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Hotmath Practice Problems

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Title:
Hotmath Algebra 1
Author:
Hotmath Team
Chapter:Graphing Linear EquationsSection:Graphing Functions and Relations
 

Problem: 1

Draw a mapping diagram and a graph of the following relation.

{(6, 1), (3, 1), (6, –5), (2, 7), (–8, 3)}

 

Problem: 3

Draw a mapping diagram and a graph of the following relation.

{(5, 0), (5, –2), (2, –1), (4, –1)}

 

Problem: 5

Does the graph represent y as a function of x? Explain.

 

Problem: 7

Does the graph represent y as a function of x? Explain.

 

Problem: 9

Check whether the graph represents a function. Explain your reasoning.

 

Problem: 11

Check whether the graph in the figure represents a function. Explain your reasoning.

 

Problem: 13

Check whether the graph in the figure represents a function. Explain your reasoning.

 

Problem: 15

Check whether the graph in the figure represents a function. Explain your reasoning.

 

Problem: 17

Check whether the graph in the figure represents a function. Explain your reasoning.

 

Problem: 19

Consider the following relation on the set of whole numbers between 1 and 10.

If x and y are both multiples of 3, then they are related. Otherwise it is not.

Graph the relation. Is it a function?

 

Problem: 21

Consider the following relation on the set of whole numbers between 1 and 10.

If x is less than y, then x is related to y. Otherwise it is not.

Graph the relation. Is it a function?

 

Problem: 23

Consider the following relation on the set of whole numbers between 1 and 10.

If x divides evenly into y, then x is related to y.Otherwise it is not.

Graph the relation. Is it a function?

 

Problem: 25

When you roll two six–sided dice, there are 36 possible outcomes. The outcomes can be written as ordered pairs, e.g. (2, 5).

(a) Graph all possible outcomes.

(b) State the domain and range of the relation.

(c) How many different sums are possible? How many ways can each sum be rolled?

(d) What is the probability of rolling a 7?