For the following exercises, determine whether or not the given function f is continuous everywhere...f(x) = log2 (x)

For the following exercises, determine whether or not the given function f is continuous everywhere. If it is continuous everywhere it is defined, state for what range it is continuous. If it is discontinuous, state where it is discontinuous.

f(x) = log2 (x)

Expert Solution

A function is said to be continuous in an interval if it is defined for every value within that interval.

Consider the following function:

f(x) = log2x

For the function f(x) = log2x, value of is always greater than 0.

So the function is not defined at x ≤ 0.

Hence the function f(x) = log2x is discontinuous at (-∞, 0]

And, the function f(x) = log2x is continuous at (0, ∞).

So the function is not defined at x ≤ 0.

Junaid answered 1 year ago

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Question

For the following exercises, determine whether or not the given function f is continuous everywhere...f(x) = log2 (x)

Solutions

Expert Solution

Related Solutions

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