Suppose thirty-two students signed up for classes during an orientation session. If
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The graph of the function has no asymptotes.
<h3>The table of values of c(t)</h3>The function is given as:
c(t) = 5t - t² + 1
When t = 1, 2, 5, 10;
We have:
c(1) = 5(1) - 1² + 1 = 5
c(2) = 5(2) - 2² + 1 = 7
c(5) = 5(5) - 5² + 1 = 1
c(10) = 5(10) - 10² + 1 = -49
So, the table of values is
t c(t)
1 5
2 7
5 1
10 -49
See attachment for the graph of the function
<u>The domain</u>
From the question, we understand that t represents time.
- Time cannot be negative i.e. t ≥ 0
- The time does not exceed 5.2 i.e. t ≤ 5.2
So, the domain is 0 ≤ t ≤ 5.2
<u>The range</u>
From the graph, the maximum of the graph is 7.25
So, the range is 0 ≤ f(t) ≤ 7.25
<u>Asymptotes</u>
From the graph, we can see that the graph has no asymptotes.
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