Question

The graphs of y=x2- 3 and y = 3x -4 intersect at

approximately
1) (0.38,-2.85), only
2) (2.62,3.85), only
3) (0.38, -2.85) and (2.62,3.85)
4) (0.38, -2.85) and (3.85,2.62)

Answer 1

Option 3) (0.38, -2.85) and (2.62,3.85)

Explanation:

we have

`y=x^(2)-3` ----> equation A

`y=3x-4` ----> equation B

Solve the system by graphing

Remember that the solution of the system of equations is the intersection point both graphs

using a graphing tool

The intersection points are (0.38,-2.85) and (2.62,3.85)

see the attached figure

therefore

The graphs intersect approximately at (0.38,-2.85) and (2.62,3.85)