which graphs represents an odd function Explain Check whethe

which graph(s) represents an odd function? Explain. Check whether (x + 4) is a factor of f(x) = 4x^4 - 64x^3 - 15? and write your conclusion. List all potential rational zeros of f(x) -4x^3 + x^2 + x + 6

Solution

9. Graph b represents odd function since it is symmetry about the origin.

10. f(x)=4x⁶-64x⁴+x²-15

To check whether x+4 is a factor or not,we have to plug x=-4 and if we get 0,then its a factor

f(-4)=4(-4)⁶-64(-4)⁴+(-4)²-15 = 16384 -16384 +16-15=1

Here we are not getting 0,therefore x+4 is not a factor of the given function