Use the graph to find the local minimum and the local maximum for the given function
1 answer:
The local minimum on the interval [-3, 0] is -16, the local maximum on the interval [0, 3] is 4 and the local minimum on the interval [0, 3] is -3
<h3>What is a local minimum?</h3>In a function, a point located at the local minimum is a point that is at a lower coordinate compared to the other neighboring points
<h3>What is a local maximum?</h3>In a function, a point located at the local maximum is a point that is at a higher coordinate compared to the other neighboring points
<h3>How to determine the local minimum and the local maximum?</h3>The complete question is added as an attachment
In the first interval, [-3, 0], the lowest point in the interval is located at (-16, -1.5)
This means that the local minimum on the interval [-3, 0] is -16
In the second interval, [0, 3], the highest maximum in the interval is located at (4, 1)
This means that the local maximum on the interval [0, 3] is 4
In the second interval, [0, 3], the lowest minimum in the interval is located at (0, -3)
This means that the local minimum on the interval [0, 3] is -3
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Answer with Step-by-step explanation:
We are given that
Compare with the equation of circle
Where center of circle=(h,k)
r=Radius of circle
a.Center of circle=(0,0)
Radius= units
Center of second circle=(3,3)
Radius of second circle= units
b.Distance formula:
Using the formula
The distance between the centers of two circle
=
Hence, the distance between the centers of two circle = units.
c.
Substitute x=-1 and -1
The circle must be tangent because there is just one point (-1,-1) is common in both circles and satisfied the equations of circle.
