The interval of x-values over which the function is decreasing is ( - 1,1).
<h3>What is a polynomial?</h3>
In mathematics, a polynomial is an expression that solely uses the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables. It is made up of coefficients and indeterminates.
By differentiating the given function, it is possible to find the range of x-values across which the provided function is decreasing: (-1,1).
Given function is , f(x) = x³ – 3x – 2.
The following steps can be used in order to determine the interval in which the given function is decreasing:-
Step 1 - Write the given function.
f(x) = x³ – 3x – 2.
Step 2 - Now, differentiate the above function with respect to 'x'.
F'(x) = 3x² - 3
Step 3 - Now, equate the above expression to zero.
x² = 1
x = 1 or -1
Therefore, the interval of x-values over which the function is decreasing is ( - 1,1).
To know more about polynomials follow
brainly.com/question/24062595
#SPJ1
