Question

Based on the table, which best predicts the end behavior of the graph of f(x)?


a) As x → ∞, f(x) → ∞, and as x → –∞, f(x) → ∞.

b) As x → ∞, f(x) → ∞, and as x → –∞, f(x) → –∞.


C) As x → ∞, f(x) → –∞, and as x → –∞, f(x) → ∞.


d) As x → ∞, f(x) → –∞, and as x → –∞, f(x) → –∞.

Answer 1

C.

In this problem, you can see f(x) constantly increase when x decreases, and you can see f(x) decrease when x increases.

Answer 2

A function assigns the value of each element of one set to the other specific element of another set. The correct option is C.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

As it can be observed from the table as the value of x is increasing positively, the value of y is increasing negatively. Therefore, Based on the table, the best prediction of the end behaviour of the graph of f(x) is as x → ∞, f(x) → –∞, and as x → –∞, f(x) → ∞.

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