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anonymous
 one year ago
Jackie is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect?
anonymous
 one year ago
Jackie is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect?

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Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1a quadratic function f(x), can be this: \[f\left( x \right) = a{x^2} + bx + c\] whereas a linear function, g(x), can be this: \[g\left( x \right) = kx + h\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1now, the intersections between those functions, are given by the solutions of the subsequent algebraic system: \[\left\{ \begin{gathered} f\left( x \right) = a{x^2} + bx + c \hfill \\ g\left( x \right) = kx + h \hfill \\ \end{gathered} \right.\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1so, we can have the subsequent cases: 1) two distinct solutions, which means, taht we have two distinct point of intersections: dw:1438611731045:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ohhh! :) Ok, I'm understanding it now

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.12) one solutions, or more precisely two identical solutions, which means that we have only one intersection: dw:1438611820605:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I have to go but I'll be back in 10 minutes(eating breakfast)!

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.13) no solutions, which means that we have no intersections: dw:1438611883205:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so is it no intersection?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1yes! in the third case we have no intersections
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