Graphing Exponential Functions
Components of Exponential Equations
Evaluating Exponential Functions
Writing Exponential Functions
Exponential Growth & Decay
100
Fill in the blanks: When graphing an exponential function, it is best to make a table of at least ____ values with the input ___ in the middle.
5, 0
100
What is the constant multiplier in y = 4 * 2x?
2
100
Evaluate y = 32*1.21x when x = 5, rounded to the nearest 10th
83
100
Write the exponential function:
y-intercept = 0.2
constant multiplier = 5
y = 0.2*5x
100
Write the exponential function:
y-intercept = 135
decreases by 5% each year
y = 135 (1 - 0.05)x or y = 135*0.95x
200
Make the table of 5 values you would use to graph this function:
f(x) = 3(1/2)x
x: -2, -1, 0, 1, 2
y: 12, 6, 3, 1.5, 0.75
200
What is the y-intercept in y = 3x
(0, 1) or b = 1
200
A $200 item is worth 1.5 times the amount from one year to the next. Find the items value in 4 years
$1012.50
200
A bank is offering a savings account with a growth rate of 1.02. Write the exponential function for this scenario if you initially deposit $650.
y = 65 * 1.02x
200
What is the percent of change? Growth or decay?
y = 40 * 4x
300% growth
300
Write an exponential function equation for this graph
y = 5 (1)x
300
What is the constant multiplier in an exponential function that is decreasing 10% each year?
.9 or (1-.10)
300
Each year, a $27,000 car is worth 0.96 the prior year's value. Find the value in 10 years
$17950.48
300
A $14,000 truck is worth $12,320 the next year. Write the exponential function for this scenario if the value continues to decrease at the same rate each year.
y = 14000 * 0.88x
300
Kayden's antique car is worth $12,000. It appreciates in value by 11% each year. Write the exponential function for this scenario.
y = 12000 (1 + .11)x or y = 1200*1.11x
400
Graph y = 4(1/4)x
x: -2, -1, 0, 1, 2
y: 64, 16, 4, 1, 1/4
400
Write a simplified exponential function for the scenario: an investment of $20,000 earns 2.5% interest per year
y = 20000*1.025x
400
A $12000 car depreciates in value by 11% each year. How much will the car be worth in 5 years?
$6,700.87
400
Write the exponential function for the given values:
x: 0, 1, 2
f(x): 2560, 3200, 4000
f(x) = 2560 * 1.25x
400
Harold's credit card has 14% annual interest. His starting balance is $3000. How much will he owe in 3 years if he makes no other payments or charges to the card? (Harold is making a very bad financial choice)
$1444.63
500
y = 8 (1/2)x
500
Write a simplified exponential function for the scenario: an investment of $650 depreciates by 1.1% per year
y=650*0.989x
500
Fill in the blank for this exponential function.
x: -2, -1, 0, 1, 2
y: 21, 14.7, 10.29, ___, 5.0421
7.203
500
Write the exponential function and fill in the blank.
x: 1, 2, 3, 4
y: 1536, 384, 96, ___
y=6144*0.25x, y = 24
500
Find the percent of change, growth or decay, and fill in the bank:
x: 0, 1, 2, 3
y: 800, 600, 450, ___
25% decay, 337.5