Maths-
General
Easy
Question
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.
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:
Let us denote the radius of the circle by x.
Let us denote the area of the circle by y.
Then the given table is
x
1
2
3
4
5
y
3
12
27
48
75
We plot the above points in a graph.
![](data:image/png;base64,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)
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
General
Is xi a word?
Is xi a word?
GeneralGeneral
Maths-
Find the solution of the system of equations.
![y equals 0.5 x squared minus 8 x plus 13](data:image/png;base64,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)
![y equals x minus 3](data:image/png;base64,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)
Find the solution of the system of equations.
![y equals 0.5 x squared minus 8 x plus 13](data:image/png;base64,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)
![y equals x minus 3](data:image/png;base64,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)
Maths-General
Maths-
Find the solution of the system of equations.
![y equals negative 4 x squared plus x plus 1](data:image/png;base64,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)
![y equals negative 7 x plus 1](data:image/png;base64,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)
Find the solution of the system of equations.
![y equals negative 4 x squared plus x plus 1](data:image/png;base64,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)
![y equals negative 7 x plus 1](data:image/png;base64,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)
Maths-General
Maths-
Find the solution of the system of equations.
![y equals x squared plus 3 x minus 2](data:image/png;base64,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)
Y= 2x
Find the solution of the system of equations.
![y equals x squared plus 3 x minus 2](data:image/png;base64,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)
Y= 2x
Maths-General
Maths-
Given the equation
, write an equation for a line that does not intersect the parabola.
Given the equation
, write an equation for a line that does not intersect the parabola.
Maths-General
Maths-
Given the equation
, write an equation for a line that intersects the parabola two times.
Given the equation
, write an equation for a line that intersects the parabola two times.
Maths-General
General
Is Monday capitalized ?
Is Monday capitalized ?
GeneralGeneral
General
"Choose the synonyms to lesson"
"Choose the synonyms to lesson"
GeneralGeneral
General
Circle the word that described the ward in bold in each sentence
Circle the word that described the ward in bold in each sentence
GeneralGeneral
Maths-
Maths-General
General
Choose the synonym for "Command?
Choose the synonym for "Command?
GeneralGeneral
General
Complete the sentence with the best prefix
Let's re start the game after a short break
Complete the sentence with the best prefix
Let's re start the game after a short break
GeneralGeneral
Maths-
How is dividing each side of X>0 by a negative value different from dividing each side by a positive value?
How is dividing each side of X>0 by a negative value different from dividing each side by a positive value?
Maths-General
General
Choose the Synonym for 'Organized'?
Choose the Synonym for 'Organized'?
GeneralGeneral
Maths-
How are the solutions of an inequality different from the solutions of an equation ?
How are the solutions of an inequality different from the solutions of an equation ?
Maths-General