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Chapter 2: Q. 87 (page 115)

Temperature Measurements The relationship between the Celsius (°C)and Fahrenheit (°F)scales for measuring temperature is given by the equation.

F=95C+32

The relationship between the Celsius °Cand Kelvin Kscales is K=C+273. Graph the equation F=95C+32using degrees Fahrenheit on the y-axis and degrees Celsius on the x-axis. Use the techniques introduced in this section to obtain the graph showing the relationship between Kelvin and Fahrenheit temperatures.

Short Answer

Expert verified

The graph for the equation F=95C+32using degrees Fahrenheit on the yaxis and degrees Celsius on the xaxis is,

Step by step solution

01

Step 1 For graphing the equation, select some values for C and compute for F.

Now plot the points and draw a straight line through them to graph F=95C+32.

02

Step 2 Since Kelvin temperature is 273° more than Celsius temperature, the graph showing the relationship between Kelvin and Fahrenheit temperatures can be obtained by horizontally shifting the graph of F=95C+32 by 273 units to the right.

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Most popular questions from this chapter

In Problems 7–18, match each graph to one of the following functions:

A.y=x2+2B.y=-x2+2C.y=x+2D.y=-x+2E.y=(x-2)2F.y=-(x+2)2G.y=x-2H.y=-x+2I.y=2x2J.y=-2x2K.y=2xL.y=-2x

True or False The domain of the function f(x)=x2-4xis{x|x≠±2}.

In Problems 7–18, match each graph to one of the following functions:

A.y=x2+2B.y=-x2+2C.y=x+2D.y=-x+2E.y=(x-2)2F.y=-(x+2)2G.y=x-2H.y=-x+2I.y=2x2J.y=-2x2K.y=2xL.y=-2x

The interval (2, 5) can be written as the inequality ___________

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
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