Explain why the 𝑥-coordinates of the points where the graphs of the equations 𝑦 = 𝑓(𝑥) and 𝑦 = 𝑔(𝑥) intersect are the solutions of the equation 𝑓(𝑥) = 𝑔(𝑥). Find the solutions approximately by: using technology to graph the functions, making tables of values, finding successive approximations. Include cases (but not limited to) where 𝑓(𝑥) and/or 𝑔(𝑥) are: linear, polynomial, rational, exponential (Introduction in Algebra 1, Mastery in Algebra 2), logarithmic functions.
Reasoning with Equations and Inequalities
Solve systems of equations