Skip to main content
Ch. 2 - Limits
Briggs - Calculus: Early Transcendentals 3rd Edition
Briggs3rd EditionCalculus: Early TranscendentalsISBN: 9780136847243당신이 사용하는 게 아니라요?교과서 변경
모든 교과서Briggs 3rd EditionCh. 2 - Limits문제 3c
2장, 문제 3c

Use the graph of hh in the figure to find the following values or state that they do not exist. <IMAGE>
h(4)h\(\left\)(4\(\right\))

검증된 단계별 안내
1
Examine the graph of the function \( h(x) \) provided in the image to locate the point where \( x = 4 \).
Identify the corresponding \( y \)-value on the graph at \( x = 4 \). This \( y \)-value is \( h(4) \).
Check if the graph has a defined point at \( x = 4 \). If there is a point, note its \( y \)-coordinate.
If the graph has a hole or discontinuity at \( x = 4 \), then \( h(4) \) does not exist.
Conclude by stating the value of \( h(4) \) if it exists, or confirm that it does not exist based on the graph's behavior at \( x = 4 \).

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
1m

주요 개념

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

Function Evaluation

Function evaluation involves determining the output of a function for a specific input value. In this case, evaluating h(4) means finding the value of the function h when the input is 4. This process typically requires substituting the input into the function's formula or using a graph to identify the corresponding output.
추천 영상:
가이드 코스
4:26
Evaluating Composed Functions

Graph Interpretation

Graph interpretation is the ability to read and analyze graphical representations of functions. It involves understanding the axes, identifying points on the graph, and determining the behavior of the function at specific values. For this question, one must look at the graph of h to find the value of h(4) visually.
추천 영상:
가이드 코스
06:15
Graphing The Derivative

Existence of Function Values

The existence of function values refers to whether a function produces a valid output for a given input. In some cases, a function may not be defined at certain points, leading to the conclusion that a value does not exist. In this question, if the graph does not show a point at x=4, it indicates that h(4) does not exist.
추천 영상:
가이드 코스
06:37
Average Value of a Function
관련 실천
교과서 질문

Use the graph of f in the figure to evaluate the function or analyze the limit. <IMAGE>

lim x→−1^− f(x)

353
views
교과서 질문

Use the graph of hh in the figure to find the following values or state that they do not exist. <IMAGE>

h(2)h\(\left\)(2\(\right\))

355
views
교과서 질문

What does it mean for a function to be continuous on an interval?

618
views
교과서 질문

Use the graph of hh in the figure to find the following values or state that they do not exist. <IMAGE>

limx→4h(x){\(\displaystyle\)\(\lim\)_{x\(\to\)4}h\(\left\)(x\(\right\))}

312
views
교과서 질문

21–30. Derivatives

a. Use limits to find the derivative function f' for the following functions f.

f(x) = 5x+2; a=1, 2

287
views
교과서 질문

Use the graph of f in the figure to evaluate the function or analyze the limit. <IMAGE>

f(−1)

388
views