Which statement best describes how to determine whether f(x) = 9 – 4x2 is an odd function?
2 answers:
For this case we have the following definitions:
A function is even if, for each x in the domain of f, f (- x) = f (x). The even functions have reflective symmetry through the y-axis.
A function is odd if, for each x in the domain of f, f (- x) = - f (x). The odd functions have rotational symmetry of 180º with respect to the origin.
We then have the following function:
Applying the definitions we have:
Answer:
The function is not odd because it is fulfilled:
Therefore, the function is even.
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Answer:
y = -
Step-by-step explanation:
Given
The denominator of the expression cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the value that y cannot be, that is
4y + 2 = 0 ( subtract 2 from both sides )
4y = - 2 ( divide both sides by 4 )
y = = -
← excluded value