In the equation f(x) = a3x, if a = , 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
A
Analysis
The function f(x) = a⋅3x represents an exponential function. The base 3 is greater than 1, which means 3x will increase rapidly as x increases.
The value of a = scales the entire function down, meaning that while the graph will still grow, it will start from a smaller value compared to if a were larger.
Values at Specific Points:
At x = 0: f(0)= ⋅ 30 =
At x = 1: f(1)= ⋅ 31 =
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