Select the linear function such that it has the indicated function values.
$f ( 8 ) = 16 , f ( - 3 ) = - 17$
A) $f ( x ) = 3 x - 8$
B) $f ( x ) = - 3 x + 3$
C) $f ( x ) = 3 x + 8$
D) $f ( x ) = 8 x + 3$
E) $f ( x ) = - 3 x - 3$

Question

Select the linear function such that it has the indicated function values. 
 $f ( 8 ) = 16 , f ( - 3 ) = - 17$  
A) $f ( x ) = 3 x - 8$
B) $f ( x ) = - 3 x + 3$
C) $f ( x ) = 3 x + 8$
D) $f ( x ) = 8 x + 3$
E) $f ( x ) = - 3 x - 3$

Quizplus · Accepted Answer

To find the correct linear function, we can substitute the given values into each option and see which one satisfies both conditions. For option A, $f(8) = 3(8) - 8 = 24 - 8 = 16$ and $f(-3) = 3(-3) - 8 = -9 - 8 = -17$, which matches the given function values.

Select the Linear Function Such That It Has the Indicated f(8)=16,f(−3)=−17f ( 8 ) = 16 , f ( - 3 ) = - 17f(8)=16,f(−3)=−17

Select the Linear Function Such That It Has the Indicated $f ( 8 ) = 16 , f ( - 3 ) = - 17$