Problem 92
Question
Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. The function \(f(x)=5\) is one-to-one.
Step-by-Step Solution
Verified Answer
The statement that the function \(f(x) = 5\) is a one-to-one function is false.
1Step 1: Verify the Statement
Evaluate the given function. In this case, for the function \(f(x) = 5\), no matter the value of x, the result will always be 5. Thus, this function is not one-to-one because it does not produce a different output for each unique input.
2Step 2: Identify the False Statement
The given statement was 'The function \(f(x) = 5\) is one-to-one.' Given the findings from the previous step, this statement is false because the function does not meet the requirements to be termed as a one-to-one function.
3Step 3: Correct the Statement
To correct the statement, it should be revised to reflect the true nature of the function. The correct statement would be: 'The function \(f(x) = 5\) is not one-to-one.'
Other exercises in this chapter
Problem 91
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