4.3E: Power Functions and Polynomial Functions (Exercises)
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For the following exercises, determine if the function is a polynomial function and, if so, give the degree and leading coefficient.
7. \(f(x)=4 x^{5}-3 x^{3}+2 x-1\)
8. \(f(x)=5^{x+1}-x^{2}\)
9. \(f(x)=x^{2}\left(3-6 x+x^{2}\right)\)
For the following exercises, determine end behavior of the polynomial function.
10. \(f(x)=2 x^{4}+3 x^{3}-5 x^{2}+7\)
11. \(f(x)=4 x^{3}-6 x^{2}+2\)
12. \(f(x)=2 x^{2}\left(1+3 x-x^{2}\right)\)