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A. Identify the relation that is not a function.
weight of a person to a person's height
weight of an apple to the apple's cost
time of day to the temperature at that time
number of days to the height of a tree

B. Identify the relation that is a function.
last name to phone number
city name to state name
days of the week to the months of the year
number of apples purchased to the cost of the apples

Sagot :

Answer:

  • weight of a person to a person's height is not a function
  • weight of an apple to the apple's cost is a function
  • time of day to the temperature at that time is not a function
  • number of days to the height of a tree is not a function
  • last name to phone number is not a function
  • days of the week to the months of the year is a function
  • city name to state name is not a function.
  • number of apples purchased to the cost of the apples is not a function

Step-by-step explanation:

  • If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs, do not classify the relationship as a function. weight of a person to a person's height is not a function as weight of a person can be anything irrespective of the person’s height.

 

  • If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs, do not classify the relationship as a function. weight of an apple to the apple's cost is a function as cost of the apple will be according to the weight of the apple.

  •  If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs, do not classify the relationship as a function. Outside temperature depends on the time of the day thus temperature The time of the day is not dependent on the temperature. The time goes as it is, irrespective of the temperature.

  • If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs, do not classify the relationship as a function. The height. of tree is a function of the number of days. With time the height of tree increases but number of days is not a function to height of a tree.  

 

  • If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs, do not classify the relationship as a function. Last name is not a function of phone number because person with same last name can have different phone numbers.

  • If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs, do not classify the relationship as a function. Days of the week is a function to months of a year because days of the week leads to months of a year.

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  • If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs, do not classify the relationship as a function. State consists of cities but there is no relationship between state name and city name.

  • If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs, do not classify the relationship as a function. Number of apples purchased is not a function of cost of the apple but cost of the apple depends upon number of apples purchased.

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