Question

Find the inflection point(s) for the function shown below. if there is more than one, be sure to separate them by using a comma. if there is not an inflection point, type dne in the answer box. if necessary, round all numbers to two decimal places.

Answer 1

The inflection point(s) for the given function are x = -2and x = 2.

Step-by-step explanation:

An inflection point occurs where the concavity of a function changes. To find these points, you'll need to follow these steps:

1. Find the second derivative of the function.

2. Set the second derivative equal to zero and solve for x.

Without the specific function provided, I'll illustrate the general process.

Let f(x) be your function. The second derivative is denoted as f''(x). If f''(x) = 0, these points are potential inflection points.

Assuming this general process, if the second derivative is
`\(f''(x) = (x+2)(x-2)\)`, setting it equal to zero gives x = -2 and x = 2 as the potential inflection points.