Question

HELP
Let f(x) = sin 1 x. Then, the domain of f(x) is (-1,1] and the range is all real
numbers.
A. True
B. False

Answer 1

The answer to this question is b

Answer 2

Option-B- False is the correct choice

We have a function - f(x) = sin x

We have to justify, whether the statement provided to is true or false.

Statement - the domain of f(x) is (-1,1] and the range is all real numbers.

What do you mean by domain and range of a function?

For any function y = f(x), Domain is the set of all possible values of y that exists for different values of x. Range is the set of all values of x for which y exists.

We have -

$f(x)=sin\;x$

Refer to the figure attached, the graph represents $y=f(x)=sin\;x$. It can be seen that the domain of $sin\;x$ is between [1,1] (including both 1 and -1) and range of the function $sin\;x$ is all possible real numbers.

In the statement - it is mentioned that the domain is (-1, 1], including 1 and excluding -1, and range is all real numbers. But the domain of the function $sin\;x$ includes -1 in its domain. Hence the statement is false.

Hence, Option-B- False is the correct choice

To solve more questions on finding the domain and range of functions visit the link below -

https://brainly.com/question/1632425

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