please help in this

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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

Please show your working and explain each step

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