Respuesta :
Answer:
7, 3 all real numbers, Y is greater then 0 ( Y>0)
Step-by-step explanation:
The initial value f(0) = 1/2, the domain is ( -∞ to +∞) and range is (0 to ∞).
What is a Function?
A function is a law that relates two variables namely, a dependent and an independent variable.
A function always has a defined range and domain, domain is all the value a function can have as an input and range is all the value that a function can have.
The function is of various types, logarithmic, exponential, quadratic, radiacl etc.
The function is
f(x) = 7((RootIndex 3 StartRoot 54 EndRoot Superscript x Baseline))
[tex]\rm f(x) = \dfrac{1}{2} 27 ^{2x/3}[/tex]
The exponents can be solved by exponent rule
27 = 3³
[tex]\rm f(x) = \dfrac{1}{2} (3^3) ^{2x/3}[/tex]
By exponent rule
(a ˣ)ᵇ = aˣᵇ
[tex]\rm f(x) = \dfrac{1}{2} (3) ^{2x}[/tex]
f(x) = (1/2) 9ˣ
This is an Exponential function of the form f(x) = abˣ
a = 1/2 , b = 9
The initial value f(0) = 1/2
The domain of an exponential function is a set of all real numbers.
The range of an exponential function is a set of all positive real numbers.
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