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Chapter 8: Q. 8.149 (page 830)

For the function fx=-x3

鈸� find the domain 鈸� graph the function 鈸� use the graph to determine the range.

Short Answer

Expert verified

The domain and range is the set of all real numbers. That is-鈭�,鈭�

Step by step solution

01

Step 1. Given Information

We have functionf(x)=-x3

02

Part (a) Step 1.  Domain of the function 

Since the radical has index 3, we know the radicand can be any real number. This tells us the domain is all real numbers and written in interval notation as(-鈭�,鈭�)

03

Part (b) Step 1. Graph the function 

To graph the function, we choose points in the interval (-鈭�,鈭�)that will also give us a radicand which will be easy to take the cube root.

04

Part (c) Step 1.  Finding Range from Graph 

Looking at the graph, we see the y-values of the function are all real numbers. The range then is Real number.

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Most popular questions from this chapter

Write as a radical expression:

(a) t12

(b) m13

(c) r14

In the following exercises, simplify using absolute value signs as needed.80s15,96a75,128b76

In the following exercises, solve.

2x3=-2

What is the difference between92and9?

Simplify-

(a) 432

(b) 6253

(c)7294
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