Skip to main content
Ch. 2 - Limits
Briggs - Calculus: Early Transcendentals 3rd Edition
Briggs3rd EditionCalculus: Early TranscendentalsISBN: 9780136847243Non è quello che usi tu?Cambia libro di testo
Tutti i libri di testoBriggs 3rd EditionCh. 2 - LimitsProblema 3c
Capitolo 2, Problema 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\(\right\))

Guida verificata passo dopo passo
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 \( x = 4 \).

Risposta video verificata per un problema simile:

Questa soluzione video è stata consigliata dai nostri tutor come utile per risolvere questo problema.
Durata del video:
1m

Concetti chiave

Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.

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.
Video consigliato:
Percorso guidato
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.
Video consigliato:
Percorso guidato
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.
Video consigliato:
Percorso guidato
06:37
Average Value of a Function
Pratica correlata
Domanda del libro di testo

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

lim x→−1^− f(x)

353
views
Domanda del libro di testo

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
Domanda del libro di testo

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

618
views
Domanda del libro di testo

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
Domanda del libro di testo

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
Domanda del libro di testo

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

f(−1)

389
views