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Problem

Make a rough sketch of the graph of the function.…

01:31

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Problem 12 Easy Difficulty

Make a rough sketch of the graph of the function. Do not use a calculator. Just use the graphs given in Figures 3 and 13 and, if necessary, the transformations of Section 1.3.

$ y = (0.5)^{x - 1} $


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Jeffrey Payo

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Calculus: Early Transcendentals

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Multivariate Functions - Intro

A multivariate function is a function whose value depends on several variables. In contrast, a univariate function is a function whose value depends on only one variable. A multivariate function is also called a multivariate expression, a multivariate polynomial, a multivariate series, or a multivariate function of several variables.

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Partial Derivatives - Overview

In calculus, partial derivatives are derivatives of a function with respect to one or more of its arguments, where the other arguments are treated as constants. Partial derivatives contrast with total derivatives, which are derivatives of the total function with respect to all of its arguments.

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Watch More Solved Questions in Chapter 1

Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
Problem 16
Problem 17
Problem 18
Problem 19
Problem 20
Problem 21
Problem 22
Problem 23
Problem 24
Problem 25
Problem 26
Problem 27
Problem 28
Problem 29
Problem 30
Problem 31
Problem 32
Problem 33
Problem 34
Problem 35
Problem 36
Problem 37
Problem 38

Video Transcript

when making a rough sketch of a function. We want to be able to show that we understand the basic shape of the function and its basic features, and we're going to start with the standard function. Why equals 0.5 to the X? That would be exponential decay. Because the base is less than one, it's between zero and one, so roughly that would have this shape. Now we need to show that we understand the transformation of subtracting one from X for any function. When you subtract one from X, you're actually moving the graph to the right one. So we're going to take the graph. We just drew and move it to the right one. Now, the graph we just drew has a horizontal Assen towed at a height of zero. If you move your graph to the right one, you're still going to have a horizontal Assam towed at a height of zero. And the graph we just drew went through the 0.1 That's the Y intercept for basic exponential growth or decay function. So our new graph will go through the 0.11 moving it to the right one. So there's a rough sketch

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Calculus: Early Transcendentals

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