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Using the classification for even and odd functions, it is found that the function is even, because f(-x) = f(x).
<h3>How we verify if the function is even, odd, or neither?</h3>- If for all values of x, f(x) = f(-x), the function is even.
- If for all values of x, f(-x) = -f(x), the function is odd.
- If neither of these statements are true, the function is neither even nor odd.
Graphing the function , for every value of x, f(x) = -f(x), that is, the function is symmetric over the y-axis, hence it is even.
More can be learned about even and odd functions at brainly.com/question/5634052
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We have been given the sequence 2,3,5,9,17.
We can write the terms of this sequence as
From the above term we can see that for the first term we take exponent 0 on 2 and then add 1 .
For second term we take exponent 1 on 2 and then add 1 .
For third term we take exponent 2 on 2 and then add 1 .
Using this fact for the next term of the sequence i.e. 6th term, we can take exponent 5 on 2 and then add 1 .
Therefore, next term of the sequence is given by
Therefore, the next term is 33.
Using the above facts, the pattern is given by