Question

The quadratic function f(x)=x^2+2x−15
is shown in the graph. Determine the domain and range of this function.

(1 point)
Responses

domain R
; range y≤−16

domain negative infinity less-than-or-equal-to x less-than-or-equal-to infinity ; range y is less than or equal to negative 16

domain R
; range y≥−16

domain the real numbers ; range y is greater than or equal to negative 16

domain R
; range R

domain the real numbers ; range the real numbers

domain R
; range y≥16

Answer 1

Domain: all real numbers (−∞, ∞).
Range: y ≥ −16.

Reason: The parabola opens upward (coefficient of x^2 is 1), vertex at x = −1 gives minimum value f(−1) = −16, so y cannot be less than −16.