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2 years ago

Explain why the vertical line test is used to determine if a graph represents a function.

2 answers:

4 0

Hi there Mary Dominguez, So what a vertical line test down is to find out if a particular graph is a function or not. What you do is take a vertical strait line and move it right to left or left to right, depending on your preference, along the X axis. The reason this works is a function can not have an x that has 2 different y values. If we use the vertical line test on a graph with say a graph that has (2,3) and (2,4) we can use the vertical line test and see that the line hits 2 points at once which means its not a function :)

Firdavs [7]2 years ago

4 0

When a vertical line passes through the graph of a function, it will intersect the graph at only one point. More than one point on any given vertical line means that the same x is being paired with 2 different y's and that make the graph not a function.

Please rate and thank : )

And btw copying and pasting is plagiarism

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We have:
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We will use formula for quadratic equation:
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2 years ago

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Gus has a fish tank that holds 471047104710 inches^3 3 cubed of water. He is using a cylinder shaped bucket with a radius of 555

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Answer:

Gus will need to fill up the cylindrical bucket three times to be able to use it to fill up the tank

Step-by-step explanation:

Extracting the key information from the question:-

*** A fish tank has a capacity or volume of 4710 inches^3

*** The owner of the tank uses a cylindrical shaped bucket to fill the tank

*** The radius of the bucket being used to fill the tank is 5 inches and its height is 20 inches

*** We are only required to calculate how many times Gus will need to fill the bucket in order to completely fill the fish tank.

Since the container that the owner of the fish tank is using to fill the fish tank is cylindrical, we will need the formula for calculating the volume of a cylinder in order to determine the volume of this bucket that is being used to fill the fish tank.

Volume of a cylinder = π × r^2 × h. From the question, we were informed that the radius of the cylindrical bucket is 5 inches and the height of this bucket is 20 inches.

The volume of the bucket is = 3.14 × 5^2 × 20 = 1570 inches^3

Again, we were told that the fish tank that Gus was using cylindrical bucket to fill up has a volume of 4710 inches^3. In order to determine the number of filled buckets that will be able to fill the fish tank, we will then divide the volume of the tank by the volume of the cylindrical bucket:

4710/1570 = 3 full buckets.

Therefore, Gus will need to fill the bucket three times in order to be able to fill up the fish tank.

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2 years ago

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