Answer:
The correct option is C) Yes, at negative and positive x coordinates
Step-by-step explanation:
Consider the provided equation of circle.
[tex]y^2 + x^2 = 64[/tex]
The equation of circle centered at origin is: [tex]y^2 + x^2 = r^2[/tex]
Where r is the radius.
Now the provided equation can be written as:
[tex]y^2 + x^2 = 8^2[/tex]
Thus the above equation is the equation of circle with center at origin and radius is 8 unit.
Now draw a circle with center at origin and radius is 8 unit.
Now consider the linear function g(x).
The points are given as:
G(x) is:
x g(x)
-1 -4.5
0 -4
1 -3.5
Use these points to draw the graph of the linear function.
The required graph is shown in figure 1.
From the figure 1 it can be concluded that linear function intersect the circle at (8,0) and (-4.8,-6.4).
(8,0) represents the positive x coordinate while (-4.8,-6.4) represents the negative x coordinate.
Hence, the correct option is C) Yes, at negative and positive x coordinates.
