how are the x-axis and the y-axis related on a coordinate grid
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these axis are perpendicular to each other
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- First we need to understand the concept of functions. For the sake of understanding Functions can be thought of as a machine that takes in some input, does some mathematical processing and gives an output.
- Here the input is represented by a variable ,eg : x and the output is represented by f(x)
- f(x) = some operation on x ; x belongs to a specific interval or set, eg : f(x)= 2x + 3 ; x belongs to real numbers
- If we insert an input say x = 1, the function will give us an output :
f(1) = 2(1) + 3 = 5
- Now in the graphical representation of a function, the values of input is represented by the x axis, and after the input is inserted and an output is obtained, the output is represented by the y axis.
- Hence in our example f(x) = 2x + 3 the input x is related to the output f(x) by the following graph (graph represented by red line)
- In this graph you can try putting any value of x and it will link you to the corresponding output of y
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