Identifying Exponential Functions
What must be present in order to be an exponential function?
A variable in the exponent
When the b value is greater than one, the function is an exponential _______ function.
growth
If the 1st change in y-values is constant, the function is ______.
linear
What does the letter a represent in an exponential function?
initial value
Freddie Mercury was the lead singer of what band?
Queen
For what value of x is 4x = 256?
x = 4
The letter h represents the ______ shift and the letter k represents the _______ shift.
horizontal, vertical
What type of function has the points:
(1,3) (2,5) (3,7) (4,9)
linear
What is the exponential decay formula?
f(x) = a(1-r)x
What are the names of Kim Kardashian's four children? (3/4 is considered correct)
Psalm, North, Saint, Chicago
What is the formula for an exponential function?
f(x) = abx
What are the transformations to the graph of f(x)=6(.2)x-2-4?
-right 2 units
-down 4 units
If the second change is a pattern of multiplicative change, the function is _______.
exponential
Susie bought a car for $12,300 and it depreciates at a rate of 4% every year. What is the value after 3 years?
$10882.25
In what state is it illegal to shoot a buffalo from the second story of a hotel?
Texas
m(x) = 6118.4
How would the function f(x) = 2x change if it was transformed 7 units up and 8 units left?
f(x) = 2x+8+7
What type of function has the points:
(-2,5) (-1,3) (0,3) (1,5) (2,9)
Quadratic
A certain 120 mg multivitamin is absorbed at a constant rate of 15% each hour. How much is left after 3 hours.
73.695 mg
How old did Ms. Dwire's mom turn in April?
55
Evaluate the exponential function at x=2 with an initial value of 10 and b value of 2.
f(2)=10(2)2
f(2) = 40
Name all of the transformations to the function f(x)=-8(4)x-9+6 and if it is growth or decay.
-growth
-reflect over x-axis
-right 9 units
-up 6 units
What type of function has the following points?
(-3,1) (-2,0) (-1,-1) (0,-2) (1,-1)
None
A radioactive bacteria decays at a rate of 8.21% every hour. What percent is left after 4 hours?
70.99%
What does Ms. Dwire eat for lunch and dinner almost every day?
Chicken and vegetables