Domain and Range Mixed

Student council  is selling t-shirts for $12 each. Their initial cost to buy 40 t-shirts was $240. The profit, p, on the 40 t-shirts is a function of the number of t-shirts sold, t, can be found using the function  $p=12t-240.$   Is this a continuous or discrete function? What are the domain and range of the given function?

• Continuous
   $D:\ 0\le x\le12$  
   $R:\ -240\le y\le240$  
  

• Discrete
  D: {0, 1, 2, 3,...40}
  R: {-240, -228, -216,..240}

• Continuous 
   $D:\ -240\le x\le240$  
   $R:\ 0\le y\le12$  
  

• Discrete
  D: {1, 2, 3,...39}
  R: {240, 241, 242,...560}

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

An aquarium is being filled at a rate of 2.5 inches per second. The equation  $y=2.5x$  is used to determine the height of the water after x seconds. Determine whether it is continuous or discrete and find the domain and range of the situation if it takes 60 seconds to fill the aquarium.

• Continuous
   $D:\ 0\le x\le60$  
   $R:\ 0\le y\le150$  
  

• Discrete
  D: {0, 1, 2, 3,...60}
  R: {0, 1, 2, 3,...150}

• Continuous
   $D:\ 0\le x\le150$  
   $R:\ 0\le y\le60$  
  

• Discrete
  D: {1, 2, 3,...150}
  R: {1, 2, 3,...60}

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

CCSS.HSF.LE.A.1

Determine the domain and range of the following graph and whether it is continuous or discrete.

• Discrete

  D: {-5, -2, -1, 0, 5}

  R: {-5, -2, 0, 1, 4, 6}

• Continuous
  

  $D:\ -5\le x\le5$
  $R:\ -5\le y\le6$
  

• Discrete

  D: {-5, -2, 0, 1, 4, 6}

  R: {-5, -2, -1, 0, 5}

• Continuous
  $D:\ -5\le x\le6$
  $R:\ -5\le y\le5$
  

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

Is the following graph continuous or discrete? What is the domain and range of the graph?

• Continuous
  

  $D:\ 0\le x\le6$
  $R:\ 0\le y\le70$
  

• Discrete
  D:{ 0, 1, 2, 3, 4, 5, 6}
  R: {0, 1, 2, 3,...70}

• Continuous
  $D:\ 0\le x\le70$
  $R:\ 0\le y\le6$
  

• Discrete
  D: {0, 1, 2, 3,...70}
  R: {0, 1, 2, 3, 4, 5, 6}

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

The girls basketball team is having a fundraiser. The girls will receive $7 for each product, p, they sell. What is a reasonable domain and range for this function if they are required to sell at least 8 items but no more than 40 items?

• Continuous

   $D:\ 8\le x\le40$  
   $R:56\le y\le280$  
  

• Discrete

  D: {56, 63, 70,...280}

  R: {8, 9, 10,...40}

• Continuous
   $D:\ 56\le x\le280$  
   $R:\ 8\le y\le40$  
  

• Discrete

  D: { 8, 9, 10,...40}

  R: {56, 63, 70,...280}

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

Alyssa works between 8 and 24 hours a week at Iguana Joes as a waitress. She earns $60 in tips plus $9 an hour. Alyssa’s earnings can be represented by the function $e=60+9x$ . Is the following situation continuous or discrete? What is a reasonable domain and range for this situation?

• Discrete
  D: {8, 9, 10,...24}
  R: { 132, 133, 134,...252}

• Continuous
   $D:\ 8\le x\le24$  
   $R:\ 132\le y\le252$  
  

• Discrete
  D: 132, 133, 134...252}
  R: {8, 9, 10,...24}

• Continuous
   $D:\ 132\le x\le252$  
   $R:\ 8\le y\le24$  
  

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Is the following graph continuous or discrete? What is the domain and range?

• Discrete
  D: {5, 6, 7,...15}
  R: {40, 41, 42,...120}

• Continuous
  $D:\ 40\le x\le120$
  $R:\ 5\le y\le15$
  

• Discrete
  D: {40, 41, 42,...120}
  R: {5, 6, 7,...15}

• Continuous
  $D:\ 5\le x\le15$
  $R:\ 40\le y\le120$
  

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

Is the following graph continuous or discrete? What is the domain and range?

• Discrete

  D: {-5, -3, 1, 2, 4}

  R:{ -5, -3, 1, 2, 5}

• Continuous
  $D:\ -5\le x\le5$
  

  $R:\ -5\le y\le4$
  

• Discrete

  D:{ -5, -3, 1, 2, 5}

  R: {-5, -3, 1, 2, 4}

• Continuous
  $D:\ -5\le x\le4$
  $R:\ -5\le y\le5$
  

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

The art club is selling homemade valentines day cards. They are using the formula  $y=4.5x$   to determine y, the profit earned, for x valentines day cards. They have to sell between 65 and 70 valentines day cards to meet their goal. Determine whether this graph is continuous or discrete and find the domain and range for this situation.

• Discrete
  D: {65, 66, 67, 68, 69, 70}
  R:{292.5, 297, 301.5, 306, 310.5, 315}
  

• Continuous
   $D:\ 65\le x\le70$  
   $R:\ 292.5\le y\le315$  
  

• Discrete
  D: {292.5, 297, 301.5, 306, 310.5, 315}
  R: {65, 66, 67, 68, 69, 70}

• Continuous
   $D:\ 292.5\le x\le315$  
   $R:\ 65\le y\le70$  
  

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.10

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The total distance for traveling to Houston Raceway can be found by using the function  $y=2.25x+20$ , where x is the number of miles driven. If most racers drive between 18 and 32 miles, find the domain and range of the situation and determine whether this function is continuous or discrete.

• Continuous
   $D:\ 60.5\le y\le92$  
   $R:\ 18\le y\le32$  
  

• Discrete
  D: {18, 18.5, 18,5,...32}
  R: {60.5, 61, 61.5,...92}

• Continuous
   $D:\ 18\le x\le32$  
   $R:\ 60.5\le y\le92$  
  

• Discrete
  D: {60.5, 61, 61.6,...92
  R: {18, 18.5, 18,5,...32}

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.10

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5