Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Join our Q&A platform and get accurate answers to all your questions from professionals across multiple disciplines. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.
Sagot :
The domain of a function is the set of input values the function can take, while the range is the set of output values of the function
The true statements are: statements (a) and (c)
(a) Range and the domain of [tex]f(x) = \sqrt x[/tex] and [tex]f(x) = 2\sqrt {x[/tex].
Both functions are square root functions, and they have the same range and domain
Hence, statement (a) is true
(b) Range and the domain of [tex]f(x) = \sqrt x[/tex] and [tex]f(x) =-2 \sqrt {x[/tex].
Both functions are square root functions, with the same domain.
However, [tex]f(x) = -2\sqrt x[/tex] has a negative range
Hence, statement (b) is false
(c) Range and the domain of [tex]f(x) = \sqrt x[/tex] and [tex]f(x) = -\sqrt {x[/tex].
Both functions are square root functions, and they have the same domain but different range
This is so because
[tex]f(x) = -\sqrt x[/tex] has a negative range
Hence, statement (a) is true
(d) Range and the domain of [tex]f(x) = \sqrt x[/tex] and [tex]f(x) =\frac 12 \sqrt {x[/tex].
Both functions are square root functions, with the same domain and range.
Hence, statement (d) is false
Read more about domain and range at:
https://brainly.com/question/2264373
We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.