Which statements accurately describe the function f(x) = 3 sqrt 18? algebra II engenuity

Answer:The statements which accurately describe f(x) areThe domain is all real numbers ⇒ 1st answerThe initial value of 3 ⇒ 3rd answerThe simplified base is 3√2 ⇒ last answerStep-by-step explanation:* Lets explain how to solve the problem- The form of the exponential function is f(x) = a(b)^x, where a is the   initial value , b is the base and x is the exponent- The values of a and b are constant- The domain of the function is the values of x which make the function   defined- The range of the function is the set of values of y that correspond   with the domain* Lets solve the problem∵ [tex]f(x)=3(\sqrt{18}) ^{x}[/tex]- The simplest form of is :∵ √18 = √(9 × 2) = √9 × √2∵ √9 = 3∴ √18 = 3√2∴ [tex]f(x)=3(3\sqrt{2})^{x}[/tex]∵ [tex]f(x)=a(b)^{x}[/tex]∴ a = 3 , b = 3√2∴ The initial value is 3∴ The simplified base is 3√2- The exponent x can be any number∴ The domain of the function is x = (-∞ , ∞) or {x : x ∈ R}- There is no value of x makes y = 0 or negative number∴ The range is y = (0 , ∞) or {y : y > 0}* Lets find the statements which accurately describe f(x)# The domain is all real numbers∵ The domain is {x : x ∈ R}∴ The domain is all real numbers# The initial value is 3∵ a = 3∵ a is the initial value ∴ The initial value of 3# The simplified base is 3√2∵ b = √18∵ b is the base∵ The simplified of √18 is 3√2∴ The simplified base is 3√2- For more understand look to the attached graph