Understand Functions!
Am I a function?
Graph Features
Linear or Non-Linear?
Vocabulary
100
How can you tell if a set of data is a function?
For every input, you have only one output.
100
YES! NO input values repeat.
100
List your RANGE (outputs):
(2, 4), (3, 6) (4, 8)
(4, 6 , 8)
100
Is this linear or non-linear?
Non-linear
100
What is a linear function?
a linear function is a straight line. It is also a nonvertical line.
200
Can a function have multiple x-intercepts? if yes, give an example we went over in class.
The wave. Heart rate Graph.
200
Is this a function and why?
No, because 8 (input) has two outputs 3 and -3.
200
Find the DOMAIN (inputs):
{(-2, 4), (3, 2), (2, 10)}
What is {-2, 3, 2}?
200
Linear or non-linear?
Linear
200
What is the domain of a function?
The domain is the set of all possible input values (x-values)
300
What is slope-intercept form?
What does each variable stand for?
y= mx+ b
m= Slope, Rate, Rate of Change, Constant Rate of Change
b= Y-Intercept, Starting Point, Initial Value, Constant
(x, y): Points
300
This graph is not a function.
Graph 1
300
The shaded region is increasing, decreasing, or constant.
Decreasing Interval
300
Is this linear or non-linear? If linear, what is the constant Rate of Change?
Linear Function
Rate of Change= 1/2
300
What is the difference between Discrete and Continuous domain?
Discrete domain contains specific numbers while continuous domain is an interval of infinite numbers.
400
What visual test can be used to determine if a graph is a function?
What is the Vertical Line Test?
400
Which of the following is not a function?
a.) (0,1), (1,2), (2,3), (3,4)
b.) (0,2), (1,3), (4,3), (1,2)
c.) (1,3), (4,2), (2,0), (3,4)
d.) (1,2), (2,2), (3,2), (4,2)
B
1 can not have an output of 3 and 2
400
Find the two intervals of the graph shown.
Write the points.
Starting Point: (-6, 3)
(-4,-3) , (-2,6), (2,2), & (5,2)
Ending Point: (6,-1)
400
Is this linear or non-linear? If linear, what is the constant Rate of change?
Linear Function
Rate of Change: 3/2
400
How do you recognize the equation of linear function?
y=mx+b . The exponent of x and y is always 1.
500
Can a function have multiple y-intercept? explain
No, because it will not be a function if it has more than one y-intercept since the vertical line test will cross the graph multiple times.
500
Which relation is NOT a function?
a.) (1,-5), (3,1), (-5,4), (4,-2)
b.) (2,7), (3,7), (4,7), (5,8)
c.) (1,-5), (-1,6), (1,5), (6,-3)
d.) (3,-2), (5,-6), (7,7), (8,8)
C
1 can't have a output of -5 and 5
500
Write an equation to represent the function.
y= 20x
500
Does the table depict an linear or non-linear function?
Non-linear
500
What does F(x) stands for?
It's is the function notation. It represents the output or the y-value of the function.
600
Is (2,5), (3,6), (4, 7) and (-3,6) a function?
YES
600
What is happening to the function between the interval x=2 and x=3?
It is decreasing
600
Choice _______ is an equation of a linear function:
A) y=x2 + x + 1
B) y=2x-1
C) y= -3x2+ 2
D) y = x3
B
600
What is a function?
A function is a relation where each input has one output.