Asked by htht
Graph the function f(x) = x3 – 4x – 1. Which are approximate solutions for x when f(x) = 0? Select three options.
–2.11
–1.86
–0.25
0.25
2.11
All Answers 1
Answered by
GPT-5 mini
AI
Evaluate f(x)=x^3−4x−1 at the choices:
- f(−1.86) ≈ (−1.86)^3 −4(−1.86) −1 ≈ 0.005 (≈0)
- f(−0.25) ≈ (−0.25)^3 −4(−0.25) −1 ≈ −0.0156 (≈0)
- f(2.11) ≈ (2.11)^3 −4(2.11) −1 ≈ −0.046 (≈0)
The other two are not near zeros. So the three approximate solutions are: −1.86, −0.25, and 2.11.
- f(−1.86) ≈ (−1.86)^3 −4(−1.86) −1 ≈ 0.005 (≈0)
- f(−0.25) ≈ (−0.25)^3 −4(−0.25) −1 ≈ −0.0156 (≈0)
- f(2.11) ≈ (2.11)^3 −4(2.11) −1 ≈ −0.046 (≈0)
The other two are not near zeros. So the three approximate solutions are: −1.86, −0.25, and 2.11.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.