Question
upstudy study bank question image url

b. Is the function \( y=-6\left(9^{-x}\right) \) an exponential function? Yes No

Ask by Logan Tyler. in the United States
Feb 26,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The function \( y = -6(9^{-x}) \) is an exponential function.

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

Extra Insights

Absolutely, yes! The function \( y = -6(9^{-x}) \) is indeed an exponential function. Exponential functions are characterized by a constant base raised to a variable exponent, which in this case is \( 9^{-x} \). The negative factor (-6) simply scales the function but does not change its exponential nature. Now, you might be wondering how this function behaves! Since the base \( 9 \) is greater than 1, as \( x \) increases, the value of \( 9^{-x} \) decreases rapidly towards zero. Consequently, \( y \) will approach zero from the negative side, leading to a horizontal asymptote at \( y = 0 \). It's a classic exponential decay scenario to keep you intrigued!

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy