A graph of a function intersects the x-axis at the point (x,0).
[tex](x,0) \\
y=0 \\ \Downarrow \\
0=3x^2-8x+8 \\ \\
a=3 \\
b=-8 \\
c=8 \\
\Delta=b^2-4ac=(-8)^2-4 \times 3 \times 8=64-96=-32[/tex]
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.
