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Ch. 2 - Graphs and Functions
Lial - College Algebra 13th Edition
Lial13th EditionCollege AlgebraISBN: 9780136881063당신이 사용하는 게 아니라요?교과서 변경
모든 교과서Lial 13th EditionCh. 2 - Graphs and Functions문제 49a
3장, 문제 49a

Choose the correct answer: For function ƒ, the notation ƒ(3) means
A. the variable f times 3, or 3f.
B. the value of the dependent variable when the independent variable is 3.
C. the value of the independent variable when the dependent variable is 3.
D. f equals 3.

검증된 단계별 안내
1
Understand that the notation \( f(3) \) represents the function \( f \) evaluated at the input value 3.
Recall that in a function, the independent variable (often \( x \)) is the input, and the dependent variable (often \( y \) or \( f(x) \)) is the output.
Recognize that \( f(3) \) means we substitute 3 into the function as the input and find the corresponding output value.
Therefore, \( f(3) \) is the value of the dependent variable when the independent variable is 3.
This matches option B: 'the value of the dependent variable when the independent variable is 3.'

주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Function Notation

Function notation, written as ƒ(x), represents the output value of the function ƒ when the input is x. It is a way to denote the dependent variable as a function of the independent variable, making it clear which value is being evaluated.
추천 영상:
05:18
Interval Notation

Independent and Dependent Variables

In a function, the independent variable is the input value you choose, often represented by x, while the dependent variable is the output value, often represented by ƒ(x). The dependent variable depends on the independent variable's value.
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5:54
Probability of Multiple Independent Events

Evaluating a Function at a Specific Input

Evaluating a function at a specific input means substituting the input value into the function to find the corresponding output. For example, ƒ(3) means finding the output when the input is 3, not multiplying f by 3.
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Evaluating Composed Functions
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