RF.2.BTAII

RF.2.BTAII

RF.2.BTAII.1Explain 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, Absolute value, ExponentialRF.2.BTAII.2Graph functions expressed algebraically and show key features of the graph, with and without technology.RF.2.BTAII.3Explain how extending the properties of integer exponents to rational exponents provides an alternative notation for radicals. For example: We define 5^(4/3) to be the cube root of 5^4 because we want (5^(4/3))^(3/4) = 5 to hold.RF.2.BTAII.4Rewrite expressions involving radicals and rational exponents using the properties of exponentsRF.2.BTAII.5Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or any polynomial function.RF.2.BTAII.6Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.RF.2.BTAII.7Solve quadratic equations in one variable.RF.2.BTAII.8Solve systems of equations consisting of linear equations and nonlinear equations in two variables algebraically and graphically. For example: Find the points of intersection between y = -3x and y = x^2 + 2.
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