$f ( x ) = 0.3 x ^ { 5 } + 3 x ^ { 4 } - 2 x ^ { 3 } + 3 x ^ { 2 } + 2$
A) [-5000,5000] by [-150,150]
B) [-10,10] by [-1200,2000]
C) [-6,6] by [-3000,3000]
D) [-20,20] by [-5000,8000]

Question

$f ( x ) = 0.3 x ^ { 5 } + 3 x ^ { 4 } - 2 x ^ { 3 } + 3 x ^ { 2 } + 2$
A)  [-5000,5000]  by  [-150,150] 
B)  [-10,10]  by  [-1200,2000] 
C)  [-6,6]  by  [-3000,3000] 
D)  [-20,20]  by  [-5000,8000]

Quizplus · Accepted Answer

The range [-20,20] by [-5000,8000] is large enough to capture the behavior of the polynomial function $f(x)$ given its degree and coefficients.

f(x)=0.3x5+3x4−2x3+3x2+2f ( x ) = 0.3 x ^ { 5 } + 3 x ^ { 4 } - 2 x ^ { 3 } + 3 x ^ { 2 } + 2f(x)=0.3x5+3x4−2x3+3x2+2

$f ( x ) = 0.3 x ^ { 5 } + 3 x ^ { 4 } - 2 x ^ { 3 } + 3 x ^ { 2 } + 2$