Question

The function f(x) = –x2 − 2x + 15 is shown on the graph. What are the domain and range of the function?

Answer 1

f(x)=x2−2x−15f(x)=x2-2x-15The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.(−∞,∞)(-∞,∞){x|x∈R}{x|x∈ℝ}Locate the vertex of the parabola.Tap for more steps...(1,−16)(1,-16)The range of a parabola that opens up starts at its vertex (1,−16)(1,-16) and extends to infinity.[−16,∞)[-16,∞){y|y≥−16}{y|y≥-16}Determine the domain and range.Domain: (−∞,∞),{x|x∈R}(-∞,∞),{x|x∈ℝ} for any integer nnRange: [−16,∞),{y|y≥−16}[-16,∞),{y|y≥-16}