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For the function f(x) = x^3 - 3x + 2, find the points of discontinuity.
Practice Questions
Q1
For the function f(x) = x^3 - 3x + 2, find the points of discontinuity.
None
x = 1
x = -1
x = 2
Questions & Step-by-Step Solutions
For the function f(x) = x^3 - 3x + 2, find the points of discontinuity.
Steps
Concepts
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.
Continuity of Polynomial Functions
– Polynomial functions are continuous everywhere on their domain, which is all real numbers.
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