3. Find the domain and range of the followingfunctions:y = 19 - x2y = sec x

Name: 3. Find the domain and range of the followingfunctions:y = 19 - x2y =
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Description: 3. Find the domain and range of the followingfunctions:y = 19 - x2y = sec x

Given data: The given function is y=(9-x2)1/2. The domain is the value of x for which the given…

Answered: .Find the domain and range of the…

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter81: Introduction To Computer Numerical Control (cnc)

Section: Chapter Questions

Problem 24A

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Question

3. Find the domain and range of the following
functions:
y = 19 - x2
y = sec x

Expert Solution

Step 1

Given data:

The given function is y=(9-x²)^1/2.

The domain is the value of x for which the given function is defined, the domain of the given function is,

$(9 - x^{2}) \geq 0 x \in [- 3, 3]$

The range is the value of y for which the given function is defined, the range of the given function is,

$y \in [0, 3]$

Thus, the domain of the function is [-3, 3], and the range of the function is [0,3].

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