Explain why the expression 9x^3+1/2x^2+3x^-1 is not a polynomial

The given expression can't be expressed in polynomial form. Hence, it is not a polynomial.

Step-by-step explanation:

P(x,n) is a polynomial of nth degree if it is of the form,

P(x,n) =

where n is a finite positive integer and n ∈ N

and ''s are fixed but otherwise arbitrary constants ∀  i = 0(1)n .

Now, the given expression is,

which  doesn't fit in the above form. Hence, it is not a polynomial.

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.

.

step-by-step explanation: