Explain 3. State the domain and range for the following functions. (4A)Domain:{(2, –1), (3, –5), (4, 0), (5, 0), (6, 5)}x = (y- 2)² + 242Range:Domain:Range:Equation: x =(y – 2)² +2

Given equation x=(y-2)2+2 x-2=(y-2)2 takking square root on both side(x-2)=y-2y=x-2+2We know that…

Answered: 3. State the domain and range for the…

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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Question

Explain

3. State the domain and range for the following functions. (4A)
Domain:
{(2, –1), (3, –5), (4, 0), (5, 0), (6, 5)}
x = (y- 2)² + 2
4
2
Range:
Domain:
Range:
Equation: x =
(y – 2)² +2

Expert Solution

Step 1

$G i v e n e q u a t i o n x = {(y - 2)}^{2} + 2 x - 2 = {(y - 2)}^{2} t a k k i n g s q u a r e r o o t o n b o t h s i d e \sqrt{(x - 2)} = y - 2 y = \sqrt{x - 2} + 2 W e k n o w t h a t T h e s e t o f a l l p o s s i b l e v a l u e s w h i c h q u a l i f y a s i n p u t s t o a f u n c t i o n i s k n o w n a s t h e d o m a i n o f t h e f u n c t i o n H e r e v a l u e o f r o o t i s m u s t b e p o s i t i v e t h e r e f o r e x ⩾ 2 t h e r e f o r e d o m a i n o f t h e f u n c t i o n x \in [2, \infty) T h e s e t o f a l l t h e o u t p u t s o f a f u n c t i o n i s k n o w n a s t h e r a n g e o f t h e f u n c t i o n x = {(y - 2)}^{2} + 2 h e r e {(y - 2)}^{2} i s m u s t b e p o s i t i v e y - 2 ⩾ 0 y ⩾ 2 y \in [2, \infty)$