Intro to Functions
Function Notation
Function Composition
Domain and Range
Average rate of change
100
For a function to exist, every input has only one of these
what is output
100
f(x) = 2x - 8
f(10) =
= 12
100
When using this, you use the output of one function as the input for another
What is function composition
100
Does the domain or the ranger represent all possible inputs of a function
what is the Domain
100
The formula for finding the average rate of change is similar to what previous formula?
What is slope formula
200
Given the following set, what is the output if the input is -2?
{(4,7),(2,19),(0,8),(-5,-2),(-2,6)}
What is 6
200
For what value of x in
g(x) = 3x+9
will g(x) = 0
x = -3
200
f(x) = x^2 -x +7
g(x) = 6x-2
"what is" f(g(2))
What is 97
200
State the range of the function f(x) = 7x - 2 if its domain is the set {-2, 0, 2, 4}
What is {-16, -2, 12, 26}
200
f(x) = 2x^2-6x+5
find the average rate of change over the interval
5 le x le 10
What is 24
300
What test can we use to check to see if a graphed equation is a one to one function
what is the vertical line test
300
a new bacteria is growing inside a lab where they are tracking its population growth. The scientist have come up with the equation:
p(t) = 4000(1.079)^t
What is the population after 5 years?
Round to the nearest whole number
5850
300
f(x) = 3x + 4
g(x) = -2x + 7
g(g(4))
what is 9
300
State the minimum and maximum output values of the following function:
What is min = -4, max = 7
300
The height of an object above the ground, in feet, is given as a function of time, in seconds, by the function
h(t) = -16t^2 +112t +10
find the average rate of change from t = 2 to t = 4
What is 16
400
Is the following relationship a function, why or why not
It is not because
it fails the vertical line test
or
one input has two different outputs
400
f(x) = 7x - 18
g(x) = x^2 - 6x + 3
What is f(5) + g(5)
What is 15
400
evaluate for the following
k(k(-2))
what is 0
400
Give a value that is NOT in the domain of the following function:
What is
x le-9
"or"
x ge 8
400
Given the function
f(x) = 3x^2 - 2x + 15
and the function g(x) show in the table below. Which has the greater average rate of change ov the interval
4 le x le 9
"and by how much?"
f(x) by 2
500
What does one to one mean in regards to functions?
it means one input has one output
500
Give values for g(0), g(3) and g(7).
g(0)= -3
g(3)= 4
g(7)= 0
500
Evaluate for the following g(f(x))
g(x) = 3x + 2
f(x) = 2x - 5
What is 6x - 13
500
Given the function
f(x) = (x^2-5)/(x-7)
What value does NOT exist in the domain?
What is x = 7
500
given the function
f(x) = x^2-5x+12
is the average rate of change greater from
-5 le x le -1 ,"or", 1 le x le 5
What is
-5 le x le -1