Recognize functions from graphs, yes or no

If your asking whether the graph shown is a function or not the answer is yes it is a function.

Step-by-step explanation:

There is a test called the vertical line test that states if you can draw a vertical line anywhere on the graph and it only passes through one point then the graph represents a function.

Water is the Adjacent of this right triangle. 350 yards is the length of the Hypotenuse. We have given angle B, 40 degrees.

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According to SOH CAH TOA, we use CAH (cosineΘ = adjacent/hypotenuse).

cosine40 = x/350

[multiply both sides by 350]

350 · cosine40 = x

[put calculator in degree mode]

x ≈ 268 yards

So, the distance across the water from sailboat to the island is 268 yards.

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Let's use pythagorean theorem since we already know the adjacent and hypotenuse to find the opposite (opposite is also known as height).

a^2 + b^2 = c^2

a^2 + (268)^2 = (350)^2

a^2 + 71824 = 122500

a^2 = 122500 - 71824

a^2 = 50676

[square both sides]

=

a =

a ≈ 225

So, the height, opposite, of the lighthouse is 225 yards.

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