Question

How to graph this RATIONAL FUNCTION WITHOUT calculator?

1) (10)/(x^2+2)

PLEASE DO NOT SEND ME LINKS TO THE GRAPHING OF IT!!!

here is the following information that i collected on my own...
holes: none
zeros: none
va: none
nva: y=0
y-int: (0,5)
crosses NVA: none

How do i know the shape of the graph? like how do i use the multiplicity to determine the shape instead of plugging numbers in?

Answer 1

here is what i got so far... how do i find out the other part of the function??

Answer 2

@freckles

Answer 3

i do not understand the multiplicity of this function because the denominator does not give a real number VA

Answer 4

you need to consider negative values of x as well as positive

Answer 5

because the function contains x^2 it will be symetrical about the y axis

Answer 6

how will the graph look at very high and very low values of x?
Can the function ever be negative?

Answer 7

(0,5) is the maximum value - that is correct
this occures when x = 0 and the function = 10/2

Answer 8

you are exactly half right so far....

Answer 9

noe that when x = 1 or x = -1 the value of the function is the same

Answer 10

will multiplicity help me out here though? @welshfella cause that's what i want to do.. but i guess i can plug in points to graph instead.