This figure displays the graph of the exponential function f(x) = c. bkz. You can adjust parameters b,C.c, and k to see how changing these parameters changes the graph of the function.See if you can determine the effect that each parameter has on the shape of the graph. Can you determine whyeach effect occurs?Interactive Figuref-9-8---7--6--5-4-3-2--9-8-7 -6 -5 -4 -3 -2 -1-1---2--3--4---5--6--7-Y22(0.1)12-3.45 6 7x-00-8b = 2c=1k = 1f(x) = c.fkxf(x) = 2*[]1

Answered: This figure displays the graph of the…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Related questions

Question

This figure displays the graph of the exponential function f(x) = c. bkz. You can adjust parameters b,
C.
c, and k to see how changing these parameters changes the graph of the function.
See if you can determine the effect that each parameter has on the shape of the graph. Can you determine why
each effect occurs?
Interactive Figure
f
-9
-8-
--7-
-6-
-5
-4-
3-
2-
-9-8-7 -6 -5 -4 -3 -2 -1
-1-
--2-
-3-
-4-
--5-
-6-
-7-
Y
22
(0.1)
1
2
-3.
4
5 6 7
x
-00-
8
b = 2
c=1
k = 1
f(x) = c.fkx
f(x) = 2*
[]
1

Expert Solution

Step 1: Given information

$G i v e n : y = c \cdot b^{k x} c, b, k a r e p a r a m e t e r s . A i m : T o d e t e r m i n e t h e i r a f f e c t o n t h e s h a p e o f' y' c u r v e .$

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Basic information:

$y i s a n e x p o n e n t i a l f u n c t i o n . b i s c a l l e d' b a s e' o f t h e g i v e n e x p o n e n t i a l f u n c t i o n .' k x' i s e x p o n e n t o f' b' .' k' i s a p a r a m e t e r m u l t i p l i e d t o t h e v a r i a b l e' x' . T h e b a s i c f u n c t i o n i s' b^{x}' .' c' i s f a c t o r m u l t i p l i e d t o a b a s i c f u n c t i o n' b^{k x}' .$