How do you know if #f(x) = 4x^2 + x^4 120# is an even or odd function?
This function is even, because all the exponents of
For the given function we get:
The function is even.
By signing up, you agree to our Terms of Service and Privacy Policy
To determine if a function is even or odd, we evaluate whether it satisfies the properties of even or odd functions.

Even Function: f(x) is even if f(x) = f(x) for all x in the domain.

Odd Function: f(x) is odd if f(x) = f(x) for all x in the domain.
For the function f(x) = 4x^2 + x^4  120:

Even Function Test: f(x) = 4(x)^2 + (x)^4  120 = 4x^2 + x^4  120 (same as f(x))
Since f(x) = f(x), the function satisfies the condition for even functions.

Odd Function Test: f(x) = 4(x)^2 + (x)^4  120 = 4x^2 + x^4  120
However, for the function to be odd, we need f(x) = f(x).
f(x) = [4x^2 + x^4  120] = 4x^2  x^4 + 120
Since f(x) is not equal to f(x), the function does not satisfy the condition for odd functions.
Therefore, the function f(x) = 4x^2 + x^4  120 is an even function.
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
 How do you find the vertical, horizontal or slant asymptotes for #f(x) = (4x) / (x^2+1)#?
 How do you find the domain of #f(x) = ((x + 8)^(1/2)) /( (x + 3)(x  2))#?
 How do you find the vertical, horizontal or slant asymptotes for #f(x)=(2x4)/(x^24) #?
 How do you find vertical, horizontal and oblique asymptotes for #[(3x^2) + 14x + 4] / [x+2]#?
 How do you find the vertical, horizontal and slant asymptotes of: #f(x) = (6x + 6) / (3x^2 + 1)#?
 98% accuracy study help
 Covers math, physics, chemistry, biology, and more
 Stepbystep, indepth guides
 Readily available 24/7