Chapter 3: Q. 499 (page 360)

Use the mapping to
a) determine whether the relation is a function
b) find the domain of the function
c) find the range of the function.

Short Answer

Expert verified

a) This is a function

b) The domain is: $\{- 3, - 2, - 1, 0, 1, 2, 3\}$

c) The range is: $\{- 243, - 32, - 1, 0, 1, 32, 243\}$

Step by step solution

Step 1. Given Information

We have,

Part a) Step 2. Determine the relation is the function

Each $x -$ value is matched with only one $x^{5} -$ value. So this relation is a function.

Part b) Step 3. The domain of the relation

The domain is the set of all $x -$ values in the relation.

The domain is: $\{- 3, - 2, -, 1, 0, 1, 2, 3\}$

Part c) Step 4. The range of the relation

The range of the set of all $x^{5} -$ values in the relation

The range is: $- 243, - 32, - 1, 0, 1, 32, 243$

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Use the mapping to
a) determine whether the relation is a function
b) find the domain of the function
c) find the range of the function.

Short Answer

Step by step solution

Step 1. Given Information

Part a) Step 2. Determine the relation is the function

Part b) Step 3. The domain of the relation

Part c) Step 4. The range of the relation

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Use the mapping toa) determine whether the relation is a functionb) find the domain of the functionc) find the range of the function.

Short Answer

Step by step solution

Step 1. Given Information

Part a) Step 2. Determine the relation is the function

Part b) Step 3. The domain of the relation

Part c) Step 4. The range of the relation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Logic and Functions

Calculus

Geometry

Discrete Mathematics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Use the mapping to
a) determine whether the relation is a function
b) find the domain of the function
c) find the range of the function.