In the xy-plane, the graph of the function f(x) = x2 + 5x + 4 has two x-intercepts. What is the distance between the x-intercepts?

Correct answer: C. 3

  • A. 1
  • B. 2
  • C. 3
  • D. 4
  • E. 5

Explanation

To find the distance between these two points, we can use the distance formula: d = |x₂ - x₁| where x₁ = -1 and x₂ = -4. Substituting the values, we get: d = |-4 - (-1)| = |-4 + 1| = 3 Therefore, the distance between the x-intercepts is 3. Hence, the correct option is (C) 3.

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