High School

The graph of the function \( f(x) \) is shown below. At which value of \( x \) is the slope of the tangent line to the curve equal to \(-2\)?

Answer :

Final answer:

To find the value of x at which the slope of the tangent line to the curve is equal to -2, we need to find the derivative of the function and set it equal to -2. Without a specific function or graph provided, it is not possible to determine the value of x.

Explanation:

To find the value of x at which the slope of the tangent line to the curve is equal to -2, we need to examine the graph of the function f(x). The slope of the tangent line at any point on the graph is equal to the derivative of the function at that point. So, we need to find the derivative of f(x) and set it equal to -2 to solve for x.

Let's denote the derivative of f(x) as f'(x). Once we find f'(x), we can set it equal to -2 and solve for x. This will give us the x-coordinate at which the slope of the tangent line is -2.

It's important to note that without a specific function or graph provided, it is not possible to determine the value of x at which the slope is -2.

Learn more about slope of tangent line here:

https://brainly.com/question/34624396

#SPJ11