Practice Test

Question 7 • Mathematics I

What are the domain and range of f of x is equal to 1 sixth to the x th power plus 2 ?

Answer

domain: start set x such that x is a real number end set ; range: start set y such that y is greater than 2 end set

domain: start set x such that x is a real number end set ; range: start set y such that y is greater than negative 2 end set

domain: start set x such that x is greater than negative 1 sixth end set ; range: start set y such that y is greater than 0 end set

domain: start set x such that x is greater than 1 sixth end set ; range: start set y such that y is greater than 2 end set

Explanation

The exponential expression (1/6)^x is defined for every real value of x, so the domain is all real numbers. Its value is always positive and never equals zero. Adding 2 shifts its values up by 2, so f(x) is always greater than 2; the range is y > 2, as stated in choice A.

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