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Given mapping is a function.
Domain:
Range:
Step-by-step explanation:
By observing Marco's mapping diagram we can see that every value in time is mapped to only one value in the cost. This means that there will be no repetition or same output to two different outputs so given mapping is a function.
<u>Domain:</u>
Domain is the set of all inputs of a function. Here time is input so domain of function is:
<u>Range:</u>
Range is the set of all outputs of the function on domain so the range of the given function is:
Hence,
Given mapping is a function.
Domain:
Range:
Keywords: Domain, range, function
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Answer:
Step-by-step explanation:
We have the following polynomial:
This is a polynomial of the form . Following this rule to expand it, we have:
Applying common factor :
Note the polynomial inside the parenthesis is a perfect square trinomial, which can be factored to. Hence, the final simplification is: