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If f(x) = x^3 - 3x + 2, then f(x) is continuous at:
If f(x) = x^3 - 3x + 2, then f(x) is continuous at:
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Practice Questions
1 question
Q1
If f(x) = x^3 - 3x + 2, then f(x) is continuous at:
All x
x = 0
x = 1
x = -1
Show Solution
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f(x) is a polynomial function and is continuous for all x.
Questions & Step-by-step Solutions
1 item
Q
Q: If f(x) = x^3 - 3x + 2, then f(x) is continuous at:
Solution:
f(x) is a polynomial function and is continuous for all x.
Steps: 4
Show Steps
Step 1: Identify the function 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 the real number line.
Step 4: Conclude that since f(x) is a polynomial, it is continuous for all values of x.
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