Can somebody help me with this math question?
1 answer:
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Answer:
Step-by-step explanation:
Let x represent Brad's score on 4th test.
We have been given Brad has scored 87, 89, and 78 on the first three.
To find the range of Brad's test score, we will represent our given information in an inequality as:
Therefore, the range of score on the fourth test will be .
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.
Read more about domain and range at:
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