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For the function f(x) = x^3 - 3x + 2, find the points of discontinuity.
For the function f(x) = x^3 - 3x + 2, find the points of discontinuity.
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Practice Questions
1 question
Q1
For the function f(x) = x^3 - 3x + 2, find the points of discontinuity.
None
x = 1
x = -1
x = 2
Show Solution
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f(x) is a polynomial function and is continuous everywhere, hence no points of discontinuity.
Questions & Step-by-step Solutions
1 item
Q
Q: For the function f(x) = x^3 - 3x + 2, find the points of discontinuity.
Solution:
f(x) is a polynomial function and is continuous everywhere, hence no points of discontinuity.
Steps: 4
Show Steps
Step 1: Identify the function given, which is f(x) = x^3 - 3x + 2.
Step 2: Recognize that this function is a polynomial function.
Step 3: Understand that polynomial functions are continuous everywhere on their domain.
Step 4: Conclude that since f(x) is a polynomial, there are no points of discontinuity.
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