Chapter 1

A linear function \(f\) can be written in the form \(f(x)=a x+b .\) Identify a and b for the given \(f(x)\). $$ f(x)=5-2 x $$

Express each of the following in interval notation. $$ x \geq 5 $$

Evaluating and Representing Functions If \(f(-2)=3,\) identify a point on the graph of \(f.\)

Classify the number as one or more of the following: natural number, integer, rational number, or real number. \(\frac{21}{24}\) (Fraction of people in the United States completing at least 4 years of high school)

A linear function \(f\) can be written in the form \(f(x)=a x+b .\) Identify a and b for the given \(f(x)\). $$ f(x)=3-4 x $$

Express each of the following in interval notation. $$ x<100 $$

Evaluating and Representing Functions If \(f(3)=-9.7,\) identity a point on the graph of \(f .\)

Classify the number as one or more of the following: natural number, integer, rational number, or real number. \(20,082\) (Average cost in dollars of taition and fees at a private college in 2004 )

A linear function \(f\) can be written in the form \(f(x)=a x+b .\) Identify a and b for the given \(f(x)\). $$ f(x)=-8 x $$

Express each of the following in interval notation. $$ 4 \leq x<19 $$

Classify the number as one or more of the following: natural number, integer, rational number, or real number. 7.5 (Average number of gallons of water used each minute while taking a shower)

A linear function \(f\) can be written in the form \(f(x)=a x+b .\) Identify a and b for the given \(f(x)\). $$ f(x)=10 x $$

Express each of the following in interval notation. $$ -4 < x < -1 $$

Classify the number as one or more of the following: natural number, integer, rational number, or real number. 25.8 (Nielsen rating of the TV show Grey's Anatomy the week of February \(12-18,2007\) )

A linear function \(f\) can be written in the form \(f(x)=a x+b .\) Identify a and b for the given \(f(x)\). $$ f(x)=7 $$

Express each of the following in interval notation. $$ x \leq-37 $$

Graph \(y=f(x)\) by hand by first plotting points to determine the shape of the graph. $$ f(x)=3 $$

Classify the number as one or more of the following: natural number, integer, rational number, or real number. \(90 \sqrt{2}\) (Distance in feet from home plate to second base on a baseball field)

Sort the list of numbers from smallest to largest and display the result in a table. (a) Determine the maximum and minimum values. (b) Calculate the mean and median. Round each result to the nearest hundredth when appropriate. $$ -10,25,15,-30,55,61,-30,45,5 $$

A linear function \(f\) can be written in the form \(f(x)=a x+b .\) Identify a and b for the given \(f(x)\). $$ f(x)=-6 $$

Express each of the following in interval notation. $$ \\{x | x \leq-3\\} $$

Graph \(y=f(x)\) by hand by first plotting points to determine the shape of the graph. $$ f(x)=-2 $$

Classify the number as one or more of the following: natural number, integer, rational number, or real number. \(-71\) (Wind chill when the temperature is \(-30^{\circ} \mathrm{F}\) and the wind speed is 40 mph)

Sort the list of numbers from smallest to largest and display the result in a table. (a) Determine the maximum and minimum values. (b) Calculate the mean and median. Round each result to the nearest hundredth when appropriate. $$ -1.25,4.75,-3.5,1.5,2.5,4.75,1.5 $$

If possible, find the slope of the line passing through each pair of points. $$ (4,6),(2,5) $$

Sort the list of numbers from smallest to largest and display the result in a table. (a) Determine the maximum and minimum values. (b) Calculate the mean and median. Round each result to the nearest hundredth when appropriate. $$ \sqrt{15}, 2^{23}, \sqrt[3]{69}, \pi^{2}, 2^{\pi}, 4.1 $$

Express each of the following in interval notation. $$ \\{x |-1 \leq x\\} $$

Graph \(y=f(x)\) by hand by first plotting points to determine the shape of the graph. $$ f(x)=2 x $$

Classify each number as one or more of the following: natural number, integer, rational number, or irrational number. $$ \pi,-3, \frac{2}{9}, \sqrt{9}, 1 . \overline{3},-\sqrt{2} $$

If possible, find the slope of the line passing through each pair of points. $$ (-8,5),(-3,-7) $$

Sort the list of numbers from smallest to largest and display the result in a table. (a) Determine the maximum and minimum values. (b) Calculate the mean and median. Round each result to the nearest hundredth when appropriate. $$ \frac{22}{7}, 3.14, \sqrt{28}, \sqrt{9.4}, 4^{0.9}, 3^{12} $$

Express each of the following in interval notation. $$ 17>x \geq-3 $$

Graph \(y=f(x)\) by hand by first plotting points to determine the shape of the graph. $$ f(x)=x+1 $$

Classify each number as one or more of the following: natural number, integer, rational number, or irrational number. $$ \frac{3}{1},-\frac{5}{8}, \sqrt{7}, 0 . \overline{45}, 0,5.6 \times 10^{3} $$

The set of numbers contains data about geographic features of the world. (a) Plot the numbers on a number line. (b) Calculate the mean and median for the set of numbers. Interpret your results. (c) Try to identify the geographic feature associated with the largest number in the set. \(\\{31.7,22.3,12.3,26.8,24.9,23.0\\}\) (Areas of largest freshwater lakes in thousands of square miles) (Source: U.S. National Oceanic and Atmospheric Administration.)

If possible, find the slope of the line passing through each pair of points. $$ (-1,4),(5,-2) $$

Express each of the following in interval notation. $$ \\{x | x<1 \text { or } x \geq 3\\} $$

Graph \(y=f(x)\) by hand by first plotting points to determine the shape of the graph. $$ f(x)=4-x $$

Classify each number as one or more of the following: natural number, integer, rational number, or irrational number. $$ \sqrt{13}, \frac{1}{3}, 5.1 \times 10^{-6},-2.33,0 . \overline{7},-\sqrt{4} $$

The set of numbers contains data about geographic features of the world. (a) Plot the numbers on a number line. (b) Calculate the mean and median for the set of numbers. Interpret your results. (c) Try to identify the geographic feature associated with the largest number in the set. \(\\{19.3,18.5,29.0,7.31,16.1,22.8,20.3\\}\) (Highest eleva- tions of the continents in thousands of feet) (Source: National Geographic Atlas of the World.)

If possible, find the slope of the line passing through each pair of points. $$ (10,-4),(-15,7) $$

Express each of the following in interval notation. $$ \\{x | x \leq-2 \text { or } x \geq 0\\} $$

Graph \(y=f(x)\) by hand by first plotting points to determine the shape of the graph. $$ f(x)=3+2 x $$

Classify each number as one or more of the following: natural number, integer, rational number, or irrational number. $$ -103, \frac{21}{25}, \sqrt{100},-\frac{5.7}{10}, \frac{2}{9},-1.457, \sqrt{3} $$

Find a set of three numbers with a mean of 20 and a median of \(18 .\) Is your answer unique?

If possible, find the slope of the line passing through each pair of points. $$ (12,-8),(7,-8) $$

For the measured quantity, state the set of numbers that most appropriately describes it. Choose from the natural numbers, integers, and rational numbers. Explain your answer Shoe sizes

Graph \(y=f(x)\) by hand by first plotting points to determine the shape of the graph. $$ f(x)=\frac{1}{2} x-2 $$

Find a set of five numbers with a mean of 10 and a median of \(9 .\) Is your answer unique?

If possible, find the slope of the line passing through each pair of points. $$ (8,-5),(8,2) $$