Find the long-term behavior of the following rational function (what happens as t goes to infinity?): f(t) = 1.5t^2 - 2 + t - 1 / t + 3 As f(t) approaches infinity, what does t approach?
Added by Christine L.
Step 1
5t^2 - 2 + t - 1) / (t + 3) f(t) = (1.5t^2 + t - 3) / (t + 3) f(t) = (1.5t^2 + t - 3) / (t + 3) ** Show more…
Show all steps
Close
Your feedback will help us improve your experience
Andrew Sullivan and 97 other Prealgebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Find the long run behavior of each function as $t \rightarrow \infty$ and $t \rightarrow-\infty$ $$ k(t)=2(t-3)^{2}(t+1)^{3}(t+2) $$
Polynomial and Rational Functions
Graphs of Polynomial Functions
Find the long run behavior of each function as $t \rightarrow \infty$ and $t \rightarrow-\infty$ $$ h(t)=3(t-5)^{3}(t-3)^{3}(t-2) $$
Recommended Textbooks
Grade 6 Mathematics: Open Up Resources, Common Core State Standards Edition
Grade 7 Mathematics: Open Up Resources, Common Core State Standards Edition
Grade 8 Mathematics: Open Up Resources, Common Core State Standards Edition
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD