OG详解-OG4 数学2 Q8

Choice B is correct. It′s given that h(x)= x² -3. Each table gives 1, 2, and 3 as the three given values of x. Substituting 1 for x in the equation h(x)= x²-3 yields h(1)= (1)² -3, or h(1)=-2. Substituting 2 for x in the equation h(x)= x² -3 yields h(2)=(2)² -3, or h(2)=1. Finally, substituting 3 for x in the equation h(x)= x² -3 yields h(3)=(3)² -3, or h(3)= 6. Therefore, h(x) is -2 when x is 1, h(x) is 1 when x is 2, and h(x ) is 6 when x is 3. Choice B is a table with these values of x and their corresponding values of h(x).
Choice A is incorrect. This is a table of values for the function h(x)= x + 3, not h(x)= x² -3. Choice C is incorrect. This is a table of values for the function h(x)= 2x -3, not h(x )= x² -3. Choice D is incorrect and may result from conceptual or calculation errors.