Determine the end behavior of each rational function below. Graph each function on the graphing calculator, and
1 answer:
Answer:
a) End behavior: As → ∞, () → . As → −∞, () → .
Looking at the ends of the graph, as goes to ∞ or −∞, gets
closer to .
b) End behavior: As → ∞, () → . As → −∞, () → .
Looking at the ends of the graph, as x goes to ∞ or −∞, gets
closer to .
c) End behavior: As → ∞, () → ∞, and as → −∞, () → −∞.
Looking at the ends of the graph, as goes to ∞, continues to increase
toward ∞, and as x goes to −∞, continues to decrease toward −∞.
Obs:. Graphics are attached
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Answer:
Step-by-step explanation:
Notice that in the second equation, the coefficient of is
times greater than in the first. Therefore, by making the coefficient of
in the second equation
times greater than in the first, it's impossible to only isolate one variable.
Therefore, when , there are no solutions to this system.
We conclude that the sum of the first 8 terms of the arithmetic sequence is 17/5.
<h3>How to get the sum of the first 8 terms?</h3>
In an arithmetic sequence, the difference between any two consecutive terms is a constant.
Here we know that:
There are 7 times the common difference between these two values, so if d is the common difference:
Then the sum of the first 8 terms is given by:
So we conclude that the sum of the first 8 terms of the arithmetic sequence is 17/5.
If you want to learn more about arithmetic sequences:
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