Which of the following functions passes through the point $( 0,10 ) \text { and satisfies }$ $f ^ { t } ( x ) = 12 ?$
A) $f ( x ) = 10 x + 12$
B) $f ( x ) = \frac { 12 } { x }$
C) $f ( x ) = 12 x + 10$
D) $f ( x ) = 10 x$
E) $f ( x ) = \frac { 12 } { x } + 10$

Question

Quizplus · Accepted Answer

Since the function satisfies $f^t(x)=12$ for all $x$, we know that the function has a constant derivative of $12$. Therefore, the function is of the form $f(x) = 12x + C$, where $C$ is a constant. Plugging in $(0,10)$, we get $10 = C$, so the function is $f(x) = 12x + 10$.

Which of the Following Functions Passes Through the Point (0,10) and satisfies ( 0,10 ) \text { and satisfies }(0,10) and satisfies

Which of the Following Functions Passes Through the Point $( 0,10 ) \text { and satisfies }$