Naming
Functions
Functions
Domain & Range
Exponents & ARoC
Inverse Functions
Exponentials & More
100
The name for the function: f(x) = x2
What is Quadratic?
100
What is the domain and range for this function?
D: (-∞, 0] and R: [0, ∞)
100
Simplify using laws of exponents
(p^5)^10
p50
100
How does DOMAIN of function compare to RANGE of inverse?
They are the same
100
Where would you put parentheses to make this equation correct?
6 x 18 - 12 = 36
Around the (18-12).
200
The name of the function: f(x) = x3
What is Cubic?
200
What's the domain and range for this function?
D: (-∞, ∞) and R: [0, ∞)
200
Simplify using laws of exponents
(-9s)(2s^3)
-18s4
200
Find the inverse of f(x) = 5x
f^-1(x)= x/5
200
Solve the problem.
3 + (5x4) -2
21
300
The name of the function:
What is cube root function?
300
Find the domain and range
D: (-∞, ∞) and R: (-∞, ∞)
300
Simplify using laws of exponents
x^-3*x^15
x12
300
Find the inverse of f(x) = -x
f^-1(x)= -x
300
f(x)=2(0.87)x
Does this function represent exponential growth or decay? What is the growth/decay RATE?
Exponential Decay
Rate: 0.13 or 13%
400
The name of the function: √x
What is Square Root Function?
400
Find the domain and range of the following function:
D: (-∞, ∞) and R:(-∞,2]
400
The graph shows the depth of water W in a reservoir over a one-year period as a function of the number of days x since the beginning of the year. What was the average rate of change of W between x=100 and x=200?
Average Rate of Change: -1/4 ft/day
400
Find the inverse function
400
What is the initial amount and growth factor for the function f(x)=2(3)x
initial amount=2
growth factor= 3
500
The name of the function: f(x) = 2x
What is Exponential?
500
Find the vertex, domain and range
V: (1, -5)
D:(-∞, ∞)
R: [-5, ∞)
500
Find the average rate of change between the given intervals.
f(x)=3x-2
x=2, x=3
Average Rate of Change: 3
500
Find the inverse of
f(x)=-x^3/27
f^-1(x)= ∛-27x
f^-1(x)= -3∛x
500
For the exponential function y=15(3)x, what is the factor, and does the function represent growth or decay?
Exponential Growth
Factor: 3