29)=15651.37
300
Which of the following equations are decreasing?
a. f(x)=1/3(6)x
b. f(x)=4(0.98)x
c. 1/5(1.2)x
B
300
What is the common ratio in this table?
3
300
Write an equation for this table:
f(x)=0.2(3)x
300
A town has a population of 9000 and gets multiplied by 1.03 every year. What will be the population after 9 years, rounded to the nearest whole number?
f(9) ≈ 11743 people
400
Will this function increase or decrease?
f(x) = -7(1.2)x
Decrease
400
What is the common ratio in this graph?
2
400
Write an equation for this graph:
f(x)=4(2)x
400
A new car is purchased for $17,000. The value of the car is multiplied by 0.865 each year. What will the value of the car be, to the nearest penny, after 12 years?
$2982.92
500
An exponential function will increase if the common ratio b is...
Greater than 1
500
What is the common ratio in this graph?
1/3
500
Write an exponential function for this graph:
f(x)=2(1/2)x
500
A substance with mass 330 grams decays by being multiplied by 0.745 each minute. How many grams are remaining after 5 minutes? (Round to 1 number after the decimal).
f(5) ≈ 75.7