document.write( "Question 1095295: For the polynomial, state (a)the degree (b)whether it is odd, even or neither (c)end behavior (d)number of zeroes and multiplicities if any (e)graph the polynomial function.\r
\n" ); document.write( "\n" ); document.write( "f(x)=x^4-9x^2 \n" ); document.write( "

Algebra.Com's Answer #709854 by htmentor(1343) $\"\"$ $\"About$

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a) The degree is 4 since the leading term is x^4.
\n" ); document.write( "b) The function is even if f(x) = f(-x).
\n" ); document.write( "Since both terms have even exponents, f(-x) is equal to f(x), so the function is even.
\n" ); document.write( "c) For large x, or large negative x, f(x) ~ x^4, so the function grows without bounds, i.e. f(x) -> infinity
\n" ); document.write( "d) x^4 - 9x^2 -> x^2(x^2 - 9) -> x^2(x+3)(x-3), so the zeros are 3, -3 (mult. 1) and 0 (mult. 2)
\n" ); document.write( "e) $\"graph%28300%2C+200%2C-6%2C6%2C-20%2C40%2Cx%5E4+-+9x%5E2%29\"$
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