h(x) = x^2 −3 Which table gives three values of xand their h(x) corresponding values of for the given function h?
Correct answer: B (parsed from the explanation — this source omits an answer key for this item)
Explanation
( ) =2 - Choice B is correct. It′s given that h x x 3. Each table gives 1, 2, and 3 as ( ) =2 - the three given values of x. Substituting 1 for x in the equation h x x 3 ( )=( )2 - =(-) yieldhs 1 1 3h, or 1 2. Substituting 2 for x in the equation ( ) =2 - ( )=( )2 - (=) h x x 3 yielhds 2 2 3, ohr 2 1. Finally, substituting 3 for x in the ( ) =2 - ( )=( )2 - (=) ( ) - equation h x x 3 yielhds 3 3 3, ohr 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 ( ) =2 - h x x 3. Choice C is incorrect. This is a table of values for the function ( )= - ( ) =2 - h x x2 3, not h x x 3. Choice D is incorrect and may result from conceptual or calculation errors.
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