Exponential functions and equations. The student applies the mathematical process standards when using properties of exponential functions and their related transformations to write, graph, and represent in multiple ways exponential equations and evaluate, with and without technology, the reasonableness of their solutions. The student formulates statistical relationships and evaluates their reasonableness based on real-world data.

A.9.ADetermine the domain and range of exponential functions of the form f(x) = ab^x and represent the domain and range using inequalities.A.9.BInterpret the meaning of the values of a and b in exponential functions of the form f(x) = ab^x in real-world problems.A.9.CWrite exponential functions in the form f(x) = ab^x (where b is a rational number)to describe problems arising from mathematical and real-world situations, including growth and decay.A.9.DGraph exponential functions that model growth and decay and identify key features, including y-intercept and asymptote, in mathematical and real-world problems.A.9.EWrite, using technology, exponential functions that provide a reasonable fit to data and make predictions for real-world problems.
Example Problems
Solve the exponential equation for x:
Solve the exponential equation for x:
Solve the exponential equation for x:
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