(a) y (b) y 14 14 12 12 10 10 8 8 ++++ x ++ -6-4 -2 ++++> x 2 4 6 8 10 2 4 6 8 10 -6 -4 -2 (c) y (d) 14 14 12 12 10 10 8 - 8 6. ++++→ x 2 4 6 8 10 ++ -6 -4 -2 -6 -4 -2 2 4 6 8 10 2. 64

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.3: Algebraic Expressions
Problem 9E
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Question

Match the logistic equation with its graph. y = 12 / (1 + 3e−x)

(a)
y
(b)
y
14
14
12
12
10
10
8
8
++++ x
++
-6-4 -2
++++> x
2 4 6 8 10
2 4 6 8 10
-6 -4 -2
(c)
y
(d)
14
14
12
12
10
10
8 -
8
6.
++++→ x
2 4 6 8 10
++
-6 -4 -2
-6 -4 -2
2 4 6 8 10
2.
64
Transcribed Image Text:(a) y (b) y 14 14 12 12 10 10 8 8 ++++ x ++ -6-4 -2 ++++> x 2 4 6 8 10 2 4 6 8 10 -6 -4 -2 (c) y (d) 14 14 12 12 10 10 8 - 8 6. ++++→ x 2 4 6 8 10 ++ -6 -4 -2 -6 -4 -2 2 4 6 8 10 2. 64
Expert Solution
Step 1: Given that

Match the logistic equation with its graph.

y = 12 / (1 + 3e−x)

Step 2: Finding the solutions of the Logistic equation

We have,

At x=0

y=121+3e-0=121+31=124=3

So one pair of the solution is (0,3)

From above all the graph (a), (b), (c), and (d)

We analyze graph (a) is the graph of the given logistic equation.

 

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