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logynklode
Group Title
Determine algebraically whether the function is even, odd, or neither even nor odd.
f(x) = 3x4  2x  5
 2 years ago
 2 years ago
logynklode Group Title
Determine algebraically whether the function is even, odd, or neither even nor odd. f(x) = 3x4  2x  5
 2 years ago
 2 years ago

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lgbasallote Group TitleBest 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?
 2 years ago

logynklode Group TitleBest ResponseYou've already chosen the best response.0
4 & 1. would i add them? and its odd?
 2 years ago

lgbasallote Group TitleBest 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
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
so the exponents of x are actually 4, 1 and 0 got it?
 2 years ago

logynklode Group TitleBest ResponseYou've already chosen the best response.0
yeah i get it. so its even?
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
now, look at 4, 1, 0 <are these numbers even, odd or neither?
 2 years ago

logynklode Group TitleBest ResponseYou've already chosen the best response.0
neither. because 4 even 1s odd
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
so this polynomial is neither
 2 years ago

logynklode Group TitleBest ResponseYou've already chosen the best response.0
thanks, can you help me with a few more?
 2 years ago

logynklode Group TitleBest 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 ?
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
the exponents in this case are 6, 4 and 2..are those numbers odd?
 2 years ago

logynklode Group TitleBest ResponseYou've already chosen the best response.0
true i meant even lol so that an even function
 2 years ago

logynklode Group TitleBest ResponseYou've already chosen the best response.0
f(x) = 5x^5  4x^3  7 woul that be odd?
 2 years ago

satellite73 Group TitleBest 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
 2 years ago

lgbasallote Group TitleBest 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
 2 years ago

logynklode Group TitleBest ResponseYou've already chosen the best response.0
so f(x) = 5x^5  4x^3  7x ?
 2 years ago

logynklode Group TitleBest ResponseYou've already chosen the best response.0
or f(x) = 5x^7  4x^5  7x^3
 2 years ago

logynklode Group TitleBest ResponseYou've already chosen the best response.0
both are odd?
 2 years ago

lgbasallote Group TitleBest 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
 2 years ago

logynklode Group TitleBest 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
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
don't you just look at the "turning points" of that graph?
 2 years ago

logynklode Group TitleBest ResponseYou've already chosen the best response.0
i thought so, but last tiem i got it wrong so i want to double check.
 2 years ago

logynklode Group TitleBest ResponseYou've already chosen the best response.0
Local maximum: approx. (1,1.17); local minimum: approx. (2,3.33) ?
 2 years ago

lgbasallote Group TitleBest 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
 2 years ago

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

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
i think answers from @helder_edwin will be more precise
 2 years ago

logynklode Group TitleBest ResponseYou've already chosen the best response.0
@helder_edwin ?
 2 years ago

helder_edwin Group TitleBest 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.
 2 years ago

logynklode Group TitleBest ResponseYou've already chosen the best response.0
alright. i have one more. can you let me know if im correct?
 2 years ago

helder_edwin Group TitleBest ResponseYou've already chosen the best response.0
fire away.
 2 years ago

logynklode Group TitleBest ResponseYou've already chosen the best response.0
Determine the intervals on which the function is increasing, decreasing, and constant
 2 years ago

logynklode Group TitleBest ResponseYou've already chosen the best response.0
i got Increasing x > 0; Decreasing x < 0
 2 years ago

helder_edwin Group TitleBest ResponseYou've already chosen the best response.0
no. it is increasing over the entire real line
 2 years ago

helder_edwin Group TitleBest ResponseYou've already chosen the best response.0
always read a graph from left to right.
 2 years ago

logynklode Group TitleBest ResponseYou've already chosen the best response.0
Increasing on all real numbers?
 2 years ago

logynklode Group TitleBest ResponseYou've already chosen the best response.0
thank you!
 2 years ago

helder_edwin Group TitleBest ResponseYou've already chosen the best response.0
u r welcome
 2 years ago

helder_edwin Group TitleBest ResponseYou've already chosen the best response.0
@lgbasallote thanks for the referral.
 2 years ago
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