Question: Which of the following functions is continuous everywhere?
Options:
f(x) = 1/x
f(x) = x^2
f(x) = sin(x)
f(x) =
x
Correct Answer: f(x) = x^2
Solution:
f(x) = x^2 is a polynomial function and is continuous everywhere.
Which of the following functions is continuous everywhere?
Practice Questions
Q1
Which of the following functions is continuous everywhere?
f(x) = 1/x
f(x) = x^2
f(x) = sin(x)
f(x) =
Questions & Step-by-Step Solutions
Which of the following functions is continuous everywhere?
Step 1: Understand what a continuous function is. A function is continuous everywhere if you can draw its graph without lifting your pencil from the paper.
Step 2: Identify the type of function given in the question. The function f(x) = x^2 is a polynomial function.
Step 3: Know that polynomial functions (like f(x) = x^2) are continuous everywhere on the real number line.
Step 4: Conclude that since f(x) = x^2 is a polynomial function, it is continuous everywhere.
No concepts available.
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