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12 December, 11:13

The graph of f (x) = x3 - 3x2 + 4 is shown.

Based on the graph, how many distinct real number solutions does the equation x3 - 3x2 + 4 = 0 have?

no real number solution

one real number solution

two real number solutions

three real number solutions

+2
Answers (1)
  1. 12 December, 12:33
    0
    There are two real number solutions.

    The number of real solutions is shown by the number of times the graph intersects the x-axis. The graph of f (x) = x^3 - 3x^2 + 4 passes through x = - 1, and bounces off x = 2. This means that x = - 1 is a solution, and x = 2 is also a solution (of multiplicity 2).
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