Question

Betsy is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect?


f(x) g(x)
graph of the function f of x equals one third times x squared, minus 2
x g(x)
1 1
2 2
3 3
Yes, at positive x-coordinates
Yes, at negative x-coordinates
Yes, at negative and positive x-coordinates
No, they will not intersect
@Directrix

Answer 1

f(x) = (1/3)x^2-2

and can you figure what the g(x) is based on the table you have?

Answer 2

(x is equal to y in every point)

Answer 3

you have points (1,1) , (2,2) and (3,3) (and will have (4,4) (5,5) and on)

there you know that the x is equal to y, every time. so the line is just y=x.

Answer 4

so, g(x)=x

Answer 5

will they intersect?

Set a system of equation:
y = (1/3)x^2-2
y=x

Answer 6

then solve for x, using substitution.

Answer 7

is the answer B then? @SolomonZelman

Answer 8

did you solve the system? how?

Answer 9

I plotted the points and got B

Answer 10

and I didn't get B.

Answer 11

please solve the system/