ldentifty Which of the graphs could be the graph a polynomia

ldentifty Which of the graphs could be the graph a polynomial funchon. For those that could list the can have. For Whose that coud not say why not. 4- 4-3-2 234- -2 3 3-2- 2 3 4-3-2 1 23 2 -2

Solution

Solution:

a)

Two of these are polynomial;

1.The lower left is not a polynomial graph due to discontinuity at -1 in the graph.

2.All polynomials are continuous as well as differentiable whereas a modulus function is not differentiable(last graph/lower right is |x| function hence not a polynomial)

b)

Real zeroes:

just see where the graph cuts the x- axis.

hence the graph-1 have -1,1,2 as roots

similarly; for

graph-2(uppr right):-1,2

graph-3(lower left): -2,-1,1

graph-4(lower right): 0

c)

degrees:

least degree of a graph can be defined as the number of times it turns+1.

hence the degrees of

graph-1: 2+1 = 3

graph-2: 3+1 = 4

graph-3: Not a polynomial

graph-4: Not a polynomial