Find the range of the given function.
-$$f ( x ) = 4 x ^ { 2 } - 40 x + 98$$
A) $( - \infty , 2 ]$
B) $[ - 2 , \infty )$
C) $[ 5 , \infty )$
D) $( - \infty , - 5 ]$

Question

Quizplus · Accepted Answer

The range of the function is the set of all possible output values. To find the range, we need to find the minimum and maximum values of the function. The minimum value of the function occurs at the vertex, which is at $x = 5$. The maximum value of the function is infinity, since the function increases without bound as $x$ approaches infinity. Therefore, the range of the function is $[ - 2 , \infty )$.

Find the Range of the Given Function f(x)=4x2−40x+98f ( x ) = 4 x ^ { 2 } - 40 x + 98f(x)=4x2−40x+98

Find the Range of the Given Function $f ( x ) = 4 x ^ { 2 } - 40 x + 98$