Functions and Systems of Equations

Question 1

A function is a rule that assigns ______ ______ output for each possible _______.

Answer 1

exactly one
input

Question 2

The _______ is a function of the ______.

Answer 2

output
input

Question 3

The _______ depends on the ______.

Answer 3

output
input

Question 4

A graph of an equation is a function if it passes the ______ ______ test.

Answer 4

vertical line

Question 5

We know that a table of values is a function if none of the _____ values are repeated.

Answer 5

x, input, or independent variable

Question 6

We know that a list of coordinates is a function if none of the _____ values are repeated.

Answer 6

x, input, or independent variable

Question 7

The independent variable is represented by which axis on a graph?

Answer 7

x

Question 8

The dependent variable is represented by which axis on a graph?

Answer 8

y

Question 9

The input to a function is the _______ variable.

Answer 9

independent

Question 10

The output of a function is the ______ variable.

Answer 10

dependent

Question 11

Is this the graph a function?

Answer 11

No. It does not pass the vertical line test.

Question 12

Is this the graph a function?

Answer 12

No. It does not pass the vertical line test.

Question 13

Is this the graph of a function?

Answer 13

Yes. It passes the vertical line test.

Question 14

Is this the graph of a function?

Answer 14

Yes. It passes the vertical line test.

Question 15

Is this the graph a function?

Answer 15

No. It does not pass the vertical line test.

Question 16

A system of equations has only one solution if the _______ of each equation is ________.

Answer 16

slope

different

Question 17

A system of equations has ______ ________ when the _______ of each equation is the same but the y-intercepts are different.

Answer 17

no solution

slope

Question 18

A system of equations infinite solutions if each equation has the ______ ______ and ________.

Answer 18

same slope

y-intercepts

Question 19

The graph of a system of equations that has one solution will show that the two lines do what?

Answer 19

cross or intersect

Question 20

The graph of a system of equations that has no solution will show that the two lines do what?

Answer 20

The two lines will be parallel.

Question 21

The graph of a system of equations that has infinite solutions will show that the two lines do what?

Answer 21

The two lines will be exaclty on top of each other.

In other words, they are the same line.