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monitta
2 years ago
12

a graph represents a relation that is also a function if only and if every ___ intersects the graph ___ once

Mathematics
1 answer:
hoa [83]2 years ago
3 0

Answer:

A graph represents a relation that is also a function if only and if every vertical line intersects the graph at most once.

Step-by-step explanation:

The vertical line test should be used to get an idea about the nature of a graph whether it represents a function or not. A vertical line must not intersect the graph multiple times as it would violate the definition of a function.

If a vertical line intersects the graph multiple times, it means the graph is having the same repeated inputs, which is against the definition of a function. A function can not have repeated input values.

Thus, we conclude that a graph represents a relation that is also a function if only and if every vertical line intersects the graph at most once.

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What is the value of x in the equation 6(x + 1) – 5x = 8 + 2(x - 1)?<br> OIT MT
Alexandra [31]

Answer:

x=0

Step-by-step explanation:

To solve, we need to get all the variables on one side of the equation, and all the numbers on the other

6(x + 1) – 5x = 8 + 2(x - 1)

First, distribute the 6 on the left

6*x+6*1 -5x=8 +2(x-1)

6x+6-5x=8+2(x=1)

Combine like terms on the left

(6x-5x)+6=8+2(x-1)

x+6=8+2(x-1)

Distribute the 2 on the right

x+6=8+2*x+2*-1

x+6=8+2x-2

Combine like terms on the right

x+6=2x+(8-2)

x+6=2x+6

Subtract x from both sides

6=x+6

Subtract 6 from both sides

x=0

Hope this helps! :)

3 0
3 years ago
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antiseptic1488 [7]
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Step-by-step explanation:

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Therefore, y=1/2x+9 would be the equation with the least steep graph.

I hope this helped! Have a good day!

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Step-by-step explanation:

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