Which functions are decreasing? Select ALL answers that are correct.

Mathematics

1 answer:

aalyn [17]2 years ago

3 0

Answer:

1st and 2nd graph are decreasing functions

Step-by-step explanation:

Increasing function means, as we go from left to right, the function goes "ABOVE" and thus, increases.

Decreasing function means, as we go from left to right, the function goes "DOWN" and thus, decreases.

We will look at all the 4 graphs given. We look from "LEFT-TO-RIGHT".

The first one goes "DOWN", so its decreasing.

The second one also goes "DOWN, so this is decreasing as well.

The third one goes "UP", so it is increasing.

The fourth function stays the same, so it is neither increasing nor decreasing. It is constant.

Thus,

1st and 2nd graph are decreasing functions, only

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Calculate the length of AB if A is the point (2,3) and B is the point (-2,0)

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Formular for coordinate length:

$length = \sqrt{ {(x_{1} - x _{2} )}^{2} + {(y_{1} - y_{2})}^{2} }$

In considerance of coordinates given of A and B

$x _{1} \: \: is \: \: 2 \\ x_{2} \: \: is \: \: - 2 \\ y_{1} \: \: is \: \: 3 \\ y_{2} \: \: is \: \: 0$

therefore substitute:

$length = \sqrt{ { \{2 - ( - 2) \}}^{2} + {(3 - 0)}^{2} } \\ \\ = \sqrt{ {(2 + 2)}^{2} + {3}^{2} } \\ = \sqrt{ {4}^{2} + {3}^{2} } \\ = \sqrt{16 + 9} \\ = \sqrt{25} \\ \\ { \boxed{ \boxed{length \: \: is \: \: 5 \: units}}}$