🎉 Announcing Numerade's $26M Series A, led by IDG Capital!Read how Numerade will revolutionize STEM Learning # Prealgebra ## Carol E. Malloy, Rhonda J. Molix-Bailey, Jack Price ## Chapter 7 ## Functions and Graphing ## Educators ### Problem 1 Determine whether each relation is a function. Explain. $$\{(13,5),(-4,12),(6,0),(13,10)\}$$ Brandon F. Numerade Educator ### Problem 2 Determine whether each relation is a function. Explain. $$\{(9.2,7),(9.4,11),(9.5,9.5),(9.8,8)\}$$ Brandon F. Numerade Educator ### Problem 3 Determine whether each relation is a function. Explain. $$\begin{array}{|c|c|}\hline \text { Domain } & \text { Range } \\\hline-3 & 3 \\\hline-1 & -2 \\\hline 0 & 5 \\\hline 1 & -4 \\ \hline 2 & 3 \\\hline\end{array}$$ Brandon F. Numerade Educator ### Problem 4 Determine whether each relation is a function. Explain. $$\begin{array}{|r|r|}\hline x & y \\\hline 5 & 4 \\\hline 2 & 8 \\\hline-7 & 9 \\\hline 2 & 12 \\\hline 5 & 14 \\\hline \end{array}$$ Brandon F. Numerade Educator ### Problem 5 Determine whether each relation is a function. Explain. (GRAPH CANT COPY) Brandon F. Numerade Educator ### Problem 6 Determine whether each relation is a function. Explain. (GRAPH CANT COPY) Brandon F. Numerade Educator ### Problem 7 Use the data in the table. (GRAPH CANT COPY) Do the data represent a function? Explain. Brandon F. Numerade Educator ### Problem 8 Use the data in the table. (GRAPH CANT COPY) Is there any relation between foot length and height? Brandon F. Numerade Educator ### Problem 9 Determine whether each relation is a function. Explain. $$\{(-1,6),(4,2),(2,36),(1,6)\}$$ Brandon F. Numerade Educator ### Problem 10 Determine whether each relation is a function. Explain. $$\{(-2,3),(4,7),(24,-6),(5,4)\}$$ Brandon F. Numerade Educator ### Problem 11 Determine whether each relation is a function. Explain. $$\{(9,18),(0,36),(6,21),(6,22)\}$$ Brandon F. Numerade Educator ### Problem 12 Determine whether each relation is a function. Explain. $$\{(5,-4),(-2,3),(5,-1),(2,3)\}$$ Brandon F. Numerade Educator ### Problem 13 Determine whether each relation is a function. Explain. $$\begin{array}{|c|c|}\hline \text { Domain } & \text { Range } \\\hline-4 & -2 \\\hline-2 & 1 \\ \hline 0 & 2 \\\hline 3 & 1 \\\hline\end{array}$$ Brandon F. Numerade Educator ### Problem 14 Determine whether each relation is a function. Explain. $$\begin{array}{|c|c|}\hline \text { Domain} & \text { Range } \\\hline-1 & 5 \\\hline-2 & 5 \\\hline-2 & 1 \\ \hline-6 & 1 \\\hline\end{array}$$ Brandon F. Numerade Educator ### Problem 15 Determine whether each relation is a function. Explain. $$\begin{array}{|r|r|}\hline x & y \\\hline-7 & 2 \\\hline 0 & 4 \\\hline 11 & 6 \\\hline 11 & 8 \\\hline 0 & 10 \\ \hline\end{array}$$ Brandon F. Numerade Educator ### Problem 16 Determine whether each relation is a function. Explain. $$\begin{array}{|r|r|}\hline x & y \\\hline 14 & 5 \\\hline 15 & 10 \\\hline 16 & 15 \\\hline 17 & 20 \\\hline 18 & 25 \\ \hline\end{array}$$ Brandon F. Numerade Educator ### Problem 17 Determine whether each relation is a function. Explain. (GRAPH CANT COPY) Brandon F. Numerade Educator ### Problem 18 Determine whether each relation is a function. Explain. (GRAPH CANT COPY) Brandon F. Numerade Educator ### Problem 19 Determine whether each relation is a function. Explain. (GRAPH CANT COPY) Brandon F. Numerade Educator ### Problem 20 Determine whether each relation is a function. Explain. (GRAPH CANT COPY) Brandon F. Numerade Educator ### Problem 21 Use the table that shows the number and size of farms in the United States every decade from 1950 to 2000. (TABLE CANT COPY) Is the relation (year, number of farms) a function? Explain. Brandon F. Numerade Educator ### Problem 22 Use the table that shows the number and size of farms in the United States every decade from 1950 to 2000. (TABLE CANT COPY) Describe how the number of farms is related to the year. Brandon F. Numerade Educator ### Problem 23 Use the table that shows the number and size of farms in the United States every decade from 1950 to 2000. (TABLE CANT COPY) Is the relation (number of farms, average size of farms) a function? Explain. Brandon F. Numerade Educator ### Problem 24 Is the relation (number of farms, average size of farms) a function? Explain. Describe how the average size of farms is related to the year. Brandon F. Numerade Educator ### Problem 25 Tell whether each statement is always, sometimes, or never true. Explain. A function is a relation. Brandon F. Numerade Educator ### Problem 26 Tell whether each statement is always, sometimes, or never true. Explain. A relation is a function. Brandon F. Numerade Educator ### Problem 27 Use the table that shows how various wind speeds affect the actual temperature of$15^{\circ} \mathrm{F}.