Infinite sets may be countable or uncountable. Some examples are: the set of all integers, {..., -1, 0, 1, 2, ...}, is a countably infinite set; and. the set of all real numbers is an uncountably infinite set.
The table models an exponential relationship, and the equation of the table is 
<h3>How to analyze the table of values?</h3>
The table of values is given as:
x 0 1 2 3 4
y 4 2 1 1/2 1/4
The above table shows an exponential model
An exponential model is represented as:

When x = 0 and y = 4, we have

Evaluate
a = 4
When x = 1 and y = 2, we have

Evaluate

Substitute 4 for a
4b = 2
Divide both sides by 4
b = 1/2
Substitute 4 for a and 1/2 for b in 

Hence, the equation of the table is 
Read more about exponential models at:
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Answer:
Option D
Step-by-step explanation:
f(x) =
Transformed form of the function 'f' is 'g'.
g(x) = 
Property of vertical stretch or compression of a function,
k(x) = x
Transformed function → m(x) = kx
Here, k = scale factor
1). If k > 1, function is vertically stretched.
2). If 0 < k < 1, function is vertically compressed.
From the given functions, k = 
Since, k is between 0 and
, function f(x) is vertically compressed by a scale factor
.
g(x) = f(x + 4) represents a shift of function 'f' by 4 units left.
g(x) = f(x - 4) represents a shift of function 'f' by 4 units right.
g(x) = 
Therefore, function f(x) has been shifted by 4 units left to form image function g(x).
Option D is the answer.
Answer:
B. 
Step-by-step explanation:
Let
, we solve for
by algebraic means.
1)
Given
2)
Definition of power/Symmetry of equality
3)
Compatibility with addition/Commutative and associative properties/Existence of additive inverse/Modulative property
4)

5)
Result
Hence, the correct answer is B.