Question

At how many points does the graph of the function below intersect the x-axis? Y=3x^2-8x+8?

A)0
B)1
C)2

Answer 1

A graph of a function intersects the x-axis at the point (x,0).


`(x,0) \\ y=0 \\ \Downarrow \\ 0=3x^2-8x+8 \\ \\ a=3 \\ b=-8 \\ c=8 \\ \Delta=b^2-4ac=(-8)^2-4 * 3 * 8=64-96=-32`

The discriminant is less than 0, so the equation has no real solutions.
The answer is A. The graph of the function doesn't intersect the x-axis at all.