Function Notation
Is it a Function?
Anything Goes
Domain and Range
Key Features of Graphs
100
F(x)= 2x+3
What 2 steps do you take to find F(4)?
1. Plug in 4 for x
2. Do the math
100
State the definition of a function.
A function is when x values do not repeat
100
How can we tell from looking at a graph if the relation is a function?
We can use the vertical line test which shows us whether or not each input is paired with exactly one output. If there are two points on one vertical line, it is not a function.
100
State the definition of the domain and range of a function.
The domain is all of the x values of a function.
Range is all of the y values of a function.
100
What is/are the x-intercept(s) of this function?
(-4,0)
(3,0)
200
F(x)=3x-2
What steps would you take to find F(x)=9? (2 steps)
1. Set 3x-2=9
2. Solve the equation for x
200
Do the set of ordered pairs represent a function?
(1, 4) (2,3) (6,5) (5,6) (-1,4) (0,0)
YES!
200
When is your test going to be?
Next Tuesday September 24th
200
What is the domain and range of the relation below? (1, 9) (2, 4) (5, 4) (13, 7)
Domain is 1, 2, 5, 13 and the range is 4, 7, 9. REMEMBER: Answers are written from least to greatest. Also, if a number appears twice, you only have to write it once.
200
What is the interval of increase for the function below?
Increase: (3, +infinity)
300
What is F(-2)?
F(-2)=-2
300
Does the graph below represent a function?
YES!
300
If the x-intercept and the y-intercept are the same, what must that order pair be?
(0,0)
300
What is the range of the function graphed below?
Domain: (-infinity, 4]
300
Does the function below increase from (4,8)
Yes
400
What is f(2) of the function f(x) = 3x + 10x
26!
400
Does the mapping below represent a function? Why or Why not?
NO! because x value 1 repeats
400
How do you know when a function is positive or negative?
Positive if the y value is greater than zero.
Negative if the y value is less than zero.
400
What is the domain of the function graphed below?
Domain: (-infinity, 4]
400
Identify the maximum of the graph below
(-9,0)
500
d(t) = -3(t + 5) + 4
Find d(t)=2
-17
500
On the board draw a graph that would represent a function, and a graph that would not be a function.
500
Write the Domain of (-5,6] as an inequality.
-5<x≤6
500
What is the domain and range of the graph below?
Domain: [-4,3)
Range: (-5,5)
500
What is the domain, range, increasing, and decreasing of the function below
Domain: All Real Numbers
Range: [-3, + infinity)
Increase: (2, + infinity)
Decrease: (-infinity, -3)