Question

precalc power functions HELP!!!!!!!!
HOW DO EACH OF TEH FOLLOWING RESTRICTIONS AFFTED THE GRAPH OF f(x)=k x^n where k is any real number and n is a positive integer?
k<0
k>0
n is odd
n is even
0 14 years ago

Answer 1

affect**

Answer 2

Okay, working on it.

Answer 3

thank you

Answer 4

hello?

Answer 5

Odd and even is easy. Even N = parabola-esque, Odd N = cubic-esque. Do you know what I mean when I say that?

Answer 6

no i dont sry

Answer 7

Okay, explanation incoming:

Answer 8

thx

Answer 9

Also, http://graphsketch.com/ might help you out.

But the explanation...

Answer 10

http://graphsketch.com/x%5E2,x%5E3,x%5E.5,x%5E-2,x%5E-3
Here's a bit of a visual aid. Describing graphs in words is hard unless you want me to start using calculus.

Answer 11

if k < 0 , inverted U shaped parabola
if k > 0 , U shaped parabola
if n is odd
if n=1 straight line
n=3

if is even
if n=2 parabola

if 0<k<1 , vertex is at origin

Answer 12

thank you so so much

Answer 13

and how do u describe the curve thing u drew for odd n

Answer 14

Augh. Should have though of the Draw command. Shanna got it right...Take it from here! :D

Answer 15

wait how do u desribe the thing that was drawn

Answer 16

??

Answer 17

Okay, since apparently Shanna walked off...

The one she drew, for n = 3, is a cubic. I don't know the word to describe them in general: it's been a long time since Algebra II! ^^;

Answer 18

oh ok..pre-calc btw

Answer 19

See what I mean? It's been ages. ^^; Are you guys doing limits yet?

Answer 20

no its only the 3rd day of school

Answer 21

whats an inverted u shape

Answer 22

Inverted = turned upside down.