The constant function f(x) = 5 yields the same output of 5 for all inputs, making it non-one-to-one. Both f(-2) and f(1) equal 5.
The function f(x) = 5 is a constant function, meaning it assigns the same value, 5, to every input x. In this case, it is not a one-to-one function because different inputs are mapped to the same output. A one-to-one function (or injective function) ensures that distinct inputs have distinct outputs.
For the given function, f(x) = 5, both f(-2) and f(1) would be equal to 5. This is because, regardless of the input, the output is always the constant value of 5. So, f(-2) = 5 and f(1) = 5.
For the constant function f(x) = 5, both f(-2) and f(1) are equal to 5, demonstrating that the function is not one-to-one.
Complete question:
The function f(x) = 5 is one-to-one. Find the following values, f(-2) and f(1).