In the equation f(x) = 3bx, if b = , what happens to the graph as x increases?
Options
A
It increases exponentially
B
It decreases exponentially
C
It remains constant
D
It oscillates
Answer & Analysis
Answer
B
Analysis
The function f(x) = 3⋅bx represents an exponential function where 'b' is the base raised to the power of x. Here, 'b' is , which is a fraction less than 1.
In exponential functions, if the base b is greater than 1, the function increases as x increases.
Conversely, if the base is between 0 and 1 (like ), the function decreases.
For any x>0, (
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