Sets
Average Rate of Change
Function Notation
Key Features
Miscellaneous
100
Name the 2 ways to write a set
Set Builder Notation
Interval Notation
100
What is the formula for the average rate of change between any two points on the graph of a function?
(y2-y1)/(x2-x1)
100
What is the name of the following function: h(x)
h
100
What is this function's minimum value?
-10
100
Given the following table, find f(4.5)
f(4.5) = 0.75
200
Write a set in interval notation that represents a set of real numbers that are more than 5 and no more than 7
(5,7]
200
Given the points (5,10) and (4,-1) find the average rate of change.
11
200
A function is defined by the set of ordered pairs {(-1,3),(2,10),(3,9),(4,1)}
What is the output when the input equals 3
x = 9
200
What is this function's maximum value?
16 when x=-2 and 2
200
How do you find the y-intercept in a table?
It is where the input (x) = 0.
300
Write a set in set builder notation that represents the set of integers that are at least 10 and less than 13
{xlx E I, 10 < x < 13}
300
What is another name for the average rate of change for a linear function?
slope
300
Is the folliwng relationship a function? Why or why not?
Yes, every input has only 1 output
300
Give a domain interval over which the function is only increasing:
(0,2)
300
Fill in the following table using your calculator:
100
36
4
4
400
Write the following line in interval notation:
(-2,3]
400
Given the following table, find the average rate of change from x=-2 to x=2
0
400
A function is defined by the set of ordered pairs {(-1,3),(2,10),(3,9),(4,1)}
What is the input when the output equals 1
x = 4
400
State the domain in interval notation:
[-2.5,3]
400
If f(x) = 10-2x and g(x)=2x+3, then which of the following is true?
1. f(3) = g(3)
2. f(1) < g(1)
3. f(2)<g(2)
3. f(2)<g(2)
500
Write the following line in set-builder notation:
{x|-2<x≤3}
500
Given the function f(n)=3n-10, find the average rate of change from n=2 to n=5
3
500
What are all value of x that solve the equation
f(x) = 2
x= -2
x= 2
500
State the range in interval notation:
[-10,16]
500
State the x-intercepts of this function as indicated by the table:
(3,0)
(6,0)