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You can put this solution on YOUR website!
\n" ); document.write( "It's generally worth your time and effort to check that you have typed your question correctly before you submit it.
\n" ); document.write( "\"A. Determine if G is even, odd,or even.\"
\n" ); document.write( "To make any sense, the choices should be even, odd, or neither....
\n" ); document.write( "To answer your first question, no, you do NOT need to evaluate G(-x). You only need to look at the powers of the variables. The polynomial function is even if and only if all the powers are even; it is odd if and only if all the powers are odd.
\n" ); document.write( "The function you show has both even and odd powers, so it is neither even nor odd.
\n" ); document.write( "\"B.There is a local maximum value of 400 at x = 4. Determine a second maximum value using a graph.\"
\n" ); document.write( "For the function you show, there is NOT a local maximum of 400 at x=4.
\n" ); document.write( "Furthermore, you can't find another local maximum by looking at the graph of the function you show. (In fact, if you graph your function, you can easily see that there is only one local maximum.)
\n" ); document.write( "The only way the instruction in part B makes sense is if the given function is even.
\n" ); document.write( "And, in fact, if the second term is 32x^2 instead of 32x, then the function is even; it DOES have a local maximum of 400 at x=4; and, since it is an even function, another local maximum is 400 at x=-4.
\n" ); document.write( "So your post should have started like this:
\n" ); document.write( "\"Given G(x) = -x^4 + 32x^2 + 144, ....\"
\n" ); document.write( "With this start, the problem is straightforward:
\n" ); document.write( "It is an even function because all terms have the variable to even powers.
\n" ); document.write( "Since it is an even function, if one local maximum is 400 at x=4, then another local maximum is 400 at x=-4.
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