Domanda del libro di testo
Use the graphs of f and g to evaluate each composite function.
(fog) (-1)
1927
views
Ch. 2 - Functions and Graphs
Blitzer8th EditionCollege AlgebraISBN: 9780136970514
Non è quello che usi tu?Cambia libro di testoScegli un libro di testo diverso
TOC.tableOfContents
- Ch. P - Fundamental Concepts of Algebra311
- Ch. 1 - Equations and Inequalities398
- Ch. 2 - Functions and Graphs407
- Ch. 3 - Polynomial and Rational Functions306
- Ch. 4 - Exponential and Logarithmic Functions247
- Ch. 5 - Systems of Equations and Inequalities173
- Ch. 6 - Matrices and Determinants143
- Ch. 7 - Conic Sections124
- Ch. 8 - Sequences, Induction, and Probability251
Capitolo 3, Problema 91
In Exercises 77–92, use the graph to determine a. the function's domain; b. the function's range; c. the x-intercepts, if any; d. the y-intercept, if any; and e. the missing function values, indicated by question marks, below each graph.
Guida verificata passo dopo passo1
Identify the domain by listing all the x-coordinates of the points on the graph. The domain consists of the x-values where the function is defined.
Determine the range by listing all the y-coordinates of the points on the graph. The range consists of the y-values that the function takes.
Find the x-intercepts by checking where the graph crosses the x-axis. These are points where the y-coordinate is zero.
Find the y-intercept by checking where the graph crosses the y-axis. This is the point where the x-coordinate is zero.
For the missing function values indicated by question marks, use the given points to match the x-values with their corresponding y-values from the graph.
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:
3mConcetti chiave
Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.
Domain of a Function
The domain of a function is the set of all possible input values (x-values) for which the function is defined. In a graph, the domain corresponds to the horizontal extent of the plotted points or curve. Identifying the domain involves listing all x-coordinates of the points shown.
Video consigliato:
3:51
Domain Restrictions of Composed Functions
Range of a Function
The range of a function is the set of all possible output values (y-values) that the function can produce. On a graph, the range corresponds to the vertical spread of the points or curve. To find the range, list all y-coordinates of the points on the graph.
Video consigliato:
4:22Domain & Range of Transformed Functions
Intercepts of a Function
Intercepts are points where the graph crosses the axes. The x-intercepts occur where the function's output is zero (y=0), and the y-intercept occurs where the input is zero (x=0). Identifying intercepts helps understand the function's behavior and is done by checking points on the axes.
Video consigliato:
04:08Graphing Intercepts
Pratica correlata
Domanda del libro di testo
Begin by graphing the absolute value function, f(x) = |x|. Then use transformations of this graph to graph the given function. g(x) = -|x + 4| +2
1076
views
Domanda del libro di testo
Use the graphs of f and g to solve Exercises 83–90.
Graph f-g.
2213
views
Domanda del libro di testo
In Exercises 77–92, use the graph to determine a. the function's domain; b. the function's range; c. the x-intercepts, if any; d. the y-intercept, if any; and e. the missing function values, indicated by question marks, below each graph.
154
views
Domanda del libro di testo
Use the graphs of f and g to evaluate each composite function.
(go f) (0)
1870
views
Domanda del libro di testo
Begin by graphing the absolute value function, f(x) = |x|. Then use transformations of this graph to graph the given function. h(x) = 2|x+3|
843
views