교과서 질문
For each function, find (a)ƒ(x+h), (b)ƒ(x+h)-ƒ(x), and (c)[ƒ(x+h)-ƒ(x)]/h.See Example 4.
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Ch. 2 - Graphs and Functions
Lial13th EditionCollege AlgebraISBN: 9780136881063
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Table of contents
3장, 문제 49c
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 안내1
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's value corresponding to a specific independent variable.
추천 영상:
05:18
Interval Notation
Independent and Dependent Variables
In a function, the independent variable is the input value you choose, while the dependent variable is the output determined by the function. For example, in ƒ(3), 3 is the independent variable, and ƒ(3) is the dependent variable's value.
추천 영상:
5:54Probability of Multiple Independent Events
Evaluating a Function
Evaluating a function means substituting a specific input value into the function to find the corresponding output. For instance, ƒ(3) means find the value of the function when the input is 3.
추천 영상:
4:26Evaluating Composed Functions
관련 실천
교과서 질문
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.
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교과서 질문
Find the slope of each line, provided that it has a slope. through (8, 7) and (1/2, -2)
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교과서 질문
For each function, find (a)ƒ(x+h), (b)ƒ(x+h)-ƒ(x), and (c)[ƒ(x+h)-ƒ(x)]/h. ƒ(x)=1/x
954
views
교과서 질문
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.
38
views
교과서 질문
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.
25
views