1. For questions 2-15 you must show all work. Simply writing an answer will give no for those
questions! 1. For the following functions, determine whether or not they are polynomial
functions. For are state the degree and maximum number of turning points. (a) f(x)=5x^4-
pix^3+1/2e^x (b)f(x)=1-x^2/2 (c) f(x)=x^3/2-x^2+2 (d)f(x)=e^2x^4-x+7 (e)f(x)= rot
x^2+3x^5+1 (f) f(x)=10x^4+3x^7-9x^2+x-5x^11 (g)f(x)=3x^2+5x^2-8x^2 (h)f(x)=42 (i)
f(x)=x^2+3x/1-x
Solution
a) Not a polynomial. (ex is there)
b) A polynomial as it involves positive integral powers of x.
c) Not a polynomial. (exponent 3/2 is not integer is there)
d) A Polynomial as it involves positive integral powers of x.
e) Not a polynomial because the whole is a square root.
f) ) A Polynomial as it involves positive integral powers of x.
g) A Polynomial as it involves positive integral powers of x.
h) A constant. (no x terms in it)
i) Not a polynomial but a rational function.