Give the domain and range of the relation.
-Find $f ( k )$ when $f ( x ) = 3 x ^ { 2 } + 4 x + 5$
A) $9 k ^ { 2 } + 16 k + 25$
B) $3 k ^ { 2 } + 4 k + 5$
C) $3 k ^ { 2 } + 16 k + 5$
D) $3 \mathrm { k } ^ { 2 } + 4 \mathrm { k } + 25$

Question

Quizplus · Accepted Answer

The domain of the given function is all real numbers since there are no restrictions on the values that $x$ can take. The range is all real numbers greater than or equal to the vertex's y-coordinate because the coefficient of $x^2$ is positive, indicating a parabola that opens upwards. To find $f(k)$, simply replace $x$ with $k$ in the given function, resulting in $f(k) = 3k^2 + 4k + 5$.

Give the Domain and Range of the Relation f(k)f ( k )f(k)

Give the Domain and Range of the Relation $f ( k )$