######
41

Does the following set of ordered pairs make for a function of \(x\text{?}\)

\(\Big\{(9,2),(5,8),(8,6),(-3,3),(-5,9)\Big\}\)

This set of ordered pairs

describes

does not describe

a function of \(x\text{.}\) This set of ordered pairs has domain and range .######
42

Does the following set of ordered pairs make for a function of \(x\text{?}\)

\(\Big\{(5,8),(-6,5),(10,4),(-6,10),(-7,5)\Big\}\)

This set of ordered pairs

describes

does not describe

a function of \(x\text{.}\) This set of ordered pairs has domain and range .######
43

Below is all of the information that exists about a function \(f\text{.}\)

\(\begin{aligned}
f(0)\amp =2\amp
f(2)\amp =2\amp
f(3)\amp =2
\end{aligned}\)

Write \(f\) as a set of ordered pairs.

\(f\) has domain and range .

######
44

Below is all of the information about a function \(g\text{.}\)

\(\begin{aligned}
g(a)\amp =1\amp
g(b)\amp =5\\
g(c)\amp =-5\amp
g(d)\amp =5
\end{aligned}\)

Write \(g\) as a set of ordered pairs.

\(g\) has domain and range .

######
45

The following graphs show two relationships. Decide whether each graph shows a relationship where \(y\) is a function of \(x\text{.}\)

The first graph

give a function of \(x\text{.}\) The second graph give a function of \(x\text{.}\)######
46

The following graphs show two relationships. Decide whether each graph shows a relationship where \(y\) is a function of \(x\text{.}\)

The first graph

give a function of \(x\text{.}\) The second graph give a function of \(x\text{.}\)######
47

Some equations involving \(x\) and \(y\) define \(y\) as a function of \(x\text{,}\) and others do not. For example, if \(x+y=1\text{,}\) we can solve for \(y\) and obtain \(y = 1-x\text{.}\) And we can then think of \(y = f(x) =
1-x\text{.}\) On the other hand, if we have the equation \(x=y^2\) then \(y\) is not a function of \(x\text{,}\) since for a given positive value of \(x\text{,}\) the value of \(y\) could equal \(\sqrt{x}\) or it could equal \(-\sqrt{x}\text{.}\)

Select all of the following relations that make \(y\) a function of \(x\). There are several correct answers.

On the other hand, some equations involving \(x\) and \(y\) define \(x\) as a function of \(y\) (the other way round).

Select all of the following relations that make \(x\) a function of \(y\). There are several correct answers.

######
48

Some equations involving \(x\) and \(y\) define \(y\) as a function of \(x\text{,}\) and others do not. For example, if \(x+y=1\text{,}\) we can solve for \(y\) and obtain \(y = 1-x\text{.}\) And we can then think of \(y = f(x) =
1-x\text{.}\) On the other hand, if we have the equation \(x=y^2\) then \(y\) is not a function of \(x\text{,}\) since for a given positive value of \(x\text{,}\) the value of \(y\) could equal \(\sqrt{x}\) or it could equal \(-\sqrt{x}\text{.}\)

Select all of the following relations that make \(y\) a function of \(x\). There are several correct answers.

On the other hand, some equations involving \(x\) and \(y\) define \(x\) as a function of \(y\) (the other way round).

Select all of the following relations that make \(x\) a function of \(y\). There are several correct answers.

######
49

Determine whether or not the following table could be the table of values of a function. If the table can not be the table of values of a function, give an input that has more than one possible output.

Input |
Output |

\(2\) |
\(9\) |

\(4\) |
\(-5\) |

\(6\) |
\(9\) |

\(8\) |
\(5\) |

\(-2\) |
\(-8\) |

Could this be the table of values for a function?

If not, which input has more than one possible output?

######
50

Determine whether or not the following table could be the table of values of a function. If the table can not be the table of values of a function, give an input that has more than one possible output.

Input |
Output |

\(2\) |
\(13\) |

\(4\) |
\(-19\) |

\(6\) |
\(-15\) |

\(8\) |
\(-7\) |

\(-2\) |
\(-9\) |

Could this be the table of values for a function?

If not, which input has more than one possible output?

######
51

Determine whether or not the following table could be the table of values of a function. If the table can not be the table of values of a function, give an input that has more than one possible output.

Input |
Output |

\(-4\) |
\(7\) |

\(-3\) |
\(-4\) |

\(-2\) |
\(-5\) |

\(-3\) |
\(13\) |

\(-1\) |
\(-3\) |

Could this be the table of values for a function?

If not, which input has more than one possible output?

######
52

Determine whether or not the following table could be the table of values of a function. If the table can not be the table of values of a function, give an input that has more than one possible output.

Input |
Output |

\(-4\) |
\(-14\) |

\(-3\) |
\(-2\) |

\(-2\) |
\(12\) |

\(-3\) |
\(19\) |

\(-1\) |
\(15\) |

Could this be the table of values for a function?

If not, which input has more than one possible output?