What is the minimum value for g(x)=x2−10x+16?
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y =

Step-by-step explanation:

The given function is

As you can notice, this is a quadratic function. That means its graphic behaviour is a parabola.

So, a parabola has a minimum or maximum, in either case, that point is the vertex. That means we need to find the vertex of this function and its vertical coordinate will be the minimum.

The vertex has coordinates of , where , and .

Replacing each value, we have

The other coordinate is defined as , that is, we need to replace the number 5 in the function to obtain k

Therefore, the minimum is at

step-by-step :

answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.