/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 125 What happens to an exponential f... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 10: Q. 125 (page 1020)

What happens to an exponential function as the values of xdecreases? Will the graph ever cross the y-axis? Explain.

Short Answer

Expert verified

As xdecreases,

In exponential decay function ,the output values grow without bound.

In exponential growth function, the output values grow smaller, approaching zero .

Yes, the graph crosses the y-axis at 0,1.

Step by step solution

01

Step 1 Definition for the exponential function.

The exponential function is a function which has xas an exponent.

For examples,

2x,ex.

02

Step 2 In exponential growth function,

as xdecreases, the output values grow smaller, approaching zero .

In exponential decay function, as xdecreases ,the output values grow without bound.

Yes the graph crosses they-axis at0,1.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In the following exercise, find the inverse of each function.

x3-4

In the following exercises, find

a.f鈭�g(x)

b.g鈭�f(x)

c.(f.g)(x)

f(x)=3x-1g(x)=5x-3

In the following exercises, find the inverse of each function.

f(x)=7x-1

For functions f(x)=4x-3and

g(x)=6x-5, find

  1. (f鈭�g)(x)
  2. (g鈭�f)(x)
  3. (f路g)(x)

In the following exercises, determine whether or not the given functions are inverses.
f(x)=x+8andg(x)=x-8
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Probability and Statistics

Read Explanation

Geometry

Read Explanation

Statistics

Read Explanation

Pure Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.