Mathematics | Course : Model Mathematics III (Integrated Pathway)
Domain - Linear, Quadratic, and Exponential Models
Cluster - Construct and compare linear, quadratic, and exponential models and solve problems.
[MIII.F-LE.A.4] - For exponential models, express as a logarithm the solution to abct = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology.*
- Logarithm
The exponent that indicates the power to which a base number is raised to produce a given number. For example, the logarithm of 100 to the base 10 is 2. - Model
A mathematical representation (e.g., number, graph, matrix, equation(s), geometric figure) for real-world or mathematical objects, properties, actions, or relationships.
[MII.F-BF.B.4] -
Find inverse functions algebraically and graphically.
[MII.F-BF.B.4.a] -
Solve an equation of the form f(x) = c for a linear function f that has an inverse and write an expression for the inverse.
[PC.F-BF.B.4] -
Find inverse functions.
[PC.F-BF.B.4.b] -
(+) Verify by composition that one function is the inverse of another.
[PC.F-BF.B.4.c] -
(+) Read values of an inverse function from a graph or a table, given that the function has an inverse.
[PC.F-BF.B.4.d] -
(+) Produce an invertible function from a non-invertible function by restricting the domain.