Answer :
To find the number of points of intersection between two functions, you can either visually analyze their graphs or use algebraic methods. By equating the functions and solving for the variable(s), you can determine the x-values where they intersect, and then find the corresponding y-values to obtain the points of intersection.
To determine how many times two functions intersect, you have two main approaches: graphing and algebraic methods. Graphing involves plotting the functions on a coordinate plane and identifying the points where they intersect. This method is visually intuitive but may not provide precise results.
Alternatively, using algebraic methods, you equate the two functions and solve for the variable(s) to find the x-values of intersection. Substituting these values back into the functions helps you obtain the corresponding y-values and the actual points of intersection. The number of intersections can vary from zero to infinite, depending on the functions' nature and relationship.
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