Graph the function f(x) = x3 – 4x – 1. Which are approximate solutions for x when f(x) = 0? Check all that apply. –2.11 –1.86 –0
.25 0.25 1.86 2.11
2 answers:
Answer:
-1.86, -0.25 and 2.11
Step-by-step explanation:
In the figure attached a plot of the function is shown. The solutions for x when f(x) = 0 are also given.
To check if a given x is solution of f(x) = 0, just replace x value in the formula and verify if the function is or not equal to zero.
x f(x)
-2.11 (-2.11)^3 - 4(-2.11) -1 = -1.95
-1.86 (-1.86)^3 - 4(-1.86) -1 ≅ 0
-0.25 (-0.25)^3 - 4(-0.25) -1 ≅ 0
0.25 (0.25)^3 - 4(0.25) -1 = -1.98
1.86 (1.86)^3 - 4(1.86) -1 = -2
2.11 (2.11)^3 - 4(2.11) -1 ≅ 0
Therefore, the solutions are: -1.86, -0.25 and 2.11
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