For each of the numbers a, b, c, d, r, and s, state whether the function whose graph is shown has an absolute maximum or minimum, a local maximum or minimum, or neither a maximum nor a minimum. (Enter your answers as a comma-separated list.)

For each of the numbers a b c d r and s state whether the function whose graph is shown has an absolute maximum or minimum a local maximum or minimum or neither class=

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enter the following:

s

a;r

b

c

d

if you got question on how to determine these, just ask :)

For each of the given numbers a, b, c, d, r, and s in the graph given, we can say that;

Absolute Minimum = r

Absolute Maximum = s

Local maximum = c

Local minimum = b, r

Neither a maximum or minimum = b

  • The absolute minimum and absolute maximum on a graph function curve are the coordinates of  the lowest and highest points on the curve respectively.

On this graph, the x - coordinate of the highest point is s while the lowest point is at point r.

Thus;

Absolute Minimum = r

Absolute Maximum = s

  • The local minimum is the point at which the graph changes from decreasing to increasing while local maximum is the point where it changes from increasing to decreasing. On this graph;

Local maximum = c

Local minimum = b, r

  • The point at which the graph is neither a maximum nor a minimum is at point b because curve changes to a point before increasing instead of being a curve there

Neither a maximum or minimum = b

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