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Anastaziya [24]

3 years ago

6

Which table of ordered pairs represents a function?

1 answer:

Veronika [31]3 years ago

8 0

Answer:

Graph on the top right.

Step-by-step explanation:

A function is a relation where one domain value is assigned to exactly one range value.

In a table, there would be no values repeating in the x-column.

The graph on the top right does not repeat any x values. Therefore, it is a function.

Why the other options are not functions:

The top left graph has 4 for all it's domain values.
The bottom left graph has '-2' repeating for the domain.
The graph on the bottom right repeats '0' as the domain.

Hope this helps.

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Find the absolute maximum and absolute minimum values of f on the given interval. f(t) = 2 cos(t) + sin(2t),[0, π/2].

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Step-by-step explanation:

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$\Rightarrow 2\sin t(\sin t+1)-1(\sin t+1)=0$

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$\Rightarrow \left[f''(t)\right]_{t=\frac {\pi}6}=-2\times \frac {\sqrt 3}2-4\times \frac{\sqrt 3}2=-3\sqrt 3$

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Hence, the absolute maximum is $\frac{3\sqrt 3}2$ and the absolute minimum value is $0$ .

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