Which of the following must be true about b?

In the xy-plane, the graph of the function f(x) = x2 + 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

I would need a comprehensive explanation on how you arrived at your answer so I’ll know how to it the next time around. Thanks!

 
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