I need help with this question. The graph below is option a. I have options to choose from

In this type of exercise ≥ values mean values that are inside the 'area' that the function is determining.
So the correct answer can only be now A or C because B and D are 'outside' areas.
In the letter A we can choose a point to validate the function. Let's choose the point (6,-4):
[tex]y\ge x^2-7x+10[/tex][tex]-4\ge6^2-7\times6+10[/tex][tex]-4\ge36-42+10[/tex][tex]-4\ge4\text{ !!!}[/tex]Look that this result is impossible. -4 is not greater than 4. This invalidate letter A! Therefore the correct answer will be the letter C.