h x = x 2 - 3 Which table gives three values of x and their corresponding values of h

Question

h x = x 2 - 3 Which table gives three values of x and their corresponding values of h x for the given function h ?

Accepted Answer

Choice B is correct. It&prime;s given that h x = x 2 - 3 . Each table gives 1 , 2 , and 3 as the three given values of x . Substituting 1 for x in the equation h x = x 2 - 3 yields h 1 = 1 2 - 3 , or h 1 = - 2 . Substituting 2 for x in the equation h x = x 2 - 3 yields h 2 = 2 2 - 3 , or h 2 = 1 . Finally, substituting 3 for x in the equation h x = x 2 - 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 = x 2 - 3 . Choice C is incorrect. This is a table of values for the function h x = 2 x - 3 , not h x = x 2 - 3 . Choice D is incorrect and may result from conceptual or calculation errors.

$x$	$1$	$2$	$3$
$h (x)$	$4$	$5$	$6$

$x$	$1$	$2$	$3$
$h (x)$	$negative 2$	$1$	$6$

$x$	$1$	$2$	$3$
$h (x)$	$negative 1$	$1$	$3$

$x$	$1$	$2$	$3$
$h (x)$	$negative 2$	$1$	$3$

Question h-x-x-