q ( x ) = 32 ( 2 x ) Which table gives three values of x and their corresponding

Question

q ( x ) = 32 ( 2 x ) Which table gives three values of x and their corresponding values of q ( x ) for function q ?

Accepted Answer

Choice D is correct. Substituting - 1 for x in the given function yields q - 1 = 32 2 - 1 , which is equivalent to q - 1 = 32 1 2 , or q - 1 = 16 . Therefore, when x = - 1 , the corresponding value of q x for function q is 16 . Substituting 0 for x in the given function yields q 0 = 32 2 0 , which is equivalent to q 0 = 32 1 , or q 0 = 32 . Therefore, when x = 0 , the corresponding value of q x for function q is 32 . Substituting 1 for x in the given function yields q 1 = 32 2 1 , which is equivalent to q 1 = 32 2 , or q 1 = 64 . Therefore, when x = 1 , the corresponding value of q x for function q is 64 . Of the choices given, only the table in choice D gives these three values of x and their corresponding values of q x for function q . Choice A is incorrect. This table gives three values of x and their corresponding values of q x for the function q x = 32 2 x . Choice B is incorrect. This table gives three values of x and their corresponding values of q x for the function q x = 2 32 x . Choice C is incorrect and may result from conceptual or calculation errors.

$x$	$negative 1$	$0$	$1$
$q (x)$	$negative 64$	$0$	$64$

$x$	$negative 1$	$0$	$1$
$q (x)$	$\frac{1}{16}$	$2$	$64$

$x$	$negative 1$	$0$	$1$
$q (x)$	$\frac{1}{16}$	$32$	$64$

$x$	$negative 1$	$0$	$1$
$q (x)$	$16$	$32$	$64$

Question 7888cf