Vocabulary
Functions
Linear vs. Nonlinear
Misc.
Trivia
100

The word for all of the x-values of a relations

domain

100

Is this a function? Why?

{(1,2), (2,6), (3,9), (4,1)}

Yes, it is a function.

100

True or false: if the graph of a function is not a straight line, then it is linear.

False

100

Sketch a distance vs. time graph of the following scenario:

Taylor Swift left her house to go to her concert. Her limo driver drove at a constant speed. Taylor performed. Then, on her way home, she stopped for a Subway sandwich. Finally, her limo driver dropped her off at home.

Check graph

100

What is the only number that has the same number of letters as its value?

Ex: the spelling TEN has three letters but a value of 10.

Four

200

The word for all of the y-values of a relation

range

200

Is this a function? Why?

{(3,0), (3,1), (3,2), (3,3)}

No, it is not a function

200

Is this function linear?

y=x2+8

No, the x is squared.

200

Translate the following into a function rule:

The output is 8 less than twice the input.

y=2x-8

200

What letter does every odd number have in it?

E

300

Define a function

A relation for which each input has EXACTLY ONE output

300

Is this a function? Why?

x   y

1   4

3   6

5   9

7   2

Yes, it is a function

300

Is this function linear?

5x-9y=1

Yes, it can be written in y=mx+b form.

300

The slope is _____________ when a function is decreasing.

negative

300

The number zero was originally called

cipher

400

Test to see if a GRAPH is a function

Vertical line test (VLT)

400
Translate the following into a function rule:


The output is the product of the input and 49.

y=49x

400

True or false: the graph of a linear function must go through the origin.

False

400

Draw a graph that is NOT a function. Explain.

Answers vary. Must fail the VLT.

400

How many minutes are in a year?

525,600

500
Slope-intercept form

y=mx+b

500

Is this a function? Why?

{(6,7), (7,7), (8,7), (9,7), (15,7)}

Yes, it is a function.

500

What is the range of the function y=3x+4 whose domain is {-6, 5, 10}?

The range is {-14, 19, 34}.

500
Given the rule y=-4x+10, write an input/output table for a domain of {-5, 2, 7}.

See table

500

On what day is Pi Day celebrated?

March 14th