For the following exercise, for each polynomial f(x)= frac{1}{2}x^{2} - 1: a) find the degree, b) find the zeros, if any, c) find the y-intercept(s),

arenceabigns 2020-11-01 Answered
For the following exercise, for each polynomial f(x)= 12x2  1: a) find the degree, b) find the zeros, if any, c) find the y-intercept(s), if any, d) use the leading coefficient to determine the graph’s end behavior, e) determine algebraically whether the polynomial is even, odd, or neither.
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Luvottoq
Answered 2020-11-02 Author has 95 answers
a) Since degree of polynomial is the greatest power of x, then the degree of f(x)= 12x2  1 is 2 b) To find the zeros: f(x)=0
12x2  1=0
x2  2=0 Then: x= ± 2 c) To find y-intercept, put x=0, then y-intercept is -1. d) Here n=2, even and an= 12 > 0, then graph rises to the left and right. e) To determine whether the polinomial is even, odd, or neither, replace z with -x: f(x)= 12(x)2  1
=f(x) Then function is even.
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