Answered: Let y=15√x (a) Is this a power…

Let y=15√x (a) Is this a power function? (YES or NO) If it is a power function, answer the following two questions Power functions can be written as y=kx^p (b) What is k ? (c) What is pp ?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.1: Functions And Function Notation

Problem 2TI: Use function notation to express the weight of a pig in pounds as a function of its age in days d.

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Question

Let

y=15√x

(a) Is this a power function?

(YES or NO)
If it is a power function, answer the following two questions
Power functions can be written as y=kx^p
(b) What is k ?

Expert Solution

Step 1

$g i v e n y = 15 \sqrt{x} a c c o r d i n g t o p o w e r f u n c t i o n d e f i n i t i o n, a \sin g l e t e r m f u n c t i o n m a d e u p o f a r e a l n u m b e r, a c o f f i c i e n t a n d a v a r i a b l e r a i s e d t o a f i x e d r e a l v a l u e i s c a l l e d p o w e r f u n c t i o n p o w e r f u n c t i o n f o r m i s f (x) = k x^{p}$

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