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Algebra
Pregunta

A linear function and a quadratic function can int...

A linear function and a quadratic function can intersect at a maximun of two points. 

The point(s) of intersection of a line a parabola can be found: 

    graphicaily 

    algebraically 

To determine the points of intersection algebraically, use substitution to replace \( f ( x ) \) from trie quadratic function with the expression for \( y ( x ) \) from the linear function. This results in a quadratic equation whose solutions correspondthe x-coordinates of the points of intersection. 

For example: Given \( f ( x ) = x ^ { 2 } + x + 1 \) and \( g ( x ) = x + 2 \) , where do the two functions intersect? 

a) graphically         b) algebraically 

Answer

algebrically: (-1,1) & (1,3)

graphically: 

Solución
View full explanation on CameraMath App.