1 / 12

130 likes | 270 Views

Honors Precalculus. Day 1 Section 4.1. One-to-One Functions Will pass both the vertical and horizontal line tests Are either always increasing or always decreasing Inverse functions The inverse of f (x) is written as f -1 (x). f (x) and f - 1 (x) will undo one-another, meaning

Download Presentation
## Honors Precalculus

**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

**Honors Precalculus**Day 1 Section 4.1 Perkins**One-to-One Functions**Will pass both the vertical and horizontal line tests Are either always increasing or always decreasing Inverse functions The inverse of f(x) is written as f -1(x). f(x) and f -1(x) will undo one-another, meaning Only 1-to-1 functions can have inverses (which will require us to limit the domain of those which are not). The domain of f(x) is the same as the range of f -1(x). The range of f(x) is the same as the domain of f -1(x). f(x) and f -1(x) are symmetric about the line y = x. To find f -1(x): Swap x and y. Solve for y.**6**4 2 5 10 -2 -4 -6 Which of these functions are 1-to-1? (not a function)**1. Sketch the graph of the inverse of this 1-to-1 function.**Show that these functions are inverses of each other. Method 1: Method 2: graph and look for symmetry about y = x.**3. is a 1-to-1 function. Find its**inverse. Swap variables. Solve for y.**4. Give the domain of f(x) and use f -1(x) to find its**range. f(x) is 1-to-1.**Honors Precalculus**Day 1 Section 4.1 Perkins**One-to-One Functions**Inverse functions To find f -1(x):**6**4 2 5 10 -2 -4 -6 Which of these functions are 1-to-1?**1. Sketch the graph of the inverse of this 1-to-1 function.**Show that these functions are inverses of each other. Method 1: Method 2:**3. is a 1-to-1 function. Find its**inverse.**4. Give the domain of f(x) and use f -1(x) to find its**range. f(x) is 1-to-1.

More Related