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In the  xy-plane, the graph of the function  f(x) =  x 2 +  bx + 4 does not intersect the  x-axis. Which of the following must be true about  b?

A. −8 ≤  b < −4

B.  b  = −4

C. −4 <  b  < 4

D. b  = 4

E.  4 <  b  ≤ 8

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