Function Vocab
Evaluating Function Rules
Writing Function Rules
Graphing
Is it a Function?
100

True or False-A relation is a set of ordered pairs

What is TRUE?

100
Evaluate f(x)=-3x if x=2
What is -6?
100
Given the points write a function rule (0,-2);(1,-1); (2,0)
What is y=x-2?
100

The point (0, 2) is in this quadrant

What is none because the point sits on the y-axis

100
Is it a function? {(2, 3), (4, 5), ( -2, 6)}
What is YES because x does not repeat?
200

The set of first coordinates of a relation or a function

What is Domain?

200
Evaluate f(x)=2x+1 if x=-2
What is -3?
200
Given the points write a function rule (0,0); (1,3); (2,6)
What is y=3x?
200

Draw an example of an absolute value function.

What is a V shaped image on a graph?

200
Using the vertical line test does the graph of the points (1,3) and (1,5) represent a function?
What is False, the points fail the vertical line test
300

This is a function that can be represented with a line on a graph.

What is a continuous function?

300
Evaluate f(x)=-3 - x if x=6
What is -9?
300

Given the points write a function rule (0,0); (2,1); (4,2)

What is y=x/2?

300
Which direction does the absolute value function point (up or down) when there is a negative slope?

What is the down?

300
Is it a function?
x y
2 4
1 5
2 6
What is NO because x repeats?
400

A relation that assigns exactly one value in the range to each value in the domain?

What is a function?

400
Evaluate f(x)=25 + 4x if x=5
What is 45?
400

Given the points write a function rule (-1,-1); (0,1); (1,3);(2,5)

What is f(x)=2x+1?

400

Define a step function.

What is:  A step function (or staircase function) is a piecewise function containing all constant "pieces". The constant pieces are observed across the adjacent intervals of the function, as they change value from one interval to the next. A step function is discontinuous (not continuous). You cannot draw a step function without removing your pencil from your paper.

400
Is it a function?
What is YES because it passes the Vertical Line Test?
500
The test to tell if a graph is a function
What is the Vertical Line Test?
500
Evaluate f(x)=-(4x+2) if x=7
What is -30
500
Given the points write a function rule (0,5); (1,6); (2,7);(-1,4)
What is f(x)=x+5
500

Give two features of a parent function.

What are (any two accepted): 

• Domain: All Reals (-∞,∞)

Unless domain is altered.

• Range: [0,∞)

• increasing (0, ∞)

• decreasing (-∞,0)

• positive (-∞, 0) U (0, -∞)

• absolute/relative min is 0
• no absolute max (graph → ∞)

• end behavior
f (x) → +∞, as x → +∞
f (x) → +∞, as x → -∞

500
Is it a function?
What is NO because it does not pass the Vertical Line Test?