The function h(x)= 12x^8+ 49 is an even function. Which transformation of h(x) would result una function that is neither even or odd?
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Answer:
- reflecting over x -axis
Step-by-step explanation:
Given equation
[tex]$ h(x) = 12x^8 +49 $[/tex]
Now, [tex]$ h(-x) = 12(-x)^8 +49 $[/tex]
= [tex]$ - 12x^8 +49 $[/tex]
Therefore, h(x) ≠ h(-x) ≠ -h(-x)
So, the function is neither odd nor even.
Therefore, reflecting the equation over x - axis would result a function that in neither even nor odd.