Graphing Exponential Functions — Quiz

Question 5 • Algebra 2 with Probability

What are the domain and range of the function f of x is equal to 3 to the x th power plus 5 ?

Answer

domain: open paren negative infinity comma infinity close paren ; range: open paren 5 comma infinity close paren

domain: open paren 5 comma infinity close paren ; range: open paren negative infinity comma infinity close paren

domain: open paren 0 comma infinity close paren ; range: open paren negative infinity comma infinity close paren

domain: open paren negative infinity comma infinity close paren ; range: open paren 0 comma infinity close paren

Explanation

The exponential expression 3^x is defined for every real number x, so the domain is all real numbers, or (−∞, ∞). Also, 3^x is always positive, so its values are greater than 0. Adding 5 shifts those values up by 5, making the range (5, ∞). Therefore, the correct choice is B: domain (−∞, ∞); range (5, ∞).

AI-written and checked against the verified answer.

More from this Course

Quiz

Quiz

Quiz