s1w4 FC rational equations and word problems

Someone asked for a simple statement of the rules of asymptotes. Here they are.

Given a rational function

if n<m then there is a horizontal asymptote at x=0

if n=m then there is a horizontal asymptote at x=a/b

if n=m+1 then there is a slant asymptote that you can find using polynomial division

if n>m+1 there is no asymptote (asymptotes are usually considered to be straight lines) but there may be an asymptotic curve (again, using polynomial division.)

does this help?

Which of the following is a exponential function that is shifted 3 up and 2 left

Find the inverse function of this equation

watch this video on rational equations. do you have any questions?

you are teaching ls2 students in math lab 3 how to add fractions like this

what steps do you give them to do?

you are teaching ls2 students in math lab 4 how to add fractions like this

explain how the steps are exactly the same as what you did before.

on a scale from 1 -5 how comfortable are you with manipulating rational equations?

if you were asked to find the root of

what would you do?

watch this video on solving rational word problems

do you have any questions?

summarize some aspect of the video you understood well.

Consider the following question. Jimmy bikes 30 miles before his tire went flat. He then walked six miles the rest of the way. His speed walking was 12 miles per hour less than his speed biking, but he spent the same amount of time walking as biking. How fast was he biking". do you think

in general how easy is it for you to translate regular word problems to algebraic representations?

for what situation can I solve for the inverse of a function f(x) and find g(x) and realize that g(f(x))=x, but f(g(x)) does not equal x?

There will be a quiz Thursday. to review - analyze the following function - click all that apply

i know all the definitions of all the terms above

because there is a quiz this week, you will notice that the topics list is reasonably light. Also - word problems are always a thorn in the side of someone in a class, so I wanted to take this week slow. If you find you are not inundated with work this week, I suggest you work on the topics. In the meantime: is there anything from the previous flipped classrooms you would like to go over before the quiz on Thursday?