Restrict Domain of Function...2

Section 1.9
Question 74

What does it mean to restrict
the domain of the function f so that the function is one-to-one and has an inverse function?

f(x) = (x - 4)^2

 

f(x) = (x - 4)^2 is a parabola

is not one-to-one, it will not pass horizontal test
to restrict the domain of the function f so that the function is one-to-one just go to vertex which is at x=4, and restrict domain to x<=4 to have only left half of the graph
or restrict domain to x>=4 to have only right half of the graph

 

In other words, cut or erase part of the graph so that it can pass the horizontal line test.

True?

 

True

 

Just like that my weekend is over. I have a long week of work ahead. On 9/9/21, I move to my new place. I should have time for math at the new location as we continue our precalculus journey. I hope you can stick to the very end of the textbook. However, if you would like to shorten the journey, I can simply post midterm and final exam precalculus questions and then move into Calculus 1. The choice is yours. I would rather stay with the textbook.

 

just stay with the textbook

 

Ok. Will do. We move on to Section 1.10 or Mathematical Modeling in terms of variation problems.