Home › Forums › Math › Which graph shows the same end behaviour as the graph of f(x) = 2×6 – 2×2 – 5? › Reply To: Which graph shows the same end behaviour as the graph of f(x) = 2×6 – 2×2 – 5?
Given function: f(x) = 2x^6 – 2x^2 – 5.
In order to find the end behaviour of the graph, we need to find the degree of the given function and the leading coefficent.
Degree of the given function is the highest power of the variable.
We have variable x there.
Highest power of x is 6.
So, we can say:
Degree = 6 ( an even degree)
And leading coefficent is the coefficent of highest power term.
We have highest power term is 2x^6.
So, the leading coefficent is : 2 (Positive number)
For even degree and positive leading coefficent, end behaviour is
x –> ∞ f(x) = +∞
x–>-∞ f(x) = +∞