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Use the X-Intercepts to Find the Intervals on Which the Graph

Question 174

Multiple Choice

Use the x-intercepts to find the intervals on which the graph of f is above and below the x-axis.
- f(x) =(x+18) 2(x2) 5f ( x ) = \left( x + \frac { 1 } { 8 } \right) ^ { 2 } ( x - 2 ) ^ { 5 }


A) above the xx -axis: (18,2) \left( - \frac { 1 } { 8 } , 2 \right)
below the x-axis: (,18) ,(2,) \left( - \infty , - \frac { 1 } { 8 } \right) , ( 2 , \infty )

B) above the x-axis: (,18) \left( - \infty , - \frac { 1 } { 8 } \right) ,
below the xx -axis: (18,2) \left( - \frac { 1 } { 8 } , 2 \right)

C) above the xx -axis: (,18) ,(18,2) \left( - \infty , - \frac { 1 } { 8 } \right) , \left( - \frac { 1 } { 8 } , 2 \right)
below the xx -axis: (2,) ( 2 , \infty )

D) above the xx -axis: (2,) ( 2 , \infty )
below the xx -axis: (,18) ,(18,2) \left( - \infty , - \frac { 1 } { 8 } \right) , \left( - \frac { 1 } { 8 } , 2 \right)

Correct Answer:

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