Respuesta :

thomasin
Find the inverse of the function to tell if it is odd. Generally, the function with an odd exponent will be the answer, but we must check. If the inverse of the function is opposite the original function, than it is odd. 

f(x)=0.8x^3

f(-x)=0.8(-x)^3

there is only one term, and -x makes the term negative in the inverse

your answer if f(x)=0.8x^3


If you look at the table, you will see the values go down and then up, meaning the function is a hyperbola. Hyperbolic functions always have x^4. 

you answer is 4




Catya
A function is odd when symmetric with the origin, f(-x) = -f(x).
Odd functions will have odd exponents! :-) 
although the line 3x - 1 has an odd exponent of 1, it isn't because it's not symmetric, doesn't give -f(x). 

Odd function:  f(x) = 0.8x³

Next problem asks for the degree of the function, this is the power of x.When x = -2 the output value h(x) = -8
Do you see that the output values are always negative? This suggests it's either an odd exponent or being multiplied by a negative number.
(-2)³ = -8
(-1)³ ≠ -2
* function must be multiplied by -2. Then it becomes a basic parabola

f(x) = -2x²

power/degree is 2

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