I need help checking this Review Problems Worksheet, I have done all of them but 10c., I need them checked to make sure I've done them correctly and accurately.

Question

firejay5 · Answer

attachment

amistre64 · Answer

7b and 9b need to be redone

firejay5 · Answer

How my teacher said something about if they were odd degree polynomial then it faces the same direction but if it's going in oppositite directions then it's a even degree polynomial

amistre64 · Answer

an odd function has the poroperty:

f(-x) = -f(x)

one of the visual characteristics of this is that the graph is 'mirrored' thru the origin.

the basic example of an odd function is y=x,  another is y=x^3

amistre64 · Answer

opposite directions yes;  BUT opposite while going thru the origin.

amistre64 · Answer

odd functions satisfiy:  f(-x) = -f(x)

take y = (x-1)^3

this is a shifted verion of y=x^3 that does NOT go thru the origin

f(1) = (1-1)^3 = 0
f(-1) = (-2)^3 = -8,  they are completely different numbers so the function cant be odd.

f(-1) does not equal -f(1)  does it?

amistre64 · Answer

lets test y = x^3

f(1) =     (1)^3 = 1

f(-1) = (-1)^3 = -(1)^3 = -1

f(-1) = -f(1)

amistre64 · Answer

an odd function HAS to go thru the origin, at least .... and 7 and 9 simply do not

amistre64 · Answer

3x^2 - 6x = 0

3x(x-2) = 0

you graph of 10 seems fair enough, and the relative min max would be your hill and valley points ... at 0 and 2