Question
The relationship between the number of hexagons, , and the perimeter of the figure they form, , shown in the graph. Is the perimeter of the figure a function of the number of hexagons? Explain.
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)
Hint:
An equation of the form y = f(x) is called a function if there is a unique value of y for every value of x. In other words, every value of x must have one value of y. We can check if the graph is a function by the vertical line test. A graph represents a function if any vertical line in the xy plane cuts the graph at maximum one point.
The correct answer is: graph is a function.
Step by step solution:
The given graph is
![](data:image/png;base64,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)
We join the points by a smooth curve in the above graph.
We can check if a graph is a function by the vertical line test. A graph represents a function if any vertical line in the xy plane cuts the graph at maximum one point. We use this method to check if the given graph represents a function.
We can see that if we draw any vertical line in the xy plane, it cuts the graph at exactly one point.
Hence, the given graph is a function.
In a function, every value of x must have one value of y. When we draw a vertical, it cuts x axis at one point, we take that point to be x. If the vertical line cuts the graph at two points, then it gives two values of y for one value of x. This does not represent a function.
Related Questions to study
Meri Approximates the area of circles using the equation and records areas of circles with different radius lengths in a table.
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)
a) Graph the ordered pairs from the table
b) Is the relation a function ? Explain.
In a function, every value of x must have one value of y. When we draw a vertical, it cuts x axis at one point, we take that point to be x. If the vertical line cuts the graph at two points, then it gives two values of y for one value of x. This does not represent a function.
Meri Approximates the area of circles using the equation and records areas of circles with different radius lengths in a table.
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)
a) Graph the ordered pairs from the table
b) Is the relation a function ? Explain.
In a function, every value of x must have one value of y. When we draw a vertical, it cuts x axis at one point, we take that point to be x. If the vertical line cuts the graph at two points, then it gives two values of y for one value of x. This does not represent a function.