Write a cubic function whose graph goes through the points: (-5, 0) (1, 0) (2, -2) (4, 0)
1 answer:
Answer:
f(x) =
Step-by-step explanation:
Let the equation of the give cubic function is,
f(x) = p(x - a)(x - b)(x - c)
Here, a, b, c and d are the x-intercepts of the given graph.
Since, x-intercepts given in the graph are x = -5, 1 and 4,
Equation of the curve will be,
f(x) = p(x + 5)(x - 1)(x - 4)
Since, the graph of this function passes through (2, -2) also
-2 = p(2 + 5)(2 - 1)(2 - 4)
-2 = -p(14)
p =
p =
Therefore, equation will be,
f(x) =
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This is represented by
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