How many times does \( f \) and \( g \) intersect?

To determine how many times the functions \( f \) and \( g \) intersect, we need to analyze their equations or graphs. These functions intersect where their values are equal, meaning we can set \( f(x) = g(x) \) and solve for \( x \). The number of solutions to this equation indicates the number of intersection points. Graphing both functions can also provide a visual representation of their intersections. Using tools such as graphing calculators or software makes this process even easier. Simply input the equations for \( f \) and \( g \), and look for the points where the curves meet. Keep in mind to check for any restrictions on the domains of the functions that might affect the total number of intersections.