Question

Sally is analyzing a circle, y2 + x2 = 9, and a linear function g(x). Will they intersect? y2 + x2 = 9 g(x) graph of the function y squared plus x squared equals 9 x g(x) −2 −1 1 1 4 3

Answer 1

Both graphs intersect at negative and positive x-coordinates.

Explanation:

Given : Sally is analyzing a circle,
`y^2 + x^2 = 9` and a linear function g(x), g(x) (-2,-1) (1,1) (4,3)

To find : Will they intersect?

Solution :

Equation of the circle
`y^2 + x^2 = 9` with center at the origin and radius equal to 3 units.

g(x) is a linear function given by a points

g(x)→ (-2,-1) (1,1) (4,3)

Plot the graph of the circle and the three points of the linear function g(x)

Refer the attached figure below.

Both graphs intersect at negative and positive x-coordinates.