Question

Which statement is true about the end behavior of the graphed function? The graph and choices are attached.

Answer 1

The correct answer is A) as the x values go to positive infinity, then the graph goes to negative infinity.

We can tell this by looking at the graph values as x goes up. You'll notice, as we get higher and higher, the graph disappears down. This means it is heading towards negative infinity for the rest of the graph.

Answer 2

The statement which is true about the end behavior of the graphed function is:

• As the x-value goes to positive infinity , the function's value go to minus infinity.

Explanation:

We know that the end behavior of the function is the value where it approaches when x tends to plus infinity and minus infinity.

From the graph of the function we see that the graph first decreases continuously and then it increases and again it decreases to minus infinity.

Also,

when x → -∞ we see that f(x) → ∞

and when x → ∞ then f(x) → -∞

As the function has opposite behavior in both the directions this means that the function is odd.

At x=0 the value of function is: -2