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Chapter 2: Q. 48 (page 69)

In Problems 47鈥� 62, find the domain of each function.

f(x)=x2+2

Short Answer

Expert verified

The domain of the given function is the set of all real numbers.

Step by step solution

01

Step 1. Given Information

In the given problems we have to find the domain of given function.

f(x)=x2+2

02

Step 2. The function tells us to square a number and then add two. 

Since these operations can be performed on any real number, we conclude that the domain of fis the set of all real numbers.

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Most popular questions from this chapter

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.

f(x)=x2-1

Match each graph to its function.

A. Constant function

B. Identity function

C. Square function

D. Cube function

E. Square root function

F. Reciprocal function

G. Absolute value function

H. Cube root function

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

Monthly service charge- \(18.95

Per therm service charge

1st50therms- \)0.33372/therm

Over 50therms- \(0.12360/therm

Gas charge- \)0.5038/therm

(a) What is the charge for using 50therms in a month?

(b) What is the charge for using 500therms in a month?

(c) Develop a model that relates the monthly charge Cfor xtherms of gas.

(d) Graph the function found in part (c)

True or False

To obtain the graph of f(x)=x3+5,shift the graph of y=x3vertically up 5units.

In Problems 33鈥� 44, determine algebraically whether each function is even, odd, or neither.

g(x)=x2+3x2-1
See all solutions

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