Function vocabulary
Is it a function?
Evaluating functions
Key Features of Graphs
Domain & Range
Miscellaneous functions
Functions in context
Piecewise + other
100

This word is used to describe the set of all inputs for a function.

Domain

100

No, not a function. It does not pass the vertical line test.

100

f(-3) if f(x) = 2x +1

-5

100

What is the maximum value for the graph? Write it using FUNCTION NOTATION - e.g., I would write this graph's MINIMUM as f(-4) = -3

f(-2) = 6

100

What large-scale geological/tectonic process is responsible for the existence of our local Cascade volcanoe?

A) Obduction, B) Subduction, or C) Hot spot

B) Subduction

100

Is (-4,6) a solution to the inequality:

3/2 x+2/3 y>1

Nope!

100

What is the average rate of change of f(x) over interval [2,4]

5

100

Evaluate f(5)

4

200

This word is used to describe the set of all outputs of a function.

Range

200

Yes

200

Let f(x) = x2 + x + 1; find f(-5).

21

200

Which nearby ski mountain holds the record for the largest snowfall ever measured in one season in the USA?

Mt. Baker!

In the 1998-1999 season, it received 1140 in (95 ft). 

200

Find RANGE:


y ≥ -1

200

What is the RANGE of the situation? Use set notation

{0,20,40,60,80,100,120}

200

A function B(p) models the number of broken or fractured bones Vincible receives after p punches from Conquest.  

After 12 punches, Vincible has broken 48 bones - write this using function notation. 

B(12) = 48

200

List the two domains and one range of this piecewise function: 

*USE APPROPRIATE SYMBOLS*

D: [-5,1] and (2,5]

R: [-2,4]

300

The Seattle Mariners have two retired numbers (not counting Jackie Robinson (42)). Who are these players?

Edgar Martinez (11); Ken Griffey Jr. (24)

300

The mapping diagram shows a function or not.

No, not a function

300

Based on the graph of the function, what is f(4)?

-2

300

Over what domain is this graph increasing? Write as an inequality - e.g., it is decreasing over the domain -6 ≤ x < -4. 

-4 < x < -2

OR

-4 ≤ x ≤ -2

300

Find the DOMAIN:


all real numbers

300

Find the average rate of change for the function g(x) between x=-9 and x=0

1

g(-9) = -11 // g(0) = -2


300

I have a list of students' names and ages. Which statement is true? 

A) name is a function of age

B) age is a function of name

B) age is a function of name

Each student has only one age, but each age has multiple students. 

300

Given the piecewise function above, find f(-1)

3

400

How do you determine if a GRAPH is a function or not?

Vertical Line Test

400

Does the following table represent a function?
x      y
1      2
2      5
6      2
2      9
5      1

No -the input 2 has two different outputs. 

400

In which country is the krone (plural Kroner) the primary form of currency?

Norway

400

The y-intercept of the graph. Write as a coordinate pair (x,y)

(0,4)

400

Find the DOMAIN:


-5 ≤ x ≤ 8

400

Find the average rate of change of the function from x = 2 to x = 4. 

f(x)=x^2

6

f(2) = 4 // f(4) = 16

(16-4)/(4-2)=12/2=6

400

Which of the below functions has a higher average rate of change between 4 and 8 seconds?

z(t)

400

State the domain and range of the following graph: *MUST USE APPROPRIATE SYMBOLS*

D: (-3,1]

R: [-4,0]

500

This word describes any set of ordered pairs where each input has one - and ONLY one - output. 

FUNCTION

500

Is this a function and why?

Nope - input 8 yields two different outputs. 

500

Find f(4) =

0

500

Find f(-3) if f(x) = 2x+ 12x + 16


f(-3) = 2

500

Find the RANGE:


-3 ≤ y ≤ 2

500

The wizarding order of the Istari includes Gandalf the Grey, Saruman the White, Radagast the Brown, and two other wizards that are only briefly mentioned in The Lord of the Rings. 

What color are those two wizards? They share the same color. 

Blue (Alatar and Pallando)

500

The function K(L) models the number of Kroner Krashouts K per blurted-out LOOOOW TAAAAAAPER FADE meme. 

Write these statements using function notation: 

A) Mr. Kroner is a benevolent and generous King, and has yet to crash out despite two low taper fade memes from Hudson. 

B) After Josie Scanlan's 12th haircut-related disruption, Mr. Kroner experienced his fourth crashout of the day.

A) K(2) = 0

B) K(12) = 4

500

Use the above piecewise function to find f(6)

4

600

What is the maximum value of a graph?

The largest y-value/output of the graph.

600

I'm gonna pop some tags. How many dollars are in my pocket?

$20

600

Evaluate this function for P(-4) if

P(x)=-1/2x2 + 5x + 2

P(-4)=-26

600

Is shaded region increasing, decreasing, or constant?


Decreasing 

600

Find the DOMAIN. Write using set notation - e.g., the range would be {2, 4, 10}. 

{(-2, 4), (3, 2), (2, 10)}

{-2, 2, 3}

600

Find h(0), h(1.5), and h(-1)

h(-1) = -1

h(0) = 0

h(1.5) = 2

600

Mr. Kroner gains 3 Aura Points for every additional piece of Drip he wears - unfortunately for him, he begins with -15 aura. 

1) write a function A(d) representing this situation, where A(d) is Kroner's Aura with d pieces of Drip. 

2) how many pieces of drip does Mr. Kroner need to achieve neutral (0) aura? Use function notation. 

1) A(d) = 3d - 15

2) A(5) = 0

600

What is f(-3)?

-3