Give the domain and range of the relation.
-Find $f \left( \frac { 1 } { 3 } \right)$ when $f ( x ) = - 5 x ^ { 2 } - 6 x - 7$
A) - 2
B) 2
C) $\frac { 86 } { 9 }$
D) $- \frac { 86 } { 9 }$

Question

Quizplus · Accepted Answer

The domain of the quadratic function $f(x) = -5x^2 - 6x - 7$ is all real numbers, and the range is all real numbers less than or equal to the vertex's y-coordinate. To find $f \left( \frac { 1 } { 3 } \right)$, substitute $\frac{1}{3}$ into the function: $f \left( \frac{1}{3} \right) = -5 \left( \frac{1}{3} \right)^2 - 6 \left( \frac{1}{3} \right) - 7 = -\frac{5}{9} - 2 - 7 = -\frac{86}{9}$.

Give the Domain and Range of the Relation f(13)f \left( \frac { 1 } { 3 } \right)f(31​)

Give the Domain and Range of the Relation $f \left( \frac { 1 } { 3 } \right)$