Domain & Range from Real Life Situations

A worker is renting a truck. The graph shows the cost in dollars for renting the truck after x hours.

What is the range of the function for this situation?

• All real numbers greater than or equal to 0

• All real numbers greater than or equal to 40

• All real numbers less than to 220

• All real numbers less than 9

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CCSS.HSF.IF.B.4

A rainwater tank is draining at a steady rate. The graph shows the amount of water in the tank in gallons after x days.

What is the range of the function for this situation?

• All real numbers less than or equal to 90

• All real numbers greater than or equal to 0 and less than or equal to 6

• All real numbers greater than or equal to 0 and less than or equal to 90

Monica and her little brother have a lemonade stand selling lemonade for $0.75 per cup. The function  $f\left(x\right)=0.75x$ can be used to find the total amount of money, in dollars, made when x is the number of cups sold. What is a reasonable domain for the function?

• All real numbers

• All whole numbers

• All counting numbers

The cost to rent a mid-size SUV is $71 per day for up to 3 days. The function $f\left(x\right)=71x$ can be used to find the total cost of the rental, in dollars, based on x number of days it is rented. Which statement best fits the situation?

• Domain is  $x\ge0$  

• Domain is  $0,\ 1,\ 2,\ 3$  

• Domain is  $0\le x\le3$  

• All whole numbers

Carlos pays $100 plus $1 per mile to rent a car represented by the function $f\left(x\right)=x+100$  , where x is the number of miles driven. What are reasonable domain and range values for this function?

• Domain is  $x\ge0$  and range is all real numbers

• Domain is all real numbers and range is  $x\ge0$  

• Domain is  $x\ge0$  and the range is  $y\ge100$  

A function takes an input of the number of light bulbs packaged in a day and produces an output of the approximate number of defective bulbs. Which option best describes the domain of the function?

• Non-negative integers

• Non-negative real numbers

• All integers

• All real numbers

For a certain function $y=f\left(x\right)$  , values of  $x$  represents the number of hours a person works a week. Values of  $y$  represent the amount of money earned. Which option describes the domain of the function?

• All real numbers

• Non-negative real numbers

• All integers

• Non-negative integers

The final cost in dollars to buy robotic kits for the Science Club can be found using the function $c=49.85n+7.95$  , where n is the number of kits purchased. They want to purchase at least 8 kits but no more than 12 kits. What is the domain of the function for this situation?

• {8, 9, 10, 11, 12}

• {406.75, 456.60, 506.46, 556.30, 606.16}

•  $0<n<12$  

•  $0<c<606.15$  

The basketball shoot is a booth at the school carnival. A player has 8 shots and scores 3 points for each basket made. The total number of points, y, is a function of the number of baskets made, x. What is a reasonable domain and range?

• $D:\ 0\le x\le8\ \ \ \ R:\ 0\le y\le24$

• $D:\ \left\{0,\ 3,\ 6,\ 9,\ 12,\ 15,\ 18,\ 21,\ 24\right\}$ $R:\ \left\{0,\ 1,\ 2,\ 3,\ 4,\ 5,\ 6,\ 7,\ 8\right\}\ \$

• $D:\ \left\{0,\ 1,\ 2,\ 3,\ 4,\ 5,\ 6,\ 7,\ 8\right\}\ \$ $R:\ \left\{0,\ 3,\ 6,\ 9,\ 12,\ 15,\ 18,\ 21,\ 24\right\}$

• $D:\ 0\le y\le8\ \ \ \ R:\ 0\le x\le24$

A bicyclist goes on a ride that lasts 4 hours, traveling at a speed of 20 kilometers per hour. The distance traveled, y, is a function of the time spent biking, x. What is the reasonable domain and range?

• $D:\ 0\le x\le4\ \ \ R:\ 0\le y\le80$

• $D:\ \left\{0,\ 1,2,\ 3,\ 4\right\}$ $R:\ \left\{0,\ 1,2,\ 3,...,78,\ 79,\ 80\right\}$

• $D:\ \left\{0,\ 1,2,\ 3,...,78,\ 79,\ 80\right\}$ $R:\ \left\{0,\ 1,2,\ 3,\ 4\right\}$

• $D:\ 0\le x\le80\ \ \ R:\ 0\le y\le4$