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wel
2 years ago
13

Determine whether the function f(x) = 3(x − 1)4 is even or odd.

Mathematics
2 answers:
notsponge [240]2 years ago
5 0

Answer:

The function is neither even nor odd.    

Step-by-step explanation:

Given : Function f(x)=3(x-1)^4

To find : Determine whether the function is even or odd ?

Solution :

Rules to determine the function is even or odd :

If f(x)=f(-x) then the function is even.

If f(x)=-f(x) then the function is odd.

Now, Test for even function

f(x)=3(x-1)^4

f(-x)=3(-x-1)^4

f(-x)=3(-(x+1)^4

f(-x)=3(x+1)^4

f(x)\neq f(-x) so function is not even.

Test for odd function,

f(x)=3(x-1)^4

-f(x)=-3(x-1)^4

f(x)\neq -f(x) so function is not odd.

So, The function is neither even nor odd.

Mama L [17]2 years ago
4 0

Answer:

Other answer.

Step-by-step explanation:

f(x) = 3(x-1)^4\\ f(-x) = 3(-x-1)^4 = 3\big(-(x+1)\big)^4 = 3(x+1)^4 \\ \\ f(-x)\neq f(x) \\ f(-x)\neq -f(x)\\ \\ \Rightarrow \text{The function is neither odd or even}

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