Functions
Intercepts
Function Notation
Slope!
Absolute Value Functions
100
Are the ordered pairs an example of a function?
(6, 4), (5, -2), (6, -4), (5, 2)
No! There are two outputs for each input
100
What are the x-intercepts of this graph?
(-2, 0), (0,0), (2, 0)
100
Given the function f(x)= -x - 10, what is f(3)?
f(3)= -13
100
f(x)=1/3x-2
What is the slope of this line?
m=1/3
100
Trivia Break!
In the animated Disney film "Robin Hood", what kind of animal is Prince John?
a lion
200
Is this an example of a function?
Yes, it passes the vertical line test.
200
Trivia Break!
The Andes Mountains can be found on which continent?
South America
200
What does it mean for a function to be linear? Draw an example on your whiteboard.
The graph of the function must be a constant, straight line OR the table of values for the function must represent a constant rate of change.
200
Trivia Break!
Shem, Ham, & Japheth were the sons of which Biblical figure?
Noah
200
What is the vertex of the absolute value function shown?
the origin: (0,0)
300
Trivia Break!
What is the capital of Germany?
Berlin
300
3x + 2y = 12
Given the equation above, find the x and y intercepts.
x-intercept: (4, 0)
y-intercept: (0, 6)
300
Evaluate the function for x= -1, 0, and 3:
f(x)=2x+11
f(-1)=9
f(0)=11
f(3)=17
300
Given the function f(x)=x, identify the slope and y-intercept.
m = 1
b = 0
300
Identify the domain and range of the following function:
Domain: All Real Numbers
Range: y≤0
400
In the equation y = 3x + 2, which variable is the independent variable?
x is the independent variable
400
Given the graph, what are the x-intercepts?
(-3, 0) and (1,0)
400
Trivia Break!
What is Alaska's state bird?
Ptarmigan
400
Find the slope of the line that passes through the points (1, 5) and (-2, 6).
m= -1/3
400
Consider the parent absolute value function. How has the " - 3 " in this function affected it's graph?
It moved the graph to the right 3 spaces
500
Is this an example of a function?
No, it does not pass the vertical line test.
500
4x-7y=28
Given the equation, find the x and y intercepts.
x-intercept: (7,0)
y-intercept: (0,-4)
500
Find the value of x such that f(x)=1
f(x)=1 when x=8
500
4x + 3=2y - 1
Find the slope and y-intercept of this line
m = 2
b = 2
500
Identify the domain and range:
Domain: all real numbers
Range: y≥-2