This graph and table each represent functions. -4 -3 -2 T 0 1 2 3 13 5 1 T -2.5 -2.75 -2.875 -10 -8 Which statements are accurate? Select all that apply. -6 -4 The two functions have the same horizontal asymptote. The function represented by the table approaches -3 as x increases. 10 8 6 4 2 -2 O -2 -4 -6 -8 10 2 g(x) 4 6 8 10 X The function represented by the graph is a growth function, and the function represented by the table is a decay function. The function represented by the table is increasing at a greater rate than the function represented by the graph.
This graph and table each represent functions. -4 -3 -2 T 0 1 2 3 13 5 1 T -2.5 -2.75 -2.875 -10 -8 Which statements are accurate? Select all that apply. -6 -4 The two functions have the same horizontal asymptote. The function represented by the table approaches -3 as x increases. 10 8 6 4 2 -2 O -2 -4 -6 -8 10 2 g(x) 4 6 8 10 X The function represented by the graph is a growth function, and the function represented by the table is a decay function. The function represented by the table is increasing at a greater rate than the function represented by the graph.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Transcribed Image Text:This graph and table each represent functions.
T
-3
N
7
0
1
2
13
5
1
F1
--2
-25
-2.75
-2.875
-10 -8 -6
Which statements are accurate? Select all that apply.
The function represented by the table approaches -3 as x increases.
The two functions have the same horizontal asymptote.
10
8
2
-20
2
-4
-8
10
g(x)
2 4
6
8
10
X
The function represented by the graph is a growth function, and the function represented by the table is a
decay function.
The function represented by the table is increasing at a greater rate than the function represented by the
graph.
Expert Solution
Step 1
The exponential functions are usually represented by the function: . If the function is decay function, then and if the function is a growth function, then .
Horizontal asymptote of a curve is the line such that the distance between the line and the curve approaches 0, when.
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