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

Question

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

Quizplus · Accepted Answer

The leading term of the polynomial $f(x) = 2x^2 - 3x + 5$ is $2x^2$, which has a positive coefficient. This means the graph opens upwards, rising to the left and to the right.

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