Answer:
All of them are polynomial functions
Step-by-step explanation:
Remember that a polynomial function of x is a function whose value f(x) is always equal to [tex]f(x)=a_0+a_1x+a_2x^2+\cdots a_nx^n[/tex] for a fixed n≥0 (the degree of f) and fixed coefficients [tex]a_i\in\mathbb{R}[/tex]
For example, [tex]f(x)=x^2+3x[/tex] is a polynomial function, but [tex]g(x)=2^x+x[/tex] is not because [tex]2^n[/tex] is not a nonnegative power of x. Another example of a non-polynomial function is [tex]g(x)=x^{-1}=\frac{1}{x}[/tex].
f(x)=4⋅11x is polynomial with degree 1 and [tex]a_0=0,a_1=4\cdot 11[/tex]. For the same reasons, f(x)=3⋅18x and f(x)=10⋅17x are polynomial functions.
f(x)=−4x³−4x²+5x+1 is a polynomial function of degree 3 with [tex]a_0=1,a_1=5, a_2=a_3=-4[/tex]. and f(x)=−2x−1 is a polynomial function of degree 1 and coefficients [tex]a_0=-1,a_1=-2[/tex].
