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How does an equation represent a function? - Answers
An equation in this context usually has two variables, let's say x and y. A function in this case usually has one variable as an input let's say x. f(x) is the output of the expression that defines the function. There are some criteria of a function that equations do not have. Functions must only have one output per input, basically, if you draw a vertical line anywhere on the graph, the line must only intersect at one point. So how does an equation represent a function? We can use the second variable in the equation to represent the output of the function and isolate f(x) Examples: x+ 3y = 10 x + 3f(x) = 10 3f(x) = 10 - x f(x) = (10-x)/3 x+ 3y = 10 represents f(x) = (10-x)/3 Trying x^2+y^2=9 would not work, because isolating for y we would get and equation of y = (plus or minus)sqrt(9-x^2) which does not follow the criteria of a function. Hope it helped!
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How does an equation represent a function? - Answers
An equation in this context usually has two variables, let's say x and y. A function in this case usually has one variable as an input let's say x. f(x) is the output of the expression that defines the function. There are some criteria of a function that equations do not have. Functions must only have one output per input, basically, if you draw a vertical line anywhere on the graph, the line must only intersect at one point. So how does an equation represent a function? We can use the second variable in the equation to represent the output of the function and isolate f(x) Examples: x+ 3y = 10 x + 3f(x) = 10 3f(x) = 10 - x f(x) = (10-x)/3 x+ 3y = 10 represents f(x) = (10-x)/3 Trying x^2+y^2=9 would not work, because isolating for y we would get and equation of y = (plus or minus)sqrt(9-x^2) which does not follow the criteria of a function. Hope it helped!
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How does an equation represent a function? - Answers
An equation in this context usually has two variables, let's say x and y. A function in this case usually has one variable as an input let's say x. f(x) is the output of the expression that defines the function. There are some criteria of a function that equations do not have. Functions must only have one output per input, basically, if you draw a vertical line anywhere on the graph, the line must only intersect at one point. So how does an equation represent a function? We can use the second variable in the equation to represent the output of the function and isolate f(x) Examples: x+ 3y = 10 x + 3f(x) = 10 3f(x) = 10 - x f(x) = (10-x)/3 x+ 3y = 10 represents f(x) = (10-x)/3 Trying x^2+y^2=9 would not work, because isolating for y we would get and equation of y = (plus or minus)sqrt(9-x^2) which does not follow the criteria of a function. Hope it helped!
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