Identify if the graph is not a polynomial function Determine

Identify if the graph is not a polynomial function. Determine whether the graph is the graph of an even function, an odd function, or a function that is neither even nor odd Is the graph not a polynomial function? Yes, it is not a polynomial function. No, it could be a polynomial function Is this a graph of an even function, odd function, or neither? Even Neither Odd

Solution

solution

1. A graph represents a function if and only if every x-value on the graph corresponds to exactly one y-value.

2. To put it another way, if we can find an x-value with more than one corresponding y-value, then the graph doesn\'t represent a function.

for every x it has a y value so this is a graph of polynomial

point (0,0), (-2,4), (2,-4)

for given graph

x= -2,0 and 2 is solution

x+2=0, x=0, x-2=0

(x+2)(x-2)=0

x^2-4=0

f(x)= x^2-4

y= 4,0 -4 is solution

(y-4)(y+4)=0

f(y)= y^2-16

this graph has a odd function because f(x)does not equal to -f(x)

graph is symmetric about x axis but sign is negative.