Title
Algebra and Trigonometry : Functions - Graphing Inverse Functions - Practice ProblemCreator
John Craighead, Danny Dyer, Rebecca Milley and Memorial University of Newfoundland. Centre for Innovation in Teaching and Learning (CITL)Description
This video is a demonstration of a problem involving inverse functions. In this practice problem you are asked to do 4 things considering ƒ(x) = minus the square root of x plus 1 plus 2:
1) graph ƒ(x), finding and labelling any vertex, x-intercept(s), y-intercept(s) and/or asymptotes;
ii) explain why ƒ(x) has an inverse;
iii) sketch ƒ-1(x) on the same axes as ƒ(x) by reflecting across line y = x, finding and labelling any vertex, x-intercept(s), y-intercept(s) and/or asymptotes;
iv) state the domain and range of ƒ(x) and ƒ-1(x). Are they inter-related? If so, how?
Learning Design
Find, as applicable, vertex, intercepts, asymptotes, domain & range and graph where asked.
Graph inverse functions f-1(x) from graph of f (x).Date Created
2017Format
Video/mp4Duration
07:12 minutes/seconds