Question

Given the function `f(x) = 8x^3 - 3x^2 - 5x + 8`, what part of the function indicates that the left and right ends point in opposite directions?

Answer 1

`"see explanation"`

Explanation:

`"to determine the end behaviour we only need to"`
`"consider the term of highest degree, that is the"`
`"leading term in standard form"`

`"the term of highest degree in "f(x)" is "8x^3`

`"which is of odd degree with positive leading coefficient"`

`• " as "xto-oo,f(x)to-oo`

`• " as "xto+oo,f(x)to+oo`
graph{8x^3-3x^2-5x+8 [-20, 20, -10, 10]}