Question: When the degree is even: The function values are never negative when the coefficient is positive (such as f ( x ) = x 8

When the degree is even: The function values are never negative when the coefficient is positive (such as f ( x ) = x 8 or g ( x ) = 3 x 4 ). The function values are never positive when the coefficient is negative (such as f ( x ) = x 12 or g ( x ) = 0.25 x 6 ). When the degree is odd: If the coefficient is positive (such as f ( x ) = x 5 or g ( x ) = ( 1 2 ) x 3 ), the function values are positive when x > 0 and negative when x < 0 . If the coefficient is negative (such as f ( x ) = x 7 or g ( x ) = 6 x 13 ), the function values are negative when x > 0 and positive when x < 0 . Untried Let f ( x ) = 2 x 6 , g ( x ) = 7 x 2 , h ( x ) = ( 1 2 ) x 5 , and j ( x ) = x 19 . Without evaluating, determine the sign of each of the following. - f ( 4.6 ) - g ( 3.2 ) - h ( 0 ) - j ( 1 7 ) - f ( 0.4 ) - g ( 5.8 ) - h ( 0.11 ) - j ( 0 )

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!