Answer: D. (4,4)
Step-by-step explanation:
1. You have the following expression:
[tex]y\leq x^{2}-3x+2[/tex]
3. To find the point that satifies the expression shown above, you only need to substitute each one of them into the expression, as you can see below:
A. [tex]3\leq 3^{2}-3(3)+2\\3\leq 2[/tex] (This is not true)
B. [tex]2\leq 2^{2}-3(2)+2\\2\leq 0[/tex] (This is not true)
C. [tex]1\leq 1^{2}-3(1)+2\\1\leq 0[/tex] (This is not true)
D. [tex]4\leq 4^{2}-3(4)+2\\4\leq 6[/tex] (This is true)
4. Therefore, the correct answer is the option D, which is: (4,4)
