Give the domain and range of the function.
-$f(x)=-4 x^{2}-2$
A) Domain: $(-\infty, \infty)$; range: $(-2, \infty)$
B) Domain: $(-\infty, \infty)$; range: $(-\infty,-2)$
C) Domain: $(-\infty, \infty)$; range: $(-\infty, \infty)$
D) Domain: $(-4, \infty)$; range: $(2, \infty)$

Question

Quizplus · Accepted Answer

The domain of a quadratic function is always $(-\infty, \infty)$ because you can input any real number for $x$. The range is $(-\infty,-2)$ because the function opens downwards (since the coefficient of $x^2$ is negative), and its vertex gives the maximum value of the function, which is $-2$.

Give the Domain and Range of the Function f(x)=−4x2−2f(x)=-4 x^{2}-2f(x)=−4x2−2 A) Domain

Give the Domain and Range of the Function $f(x)=-4 x^{2}-2$ A) Domain