IA2.AT.D.13: Find and interpret the inverse of quadratic and exponential functions using algebraic and graphical representations. a. Restrict the domain of a quadratic to make it one-to-one and express its inverse as a square root function. b. Express the inverse of an exponential function as a logarithmic function and evaluate expressions involving logarithms. c. Graph a function and its inverse and analyze features (e.g., domain and range, intercepts, points of intersection) and symmetry across the line y = x. d. Interpret the meaning of inverse functions in context.

Find and interpret the inverse of quadratic and exponential functions using algebraic and graphical representations. a. Restrict the domain of a quadratic to make it one-to-one and express its inverse as a square root function. b. Express the inverse of an exponential function as a logarithmic function and evaluate expressions involving logarithms. c. Graph a function and its inverse and analyze features (e.g., domain and range, intercepts, points of intersection) and symmetry across the line y = x. d. Interpret the meaning of inverse functions in context.

Example Problems

Write in radical form:

m^{1/3}

Write in radical form:

s^{-1/2}

Write in radical form:

k^{2/14}

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