Answered: f(x) = x², g(x) =2- (x+1)', f(x) = In…

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f(x) = x², g(x) =2- (x+1)', f(x) = In x, g(x) = In x²

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Concept explainers

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.

Question

Construct a graph of the function y=f(x) using the graph of the function y=g(x) picture (for both graphs - 2 solutions) and verbally describe which transformation of the original graph will result in the resulting graph.

It seems like there should be more steps of tranformin the original graph. But can't find out the right method of construction, which can be verbally described.

Will you help me please?
Thank you.

Also take two credits, because there are two graphs.

f(x) = x', g(x) =2-(x+1)’,
f(x) = In x, g(x)= ln x²

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

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