Function Vocab
Evaluating Functions
Grab Bag!
Features of Graphs
Function or No function
100
Define function
A relation that assigns has no more than one output for each input
100
Evaluate f(x)=–3x + 1 when x=2
What is f(2) = –5
100
What is f(–1)?
f(–1) = 3
100
Where is the following graph positive?
–2 < x < 2
100
Is the following a function?
{(2, 3), (4, 5), (–2, 6)}
Yes because x does not repeat
200
Define domain
All possible input or x values of a function
200
Find f(x) for x = –2 from the graph below
f(–2) = 1
200
Given f(x) = –3x – 10 find the input for f(x) = 20
x = –10
200
What is the x-intercept and y-intercept of this graph?
x-intercept: x = 3
y-intercept: y = –3
200
Is it a function?
No because it fails the vertical line test
300
Define range
All possible output or y values of a function
300
Evaluate f(x)= x2 + 4 when x=6
f(6) = 40
300
What are all inputs for this graph for f(x) = –4
x = 1 and x = –2
300
Where is this function increasing?
–2 < x < 0
300
Does the table represent a function?
Yes because x does not repeat
400
Define zero
An input value of a function that make the function equal to zero OR where the function crosses the x-axis
400
Given the piecewise function below, find f(7)
f(7) = 3
400
Given f(x) = 3x + 1
Find g(2) if g(x) = 4f(x) - 15
(hint: find g(x) first)
g(x) = 12x - 11
g(2) = 13
400
What is the maximum and minimum of this function?
Maximum: y = 5
Minimum: y = –6
400
Does this mapping represent a function?
No because –8 has two outputs
500
Define positive
Where the graph of a function is above the x-axis
500
Given the piecewise function below, what is f(2)?
f(2) = 1
500
What are the zeros of this graph?
x = –3
x = 0
x = 2
500
What is the domain and range of this graph?
Domain: –3 ≤ x ≤ 2
Range: –2 ≤ y ≤ 3
500
Is it a function?
Yes because it passes the Vertical Line Test