bewellplus.gsu.edu
logo88
logo88 logo88
  • 19-07-2014
  • Mathematics
Answered

if n is a positive integer, for what values of n is the function f(x) =x to the power of n

a) even

b) odd

Verified Answer :

konrad509
konrad509 konrad509
  • 19-07-2014
An is even
b) n is odd
Answer Link
Anonymous Anonymous
  • 19-07-2014

\(f(x)=x^n;\ n\in\mathbb{Z^+}\\\\ function\ is\ even\ when\ f(-x)=f(x)\\\\function\ is\ odd\ when\ f(-x)=-f(x)\\\\a)\ f(x)\ is\ even\ when\ n\ is\ even:f(-x)=(-x)^n=x^n=f(x)\\\\b)\ f(x)\ is\ odd\ when\ n\ is\ odd:f(-x)=(-x)^n=-x^n=-f(x)\)

Answer Link

Related Questions

What is the density of glycerol in gcm3
Plllllllzzzzzz help me in my french homework
is an organisms genetic makeup behind the scenes A Phenotype B Genetics C Genotype D Gene
Who is the author to Palace of Mirrors
What is 85 as a decimal
What was the main reason European countries set up colonies
If the absolute temperature of a gas is 600 K the temperature in degrees Celsius is A 273C B 705C C 327C D 873C
Which is an intentionalunpreventable injury Asuicide Bdrowning cterrorist attack dinjury from a plane crash
Auto BullsEye offers a 10minute oil change and 30minute brake check There are two technicians who perform each of these services Next week the shop is offering
how well does the Constitution strike a balance of authority among the three branches of government