Which of the following statements is/are true based on the graph of the function f(x) = -2(-x-²) + 2?1. As x ∞, f(x) 2.II. The x-intercept is (-2, 0).III. The function is an example of exponential decay.OlonlyOland II onlyOland Ill onlyOI, II, and III

Answered: Image /qna-images/answer/c7cf167c-3a30-4dda-9443-b6a5dcd46ad2.jpg

Answered: Which of the following statements…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.1: Exponential Functions

Problem 59SE: In an exponential decay function, the base of theexponent is a value between 0 and 1. Thus, for...

See similar textbooks

Similar questions

The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is given by A(t)=a(e)rt, where a is the amount ofprincipal initially deposited into an account thatcompounds continuously. Prove that the percentageof interest earned to principal at any time t can becalculated with the formula I(t)=ert1.
Repeat the previous exercise to find the formula forthe APY of an account that compounds daily. Usethe results from this and the previous exercise todevelop a function I(n)for the APY of any accountthat compounds n times per year.
Match the exponential function with one of the graphs labeled I,II,III and IV, shown below. (a) f(x)=2x (b) f(x)=2x (c) f(x)=2x (d) f(x)=2x
The exponential function f(x)=(12)x+3 has the __________ asymptote y= ________. This means that as x, we have (12)x+3 ____________.
In an exponential decay function, the base of theexponent is a value between 0 and 1. Thus, for somenumber b1, the exponential decay function canbe written as f(x)=a(1b)x. Use this formula, alongwith the fact that b=en, to show that an exponential decay function takes theform f(x)=a(e)nx for somepositive number n.

Recommended textbooks for you

College Algebra

Algebra

ISBN:

9781938168383

Author:

Jay Abramson

Publisher:

OpenStax

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

College Algebra

Algebra

ISBN:

9781305115545

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

College Algebra

Algebra

ISBN:

9781938168383

Author:

Jay Abramson

Publisher:

OpenStax

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

College Algebra

Algebra

ISBN:

9781305115545

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Algebra and Trigonometry (MindTap Course List)

Algebra

ISBN:

9781305071742

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

Which of the following statements is/are true based on the graph of the function f(x) = -2(-x-²) + 2? 1. As x ∞, f(x) 2. II. The x-intercept is (-2, 0). III. The function is an example of exponential decay. Olonly Oland II only Oland Ill only OI, II, and III