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vlada-n [284]
2 years ago
13

Pls help!!! Suppose c is a rule that takes time as the input and gives your class on Monday as the output. For example, C(10:15)

= Biology .
A. Write three sample input-output pairs for c .
B. Does each input to c have exactly one output? Explain how you know.
C. Explain why c is a function.
Mathematics
1 answer:
AlladinOne [14]2 years ago
4 0

By using the definition of the rule we have:

a) C(9:00) = math.

C(10:00) = history.

b) yes.

c) Because each input has exactly one output.

<h3>Working with rules:</h3>

Here we have the rule C, such that when we input a value of time, the output is the class happening at that hour.

a) Assume that from 9:00 to 10:00 you have math, and from 10:00 to 11:00 you have history, then the rule would work as:

  • C(9:00) = math.
  • C(10:00) = history.

b) Yes, there is only one class that you can have at the same time, so each input can have only one output.

c) If a relationship has the above property (the one for point b) then it is a function.

If you want to learn more about functions, you can read:

brainly.com/question/4025726

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Answer:

The domain of h(x) is {x : x ∈ R}

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Step-by-step explanation:

* Lets read the problem and solve it

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* Lets solve the problem

∵ h(x) = (0.5)^x - 9

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∵ The domain of the function is the values of x

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∵ The range of the function is the set of values of y which

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∵ (0.5)^x must be positive because there is no values of x make it

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∵ h(x) = (0.5)^x - 9

∴ c = -9

∴ The horizontal asymptote is at y = -9

* Look to the attached file for more understanding

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