Question
17 of 2017 of 20 Items
Question
Given the function f(x)=4x3−x
, which of the following describes its domain?(1 point)
Responses
(4, ∞)
(4, ∞)
(−4, 4)
(−4, 4)
(−∞, 4)
(−∞, 4)
(−∞, ∞)
Question
Given the function f(x)=4x3−x
, which of the following describes its domain?(1 point)
Responses
(4, ∞)
(4, ∞)
(−4, 4)
(−4, 4)
(−∞, 4)
(−∞, 4)
(−∞, ∞)
Answers
GPT-4o mini
To determine the domain of the function \( f(x) = 4x^3 - x \), we need to consider possible restrictions on the values of \( x \).
1. The expression \( 4x^3 - x \) is a polynomial function. Polynomial functions are defined for all real numbers because they do not have any restrictions such as division by zero or square roots of negative numbers.
Thus, the domain of the given function \( f(x) = 4x^3 - x \) is:
\[
(-\infty, \infty)
\]
The correct response is:
**(−∞, ∞)**
1. The expression \( 4x^3 - x \) is a polynomial function. Polynomial functions are defined for all real numbers because they do not have any restrictions such as division by zero or square roots of negative numbers.
Thus, the domain of the given function \( f(x) = 4x^3 - x \) is:
\[
(-\infty, \infty)
\]
The correct response is:
**(−∞, ∞)**