1 / 10

1-6

1-6. Inverses. What are the domain and range of. Domain:. Range:. Interior of circle:. Exterior of circle:. Inverse Relations and Functions. To get a relation’s inverse, we switch x and y in the equation.

martha-potter
Télécharger la présentation

1-6

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 1-6 Inverses

  2. What are the domain and range of Domain: Range: Interior of circle: Exterior of circle:

  3. Inverse Relations and Functions To get a relation’s inverse, we switch x and y in the equation. If R is a relation, R-1 is the inverse of R. For every point (a, b) in R, (b, a) is in R-1. The domain of R-1 is the range of R and the range of R-1 is the domain of R. The graph of R-1 is a reflection of the graph of R over the line y = x.

  4. Inverses that ARE functions If R-1 passes the vertical line test, then it is a function. Thus, if R passes the HORIZONTAL line test, then R-1 is a function. If R and R-1 are BOTH functions, then R is called a one-to-one function. (R passes both the VLT and the HLT.) If f(x) is one-to-one, then its inverse is f-1(x)

  5. Inverse Functions (A function and its inverse “undo” each other.) Are f(x) and g(x) inverse functions? If not, what is f-1(x)?

  6. Exponential and Logarithmic Functions is an exponential function with base a (a > 0) Domain: Range: y-intercept: a > 1 0 < a < 1

  7. Exponential and Logarithmic Functions The inverse of is The inverse of is Domain: Range: x-intercept:

  8. Properties of Logarithms

  9. Special Bases/Change of Base

  10. Solving Logarithmic Equations

More Related