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Determine algebraically whether the function is even, odd, or neither even nor odd.
f(x) = 3x4  2x  5
 one year ago
 one year ago
Determine algebraically whether the function is even, odd, or neither even nor odd. f(x) = 3x4  2x  5
 one year ago
 one year ago

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lgbasalloteBest ResponseYou've already chosen the best response.2
there's a shortcut to knowing...just look at the exponents of *every* x. What are the exponents of every x in this case?
 one year ago

logynklodeBest ResponseYou've already chosen the best response.0
4 & 1. would i add them? and its odd?
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.2
nope. remember: any constant is rewritten as cx^0 for example, 1 can be rewritten as 1x^0 2 can be rewritten as 2x^0 so 5 is 5x^0
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.2
so the exponents of x are actually 4, 1 and 0 got it?
 one year ago

logynklodeBest ResponseYou've already chosen the best response.0
yeah i get it. so its even?
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.2
now, look at 4, 1, 0 <are these numbers even, odd or neither?
 one year ago

logynklodeBest ResponseYou've already chosen the best response.0
neither. because 4 even 1s odd
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.2
so this polynomial is neither
 one year ago

logynklodeBest ResponseYou've already chosen the best response.0
thanks, can you help me with a few more?
 one year ago

logynklodeBest ResponseYou've already chosen the best response.0
before that, can you give me an example of an odd function? would that be like f(x) = 5x^6  4x^4  7x^2 ?
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.2
the exponents in this case are 6, 4 and 2..are those numbers odd?
 one year ago

logynklodeBest ResponseYou've already chosen the best response.0
true i meant even lol so that an even function
 one year ago

logynklodeBest ResponseYou've already chosen the best response.0
f(x) = 5x^5  4x^3  7 woul that be odd?
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
it would be except for the 7, which ruins it the degree of a constant is 0, and 0 is an even number
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.2
remember, i said constants have x^0 so 7 is actually 7x^0 0 is not odd
 one year ago

logynklodeBest ResponseYou've already chosen the best response.0
so f(x) = 5x^5  4x^3  7x ?
 one year ago

logynklodeBest ResponseYou've already chosen the best response.0
or f(x) = 5x^7  4x^5  7x^3
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.2
yes one has exponents 7, 5, 3 <all are odd the other is 5,3 ,1 <all are odd
 one year ago

logynklodeBest ResponseYou've already chosen the best response.0
okay. so the next question. Use the graph of f to estimate the local maximum and local minimum
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.2
don't you just look at the "turning points" of that graph?
 one year ago

logynklodeBest ResponseYou've already chosen the best response.0
i thought so, but last tiem i got it wrong so i want to double check.
 one year ago

logynklodeBest ResponseYou've already chosen the best response.0
Local maximum: approx. (1,1.17); local minimum: approx. (2,3.33) ?
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.2
hmm...i'm not a master of graphs so i'm afraid i'll have to ask help from @helder_edwin
 one year ago

logynklodeBest ResponseYou've already chosen the best response.0
alright. theres one more. its graphs too tough. but i have choices, maybe that will help?
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.2
i think answers from @helder_edwin will be more precise
 one year ago

helder_edwinBest ResponseYou've already chosen the best response.0
u r right. u got a local maximum at x=1 and a local minimun at x=2.
 one year ago

logynklodeBest ResponseYou've already chosen the best response.0
alright. i have one more. can you let me know if im correct?
 one year ago

logynklodeBest ResponseYou've already chosen the best response.0
Determine the intervals on which the function is increasing, decreasing, and constant
 one year ago

logynklodeBest ResponseYou've already chosen the best response.0
i got Increasing x > 0; Decreasing x < 0
 one year ago

helder_edwinBest ResponseYou've already chosen the best response.0
no. it is increasing over the entire real line
 one year ago

helder_edwinBest ResponseYou've already chosen the best response.0
always read a graph from left to right.
 one year ago

logynklodeBest ResponseYou've already chosen the best response.0
Increasing on all real numbers?
 one year ago

helder_edwinBest ResponseYou've already chosen the best response.0
@lgbasallote thanks for the referral.
 one year ago
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