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The function f(x) = x^3 - 3x is continuous at which of the following points? (20
The function f(x) = x^3 - 3x is continuous at which of the following points? (2023)
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Practice Questions
1 question
Q1
The function f(x) = x^3 - 3x is continuous at which of the following points? (2023)
x = -2
x = 0
x = 2
All of the above
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The function f(x) = x^3 - 3x is a polynomial function and is continuous at all points, including -2, 0, and 2.
Questions & Step-by-step Solutions
1 item
Q
Q: The function f(x) = x^3 - 3x is continuous at which of the following points? (2023)
Solution:
The function f(x) = x^3 - 3x is a polynomial function and is continuous at all points, including -2, 0, and 2.
Steps: 4
Show Steps
Step 1: Understand what a continuous function is. A function is continuous if you can draw it without lifting your pencil from the paper.
Step 2: Identify the type of function given. The function f(x) = x^3 - 3x is a polynomial function.
Step 3: Know that polynomial functions are continuous everywhere. This means they do not have any breaks, holes, or jumps.
Step 4: Since f(x) is a polynomial, it is continuous at all points on the number line, including the specific points -2, 0, and 2.
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