Which graph shows the same end behavior as the graph of f(x) = 2x6 – 2x2 – 5?
1 answer:
The graph that shows the same end behavior as the graph of f(x) = 2x⁶ – 2x² – 5 is graph A.
<h3>How to explain the graph?</h3>
In order to find the end behavior of the graph, we need to find the degree of the given function and the leading coefficient. The highest power of x is 6.
The leading coefficient is the coefficient of the highest power term. We have the highest power term is 2x⁶. The leading coefficient is 2 (Positive number)
Therefore, The graph that shows the same end behavior as the graph of f(x) = 2x⁶ – 2x² – 5 is graph A.
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Answer: The total number of logs in the pile is 6.
Step-by-step explanation: Given that a stack of logs has 32 logs on the bottom layer. Each subsequent layer has 6 fewer logs than the previous layer and the top layer has two logs.
We are to find the total number of logs in the pile.
Let n represents the total number of logs in the pile.
Since each subsequent layer has 6 fewer logs then the previous layer, so the number of logs in each layer will become an ARITHMETIC sequence with
first term, a = 32 and common difference, d = -6.
We know that
the n-th term of an arithmetic sequence with first term a and common difference d is
Since there are n logs in the pile, so we get
Thus, the total number of logs in the pile is 6.