Select the correct description of right-hand and left-hand behavior of the graph of the polynomial function. $f ( t ) = - \frac { 3 } { 5 } \left( t ^ { 2 } - 4 t + 5 \right)$
A)Rises to the left, rises to the right
B)Falls to the left, rises to the right
C)Falls to the left, falls to the right
D)Rises to the left, falls to the right
E)Rises to the left

Question

Select the correct description of right-hand and left-hand behavior of the graph of the polynomial function.   $f ( t ) = - \frac { 3 } { 5 } \left( t ^ { 2 } - 4 t + 5 \right)$  
A)Rises to the left, rises to the right
B)Falls to the left, rises to the right
C)Falls to the left, falls to the right
D)Rises to the left, falls to the right
E)Rises to the left

Quizplus · Accepted Answer

The leading term of the polynomial $f(t) = -\frac{3}{5}(t^2 - 4t + 5)$ is $-\frac{3}{5}t^2$. Since the coefficient of the leading term is negative, the graph falls to the left and falls to the right, indicating a downward opening parabola.

Select the Correct Description of Right-Hand and Left-Hand Behavior of the Graph