Find the minimum value of the function f(x)=0.1x^2-x+8.1f(x)=0.1x 2 −x+8.1 to the nearest hundredth.

The minimum value of the function is 5.6.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

It's vertex is the point

In which

Where

If a<0, the vertex is a maximum point, that is, the maximum value happens at , and it's value is .

If a > 0, then is the minimum value of the function.

In this question:

We are given the following function:

Which is a quadratic function with .

To find the minimum value, we have that:

The minimum value of the function is 5.6.

the correct answer is 1: 2

step-by-step explanation:

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