Question #aad7e1b9 - SAT Suite Question Bank

ID: aad7e1b9

Modded SAT Question Bank by Abdullah Mallik

The function $f$ is defined by $f (x) = \frac{1}{10} x - 2$ . What is the y-intercept of the graph of $y = f (x)$ in the xy-plane?

$left parenthesis negative 2 comma 0 right parenthesis$
$left parenthesis 0 comma negative 2 right parenthesis$
$left parenthesis 0 comma one tenth right parenthesis$
$left parenthesis one tenth comma 0 right parenthesis$

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Correct Answer: B

Rationale

Choice B is correct. The y-intercept of the graph of a function in the xy-plane is the point on the graph where $x equals 0$ . It′s given that $f (x) = \frac{1}{10} x - 2$ . Substituting $0$ for $x$ in this equation yields $f (0) = \frac{1}{10} (0) - 2$ , or $f (0) = - 2$ . Since it′s given that $y = f (x)$ , it follows that $y = - 2$ when $x equals 0$ . Therefore, the y-intercept of the graph of $y = f (x)$ in the xy-plane is $left parenthesis 0 comma negative 2 right parenthesis$ .

Choice A is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.

Question Difficulty: Easy