Wait just a second, what's the radius of the circle anyway?
well, the radius is the segment going from the center of the circle to the circle itself, well, low and behold, if we just get the distance from those two points, that gives us the radius.
Answer:
x f(x) g(x)
-2 6 1/9
-1 10 1/3
0 14 1
1 18 3
2 22 9
Step-by-step explanation:
Model for a linear function:
f(x) = ax + b
Using the points (-2, 6) and (0,14), we can find the values of a and b:
6 = -2a + b
14 = 0a + b
b = 14
From the first equation:
6 = -2a + 14
2a = 8
a = 4
So we have that f(x) = 4x + 14
Now we find the values of f(x) for x = -1, x = 1 and x = 2:
f(-1) = -4 + 14 = 10
f(1) = 4 + 14 = 18
f(2) = 8 + 14 = 22
Model for exponencial equation:
g(x) = a*b^x
Using the points (-2, 1/9) and (-1,1/3), we can find the values of a and b:
1/9 = a*b^(-2)
1/3 = a*b^(-1)
Dividing the second equation by the first, we have:
b = (1/3) / (1/9) = 3
From the second equation:
1/3 = a * b^(-1)
1/3 = a * 1/3
a = 1
So we have that:
g(x) = 3^x
Now we find the values of g(x) for x = 0, x = 1 and x = 2:
g(0) = 3^0 = 1
g(1) = 3^1 = 3
g(2) = 3^2 = 9
They are intersecting at 0,0.
One square on that chart is 2 units.
You can see this since it goes -10 then skips one then goes to -6.
The one in between is -8.
On every side of the intersection there is a 2 or -2.
2 - 2 or -2 + 2, depending if it's positive or negative, is 0.
So the lines are intersecting at 0,0.
Hope this helps! :)
The answers is A
Explanation ;)