Function Notation
Graphs (1.2 & 1.3)
Inc/Dec/Concavity and ROC (1.4-1.6)
Mr. Jones Trivia
100
Is the following relation a function:
{(1,3), (2,4), (3,4)} ?
Explain.
Yes, each input has exactly one output and it passes the VLT.
100
Given f(x) = x2 - 1, find the average rate of change on the interval x=0 to x=4.
AROC = 4
100
Give an x value for when the function is increasing. Explain why it is increasing
Many answers, slope is positive
100
How many siblings does Mr Jones have?
2
200
Does the graph below represent a one-to-one function? Explain.
No; there are more than one unique input for every output and it fails the HLT.
200
For the graph below, write the domain and range in interval notation:
Domain: x ∈ (-∞, ∞)
Range: y ∈ [-3, ∞)
200
Why do linear functions not have any concavity?
Rate of change is constant. Concavity deals with how the ROC is changing
200
Which of these national parks has Mr Jones not been to?
A) Grand Canyon
B) Indiana Dunes
C) Yosemite National Park
f-1(x) = (1 + 3x) / x
300
Given f(x) = 3x-2 and g(x) = -x , find f(g(-4)).
f(g(-4)) = 10
300
Given the graph below, find:
1. f(-1)
2. x when f(x) = -2
f(-1) = -2
when f(x) = -2, x = -1 and x = 2
300
What is the average rate of change on [-4,2]? 
-1
300
Mr Jones played HS Football, name any two positions he played
Quarterback, Wide Receiver, Tight End, Free Safety
400
If f(x) = -x2 + 3x and g(x) = x - 1, find f(g(x)). Simplify your answer.
f(g(x)) = -x2 + 5x - 4
400
For the graph below, identify the intervals on which the function is increasing and decreasing:
Increasing: x ∈ (-1, 1)
Decreasing: x ∈ (-∞, -1) U (1, ∞)
400
For the table below, is this graph concave up or down? Explain
Concave down. The ROC is decreasing
400
How many kids does Mr Jones have?
None... for now
500
If f(x) = x2 - 2x , find f(f(x)). Simplify your answer.
f(f(x)) = x4 - 4x3 + 2x2 + 4x
500
Give one interval where f(x) is concave up and explain why
(-infinity, 0). Rate of change is increasing
500
For the quadratic function below, find the two missing output values
Multiple answers
500
What is the fastest Mr Jones has ever run a mile? (+ or - 7 seconds)
4:12