Question

Find two non trivial functions
a. f(x)=³√6

b. g(x)=x−8

Answer 1

Two examples of non-trivial functions are a quadratic function, f(x) = x² + 1, which has a parabolic shape, and a trigonometric function, g(x) = sin(x), which oscillates between -1 and 1.

Step-by-step explanation:

To find two non-trivial functions, let's consider what a non-trivial function is. A non-trivial function typically means one that exhibits more complexity than a simple constant function, such as f(x) = c, where c is a constant, and has an input x that actually influences the output. However, without further context, we can create a variety of non-trivial functions. As an example, let's consider:

• a quadratic function, f(x) = x² + 1, which has a parabolic graph and varies based on the input x.
• a trigonometric function, g(x) = sin(x), which oscillates between -1 and 1 and also varies based on the input x.

Both of these functions have unique behaviors and are dependent on the input value of x, making them non-trivial.