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

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

logynklode
 2 years ago
Best ResponseYou've already chosen the best response.04 & 1. would i add them? and its odd?

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.2nope. 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

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

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

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

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

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

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

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

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

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

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

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1it would be except for the 7, which ruins it the degree of a constant is 0, and 0 is an even number

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

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

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

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

logynklode
 2 years ago
Best ResponseYou've already chosen the best response.0okay. so the next question. Use the graph of f to estimate the local maximum and local minimum

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

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

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

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

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

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

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

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

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

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

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

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

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

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