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4 & 1.
would i add them? and its odd?

so the exponents of x are actually 4, 1 and 0
got it?

alright

yeah i get it. so its even?

now, look at 4, 1, 0 <--are these numbers even, odd or neither?

neither. because 4 even 1s odd

right,

so this polynomial is neither

great!

thanks, can you help me with a few more?

sure

the exponents in this case are 6, 4 and 2..are those numbers odd?

true i meant even lol
so that an even function

yes

f(x) = -5x^5 - 4x^3 - 7
woul that be odd?

it would be except for the 7, which ruins it
the degree of a constant is 0, and 0 is an even number

remember, i said constants have x^0 so 7 is actually 7x^0
0 is not odd

so f(x) = -5x^5 - 4x^3 - 7x ?

or f(x) = -5x^7 - 4x^5 - 7x^3

both

both are odd?

yes
one has exponents 7, 5, 3 <--all are odd
the other is 5,3 ,1 <--all are odd

okay. so the next question.
Use the graph of f to estimate the local maximum and local minimum

don't you just look at the "turning points" of that graph?

i thought so, but last tiem i got it wrong so i want to double check.

Local maximum: approx. (-1,1.17); local minimum: approx. (2,-3.33) ?

hmm...i'm not a master of graphs so i'm afraid i'll have to ask help from @helder_edwin

alright. theres one more. its graphs too tough. but i have choices, maybe that will help?

i think answers from @helder_edwin will be more precise

alright

u r right. u got a local maximum at x=-1 and a local minimun at x=2.

alright. i have one more. can you let me know if im correct?

fire away.

Determine the intervals on which the function is increasing, decreasing, and constant

i got Increasing x > 0; Decreasing x < 0

no. it is increasing over the entire real line

always read a graph from left to right.

Increasing on all real numbers?

yes.

thank you!

u r welcome

@lgbasallote thanks for the referral.