$(TABLE CANT COPY) Do the data represent a function? Explain. Brandon F. Numerade Educator ### Problem 28 Use the table that shows how various wind speeds affect the actual temperature of$15^{\circ} \mathrm{F}.$(TABLE CANT COPY) Describe how wind chill temperatures are related to wind speed. Brandon F. Numerade Educator ### Problem 29 RESEARCH Use the Internet or another source to find the complete wind chill table. Does the data for actual temperature and wind chill temperature for a specific wind speed represent a function? Explain. Check back soon! ### Problem 30 Draw the graph of a relation that is not a function. Explain why it is not a function. Brandon F. Numerade Educator ### Problem 31 Describe three ways to represent a function. Show an example of each. Then describe three ways to represent a relation that is not a function and show an example of each. Check back soon! ### Problem 32 The inverse of any relation is obtained by switching the coordinates in each ordered pair of the relation. Determine whether the inverse of the relation$\{(4,0),(5,1),(6,2),(6,3)\}$is a function. Check back soon! ### Problem 33 The inverse of any relation is obtained by switching the coordinates in each ordered pair of the relation. Is the inverse of a function always, sometimes, or never a function? Give an example to explain your reasoning. Check back soon! ### Problem 34 The inverse of any relation is obtained by switching the coordinates in each ordered pair of the relation. How can the relationship between water depth and time to ascend to the water's surface be a function? Include a discussion about whether water depth can ever have two corresponding times to ascend to the water's surface. Check back soon! ### Problem 35 Which statement is true about the data in the table? A The data represent a function. B The data do not represent a function. C As the value of$x$increases, the value of$y$increases. D A graph of the data would not pass the vertical line test. $$\begin{array}{|c|c|}\hline x & y \\\hline-4 & -4 \\\hline 2 & 16 \\\hline 5 & 8 \\\hline 10 & -4 \\\hline 12 & 15 \\ \hline\end{array}$$ Brandon F. Numerade Educator ### Problem 36 F The water temperature stays the same as the depth increases. G The water temperature decreases as the depth increases. H The water temperature increases as the depth increases. J The water temperature decreases as the depth decreases. Brandon F. Numerade Educator ### Problem 37 TECHNOLOGY The table shows the results of a survey in which middle school students were asked whether they ever used the Internet for the activities listed. Use the data to predict how many students in a middle school of 650 have used the Internet to do research for school. Check back soon! ### Problem 38 Find each percent of change. Round to the nearest tenth, if necessary. Then state whether the percent of change is a percent of increase or a percent of decrease. from$\$56$ to $\$ 49$ Brandon F. Numerade Educator ### Problem 39 Find each percent of change. Round to the nearest tenth, if necessary. Then state whether the percent of change is a percent of increase or a percent of decrease. from 110 mg to 165 mg Brandon F. Numerade Educator ### Problem 40 The length of a DNA strand is 0.0000007 meter. Write the length of a DNA strand using scientific notation. Brandon F. Numerade Educator ### Problem 41 Evaluate each expression if$x=4$and$y=-1.$$$3 x+1$$ Brandon F. Numerade Educator ### Problem 42 Evaluate each expression if$x=4$and$y=-1.$$$2 y$$ Brandon F. Numerade Educator ### Problem 43 Evaluate each expression if$x=4$and$y=-1.$$$y+6$$ Brandon F. Numerade Educator ### Problem 44 Evaluate each expression if$x=4$and$y=-1.\$
$$20-4 x$$ Brandon F.