Question

The function f(x)=3(1.85)x+3 is shown.Select from the drop-down menus to correctly describe the end behavior of f(x).As x decreases without bound, the graph of f(x) (choose one)approaches y=3increases without bounddecreases without boundAs x increases without bound, the graph of f(x) (choose one)approaches y=3increases without bounddecreases without bound

Answer 1

Given that,

The function f(x)=3(1.85)x+3 is shown in the graph.

To describe the end behavior of f(x).

a) As x decreases without bound, the graph of f(x) ___________

we get,

`\lim _(x\to-\infty)f(x)=3`

As x decreases without bound, the graph of f(x) approaches y=3

Answer is: approaches y=3.

b)As x increases without bound, the graph of f(x)____________

we get,

`\lim _(x\to\infty)f(x)=\infty`

As x increases without bound, the graph of f(x) increases without bound.

Answer is: increases without bound.