(B) Increasing function is [tex]f(x)=6^{x}[/tex].
Function:
- A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X.
- The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
- Initially, functions represented the idealized relationship between two changing quantities.
Increasing function:
- Calculus uses a function's derivative to determine whether a function is increasing or decreasing at various intervals in a specific domain.
- For a given function, y = F(x), the function is known as an increasing function if the value of y increases as the value of x increases, and the function is known as a decreasing function if the value of y decreases as the value of x increases.
Therefore, the correct increasing function is (B) [tex]f(x)=6^{x}[/tex].
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