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Chapter 2: Q. 107 (page 71)

Investigate when, historically, the use of the function notation y=f(x)first appeared.

Short Answer

Expert verified

The notation ofy=f(x)first appeared in1707-1783.

Step by step solution

01

Step 1. Given Information

In the given question we have to investigate when, historically, the use of the function notation y=f(x)first appeared.

02

Step 2. The term "function" was introduced by Gottfried Wilhelm Leibniz (1646-1716) almost fifty years after the publication of Geometry 

The idea of a function was further formalized by Leonhard Euler (pronounced "oiler" 1707-1783) who introduced the notation for a function, y=f(x).

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Most popular questions from this chapter

If 3,6is a point on the graph of role="math" localid="1645806552504" y=f(x), which of the following points must be on the graph of y=f-(x)?

If 4,2is a point on the graph of y=f(x), which of the following points must be on the graph of y=f2(x)?

True or False If no domain is specified for a function f, then the domain of fis taken to be the set of real numbers.

Graph the function using the techniques of shifting, compressing, stretching, and/or reflecting. Start with the graph of the basic function and show all stages. Be sure to show at least three key points. Find the domain and the range of each function. Verify your results using a graphing utility.

g(x)=12x

In March 2011, Nicor Gas had the following rate schedule for natural gas usage in single-family residences:

Monthly customer charge -\(13.55

Distribution charge

First 20therms-0.1473/therm

Next 30therm -\)0.0579/therm

Over 50therm -\(0.0519/therm

Gas supply charge-\)0.51/therm

(a) What is the charge for using 40therms in a month?

(b) What is the charge for using 150therms in a month?

(c) Develop a model that gives the monthly charge Cfor x therms of gas.

(d) Graph the function found in part (c).
See all solutions

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