Find the range of the quadratic function in interval notation.
-$$f ( x ) = x ^ { 2 } + 8 x + 6$$
A) $( - \infty , - 42 ]$
B) $[ - 10 , \infty )$
C) $[ 4 , \infty )$
D) $( - \infty , - 10 ]$

Question

Quizplus · Accepted Answer

The quadratic function opens upwards (positive leading coefficient) and its vertex form is $f(x) = (x+4)^2 - 10$, so the minimum value is $-10$ at $x = -4$. Thus, the range is $[-10, \infty)$.

Find the Range of the Quadratic Function in Interval Notation f(x)=x2+8x+6f ( x ) = x ^ { 2 } + 8 x + 6f(x)=x2+8x+6

Find the Range of the Quadratic Function in Interval Notation $f ( x ) = x ^ { 2 } + 8 x + 6$