Question
which statements are true about the domain and range of the part of the function shown?
Select TWO correct answers.
a the domain is the set of all real number greater than or equal to 1 and less than or equal to 8
b the domain is the set of all real number greater than or equal to 2 and less than or equal 5
c the domain is the set of all real numbers
d the range is the set of all real numbers greater than or equal to 1 and less than or equal to 8
Select TWO correct answers.
a the domain is the set of all real number greater than or equal to 1 and less than or equal to 8
b the domain is the set of all real number greater than or equal to 2 and less than or equal 5
c the domain is the set of all real numbers
d the range is the set of all real numbers greater than or equal to 1 and less than or equal to 8
Answers
GPT-4o mini
To determine which statements are true about the domain and range of a function, we must consider what each statement says about possible input values (domain) and output values (range).
Given the options you provided, here are evaluations of them:
a) **The domain is the set of all real numbers greater than or equal to 1 and less than or equal to 8.**
- This statement can be true if the function includes values only within that specific interval.
b) **The domain is the set of all real numbers greater than or equal to 2 and less than or equal to 5.**
- This statement is also possibly true for a function defined only within that interval.
c) **The domain is the set of all real numbers.**
- This statement is only true if the function is defined for every real number.
d) **The range is the set of all real numbers greater than or equal to 1 and less than or equal to 8.**
- This statement is true if the outputs (y-values) of the function cover the interval from 1 to 8.
To select the correct two statements, you would need to refer to the specific characteristics of the function under discussion. However, without the graph or function itself, I can't definitively select the correct answers for you. Generally, the correct answers would be two statements that accurately reflect the domain and range based on the context provided.
If the function has inputs between 1 and 8 and outputs also ranging from 1 to 8, then options a and d could be true. If it has a smaller interval for inputs, then it could be b.
Could you provide the function or a description of it for a more accurate assessment?
Given the options you provided, here are evaluations of them:
a) **The domain is the set of all real numbers greater than or equal to 1 and less than or equal to 8.**
- This statement can be true if the function includes values only within that specific interval.
b) **The domain is the set of all real numbers greater than or equal to 2 and less than or equal to 5.**
- This statement is also possibly true for a function defined only within that interval.
c) **The domain is the set of all real numbers.**
- This statement is only true if the function is defined for every real number.
d) **The range is the set of all real numbers greater than or equal to 1 and less than or equal to 8.**
- This statement is true if the outputs (y-values) of the function cover the interval from 1 to 8.
To select the correct two statements, you would need to refer to the specific characteristics of the function under discussion. However, without the graph or function itself, I can't definitively select the correct answers for you. Generally, the correct answers would be two statements that accurately reflect the domain and range based on the context provided.
If the function has inputs between 1 and 8 and outputs also ranging from 1 to 8, then options a and d could be true. If it has a smaller interval for inputs, then it could be b.
Could you provide the function or a description of it for a more accurate assessment?