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anonymous
 one year ago
how do you determine the intercepts from an equation or graph???
anonymous
 one year ago
how do you determine the intercepts from an equation or graph???

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Owlcoffee
 one year ago
Best ResponseYou've already chosen the best response.2for the Y intercept, you replace all the x's for zeroes, because any yintercept has coordinates of (0,k) where "k" is a real number, for instance: \[f:f(x)=e^xu\] This function will have a Yintercept of "1k" because by definition, you fin the Yintercept by replacing all the x's for zero, in other words "f(0)": \[f: f(0)=e^0u\] \[f:f(0)=1u\] So, we conclude that the function f intersects the yaxis on the point (0,1u). For the xinterception it's a little more complex, but easy as well, because it's pretty much the opposite of the yinterception, the xinterception points are often called "roots" or "zeroes" of the function. So, by definition a root point must have coordinates (k,0) where "k" is a real number, let's take for example: \[g:g(x)=3x9\] In order to find the roots of this function we look for the values for "x" that make the whole function g equal zero, meaning "g(x)=0": \[3x9=0\] And we solve for "x": \[x=\frac{ 9 }{ 3 }\] \[x=3\] So, now we have found that the function g has it's xinterception on the coordinates (3,0).

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thank you so much :)
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