Linear functions SAT question

Math · Algebra · Medium · Answer it here, explanation included.

$f (x) = 39$

For the given linear function $f$ , which table gives three values of $x$ and their corresponding values of $f (x)$ ?

$x$	$f (x)$
$0$	$0$
$1$	$0$
$2$	$0$

$x$	$f (x)$
$0$	$39$
$1$	$39$
$2$	$39$

$x$	$f (x)$
$0$	$0$
$1$	$39$
$2$	$78$

$x$	$f (x)$
$0$	$39$
$1$	$0$
$2$	$- 39$

ExplanationShow

Choice B is correct. For the given linear function $f$ , $f (x)$ must equal $39$ for all values of $x$ . Of the given choices, only choice B gives three values of $x$ and their corresponding values of $f (x)$ for the given linear function $f$ .

Choice A is incorrect and may result from conceptual errors.

Choice C is incorrect and may result from conceptual errors.

Choice D is incorrect and may result from conceptual errors.

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