[F.IF.8] Interpreting Functions #8

Objectives

Analyze functions using different representations. [Linear, exponential, quadratic, absolute value, step, piecewise-defined]

• • F.IF.8 Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.

    • F.IF.8a Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context.

    • F.IF.8b Use the properties of exponents to interpret expressions for exponential functions. For example, identify percent rate of change in functions such as y = (1.02)^t, y = (0.97)^t, y = (1.01)^12t, y = (1.2)^t/10, and classify them as representing exponential growth or decay.