Evaluate
For the function f(x) = 4(2)x
what is f(3)?
f(3) = 32
A(t) = 500(.94)t
Identify the initial value
500
Jasmine invests $850 into a savings account which earns 5% interest.
Create a function to represent the situation.
A(t) = 850(1.05)t
Jasmine invests $850 into a savings account which earns 5% interest. How much is in the account after 2 years? (Have to round correctly)
$937.13
What is the domain of f(x)=2(4)x ?
(-infinity, infinity)
For the function f(x) = 0.5(4)x
what is f(2)?
f(2) = 8
A(t) = 500(.94)t
Identify the base/factor/multiplier
.94
Andy buys a car for $1,300. The car depreciates at a rate of 4% per year.
Create a function to represent the situation.
A(t) = 1300(.96)t
Andy buys a car for $1,300. The car depreciates at a rate of 4% per year. How much is the car worth in 5 years? (You must round correctly)
$1,059.98
What is the range of f(x)=5(8)x ?
(0, infinity) or y>0
For the function f(x) = 4(1/2)x
what is f(2)?
f(2) = 1
A(t) = 500(.94)t
Identify the rate (as a decimal or a percent)
.06 or 6%
Hayden buys two guineapigs. The guineapigs begin to mate and multiply rapidly. The number of guineapigs double every year.
Create a function to represent the situation.
G(t) = 2(2)t
Hayden buys two guineapigs. The guineapigs begin to mate and multiply rapidly. The number of guineapigs double every year. How many guineapigs does Hayden have after 4 years?
32
What is the asymptote of y = 4(3)x ?
y = 0
For the function f(x) = 5x
what is f(-1)?
f(-1) = 1/5
A(t) = 500(.94)t
Identify if the function is exponential growth or exponential decay.
Exponential decay
Lizabeth invests $1,000 into stocks that have a 8.5% return rate.
Create a function to represent the situation.
A(t) = 1000(1.085)t
Lizabeth invests $1,000 into stocks that have a 8.5% return rate. How many years does she have to wait to have $1,500? (Round to the nearest whole number)
5 years
Draw a rough sketch of an exponential growth function.
See board
For the function f(x) = 2(2)x + 1,
what is f(2)?
f(2) = 9
A(t) = 500(1+.94)t
Identify if the function is exponential growth or exponential decay.
Exponential growth
Harlee buys a house of her own for $220,000. The house has an appreciation rate of 6.25% each year.
Create a function to represent the situation.
A(t) = 220,000(1.0625)t
Harlee buys a house of her own for $220,000. The house has an appreciation rate of 6.25% each year.
How many years until her house is worth $250,000?
(Round to the nearest whole year)
2 years
Draw a rough sketch of an exponential decay function.
See board