How to show if a function is even or odd
Asked by admin @ in Mathematics viewed by 266 People
Determine if this function is even, odd or neither. Explain/Show work.
f(x) = 5x + x^3
Answered by admin @
Answer:
Odd
Step-by-step explanation:
To determine if a function is even or odd, substitute -x for every x in the function. Then, simplify. If you receive the same function as before, then the function is even. If you receive a function in which all the terms' signs have been switched, then it is odd. If the function does not qualify as either, then it is neither.
1) Substitute -x for every x in the given function and simplify as shown:
2) Look at the answer. All the signs in the original function have now been switched. The signs were originally positive, but now they are negative. Thus, this function is odd.
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