The function y = 3x³ - 16x + 2 is decreasing for x > 0 and increasing for x < 0so none of the option are correct.
What is a function?
A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.
To check whether the function is increasing or decreasing we can use the derivative test.
If the value of the double derivative at stationary points is negative then the function will be increasing and if it is positive then the function will be decreasing.
So,
y ' = 0
9x² - 16 = 0 ⇒ x = +4/3 and -4/3
Now,
y'' = 18x
It means for every x >0 it will be decreasing and for every x < 0 it is increasing.
For more about the function,
brainly.com/question/23712366
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