Question

Terri is analyzing a circle, y2 + x2 = 36, and a linear function g(x). Will they intersect?


y2 + x2 = 36 g(x)

x g(x)
-4 -4
-2 -2
2 2

Answer 1

@arabpride

Answer 2

Instead of calling it g(x), let's call it y

so looking at the table, what do you notice about x and y?

Answer 3

oh so we just plug it?

Answer 4

well you don't need to plug it, cause you already have the values there in the table

so if x=-4 and g(x)=-4
and x=-2 and d(x)=-2
what can you tell me about g(x) when x equals a particular number? ie what will g(x) be?

Answer 5

the same?

Answer 6

exactly!
so x=g(x)

or if we call g(x) =y we know the line will be y=x
what does the line y=x look like?

Answer 7

straight

Answer 8

okay, will it go through the origin?

Answer 9

nope

Answer 10

are you sure?
if the line is y=x
if x=0 what will y be?
if y=0 what will x be?

try drawing it (or roughly sketching it)

Answer 11

it does but only in the positve?

Answer 12

it does in the negative too!
so we have
x=y

x y
3 3
2 2
1 1
0 0
-1 -1
-2 -2
-3 -3

Answer 13

so it looks like this

Answer 14

ok it will intersect at positive and negative

Answer 15

yep, so if you have a circle it'll just look like this

sorry for the terrible drawing lol

Answer 16

THANK YOU!!

Answer 17

you're welcome dear

Answer 18

you're wrong , Yes, at negative x-coordinates or zero .. just took the test and my answer was right .. 100% sure