Day 4 examples u1f13
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This document discusses inverses of functions and their graphs. It provides an example of finding the inverse of a point (-4, 3) by reflecting it over the line y=x and switching the x and y values. It also gives an example function f(x)=4x+3 and explains how to write the inverse equation, draw the graph, and state the domain and range of both the function and its inverse. Finally, it provides two functions and explains how to determine algebraically if they are inverses of each other.
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Day 4 examples u1f13
- 2. Inverses of Functions + their Graphs ex. Find the inverse of (-4 , 3) Inverse = the reflection of the function over the line y = x which we can get by switching x with y for all points ex. f(x) = 4x + 3. Draw f
- 3. Given f(x) = 4x + 3, write an equation for f
- 5. State the domain and range of each function and its inverse.
- 6. Determine algebraically whether the functions are inverses of each other: y = (x - 2)2 + 1, x ≤ 2 y = √x - 1 + 2