Skip to main content
Ch. 2 - Functions and Graphs
Blitzer - College Algebra 8th Edition
Blitzer8th EditionCollege AlgebraISBN: 9780136970514Non è quello che usi tu?Cambia libro di testo
Tutti i libri di testoBlitzer 8th EditionCh. 2 - Functions and GraphsProblema 10
Capitolo 3, Problema 10

Evaluate each function at the given values of the independent variable and simplify. (a) f(-2), (b) f(1), (c) f(2)

Guida verificata passo dopo passo
1
Step 1: Understand the problem. You are given a function f(x) and need to evaluate it at specific values of the independent variable x: -2, 1, and 2. This means substituting these values into the function and simplifying the resulting expressions.
Step 2: Substitute x = -2 into the function f(x). Replace every occurrence of x in the function with -2, and simplify the resulting expression.
Step 3: Substitute x = 1 into the function f(x). Replace every occurrence of x in the function with 1, and simplify the resulting expression.
Step 4: Substitute x = 2 into the function f(x). Replace every occurrence of x in the function with 2, and simplify the resulting expression.
Step 5: Write down the simplified results for f(-2), f(1), and f(2). These are the evaluated values of the function at the given points.

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 substituting a specific value for the independent variable in a function. For example, if f(x) = x^2, evaluating f(2) means calculating 2^2, which equals 4. This process is fundamental in understanding how functions behave at different points.
Video consigliato:
4:26
Evaluating Composed Functions

Independent Variable

The independent variable is the input of a function, typically represented by 'x' in mathematical expressions. It is the variable that you can control or change, and its value determines the output of the function. In the question, -2, 1, and 2 are the values of the independent variable for which the function is evaluated.
Video consigliato:
5:54
Probability of Multiple Independent Events

Simplification

Simplification is the process of reducing an expression to its simplest form. This may involve combining like terms, factoring, or reducing fractions. After evaluating the function at the specified values, simplifying the results ensures clarity and conciseness in the final answer.
Video consigliato:
04:15
Multiply Polynomials Using the Distributive Property
Pratica correlata
Domanda del libro di testo

Use the graph of y = f(x) to graph each function g.

g(x) = ½ f(x)

1721
views
Domanda del libro di testo

Use the graph of y = f(x) to graph each function g.

g(x) = -f(x) +3

779
views
Domanda del libro di testo

Find f(g(x)) and g (f(x)) and determine whether each pair of functions ƒ and g are inverses of each other. f(x) = ∛(x − 4) and g(x) = x³ +4

609
views
Domanda del libro di testo

Use the graph of y = f(x) to graph each function g.

g(x) = f(-x)+3

1044
views
Domanda del libro di testo

Find the domain of each function. f(x) = 1/(x+7) + 3/(x-9)

1256
views
Domanda del libro di testo

Use the given conditions to write an equation for each line in point-slope form and general form. Passing through (−2, 2) and parallel to the line whose equation is 2x-3y-7=0

1181
views