Question

1. determine which of the following graphs are functions. show the pencil test!

circle each one that is a function!
a
b
c
d

1. based on the vocab you learned today, give two other words that mean the same thing as \x\.

Explanation:

Step1: Recall vertical line (pencil) test

A graph represents a function if any vertical line drawn intersects the graph at at most one point.

Step2: Test Graph A

Vertical lines intersect A once.
Passes the test: it is a function.

Step3: Test Graph B

Vertical lines intersect B once.
Passes the test: it is a function.

Step4: Test Graph C

A vertical line intersects C twice.
Fails the test: not a function.

Step5: Test Graph D

Vertical lines intersect D once.
Passes the test: it is a function.

Step6: Test Graph E

A vertical line intersects E twice.
Fails the test: not a function.

Step7: Test Graph F

Vertical lines intersect F at most once.
Passes the test: it is a function.

Step8: Answer question 6

In function vocabulary, "x" (the input variable) is also called the independent variable or the domain value.

Answer:

1. The graphs that are functions are: A, B, D, F
2. Two words with the same meaning as "x": Independent variable, Domain value