Question #3c600337 - SAT Suite Question Bank

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Test
Math

Domain
Advanced Math

Skill
Nonlinear functions

Difficulty
Medium

ID: 3c600337

Modded SAT Question Bank by Abdullah Mallik

The function $f$ is defined by $f left parenthesis x right parenthesis equals 270 left parenthesis 0.1 right parenthesis Superscript x$ . What is the value of $f left parenthesis 0 right parenthesis$ ?

$0$
$1$
$27$
$270$

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Correct Answer: D

Rationale

Choice D is correct. The value of $f left parenthesis 0 right parenthesis$ is the value of $f (x)$ when $x equals 0$ . Substituting $0$ for $x$ in the given function yields $f left parenthesis 0 right parenthesis equals 270 left parenthesis 0.1 right parenthesis Superscript 0$ , or $f left parenthesis 0 right parenthesis equals 270 left parenthesis 1 right parenthesis$ , which is equivalent to $f left parenthesis 0 right parenthesis equals 270$ . Therefore, the value of $f left parenthesis 0 right parenthesis$ is $270$ .

Choice A is incorrect. This is the value of $x$ , not $f (x)$ .

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

Choice C is incorrect. This is the value of $f left parenthesis 1 right parenthesis$ , not $f left parenthesis 0 right parenthesis$ .

Question Difficulty: Medium

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