which of the following gives an example of a function that is not linear

Answer 1

To determine whether a function is linear or not, you need to look for certain characteristics. A linear function can be expressed in the form \( y = mx + b \), where \( m \) and \( b \) are constants, and its graph is a straight line.

Here are some examples of functions that are not linear:

1. Quadratic Function: \( f(x) = x^2 \)

   • This function produces a parabolic graph.

2. Cubic Function: \( f(x) = x^3 \)

   • This function produces an S-shaped graph.

3. Exponential Function: \( f(x) = 2^x \)

   • This function grows exponentially and does not graph as a straight line.

4. Trigonometric Function: \( f(x) = \sin(x) \)

   • This function produces a wave-like graph.

5. Root Function: \( f(x) = \sqrt{x} \)

   • This function has a curved graph that does not represent a straight line.

If you provide specific functions, I can tell you which ones are linear and which are not. If you're looking for an example from a list, please share the functions with me!