N/A — Exam

Question 35 • Mathematics I

What are the domain and range of f of x is equal to 4 to the x th power minus 8 ?

Answer

domain: start set x such that x is greater than negative 4 end set ; range: start set y such that y is greater than 8 end set

domain: start set x such that x is greater than 4 end set ; range: start set y such that y is greater than negative 8 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 8 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 8 end set

Explanation

The exponential expression 4^x is defined for every real value of x, so the domain is all real numbers. Also, 4^x is always positive, so subtracting 8 gives values strictly greater than −8, but never equal to −8. Therefore, the correct choice is D: domain is all real numbers and range is y > −8.

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