What is the end behavior of the function
f(x)=(7/10)^x

answer correctly

Second option:

Step-by-step explanation:

The end behavior of a function describes what values may take the function when x increases toward the extremes, i.e. when x approaches +∞ and -∞.

The graph of a function must show the end behavior of a function.

From the attached graph, you can see that as x gets smaller (more negative) the function becomes exponentially larger. In a table that would look like:

x      f(x) (approximate value reading the y-coordinate from the graph)

0          1

-1          1.4

-2         2

-3         2.9

-4         4.1

-5         6

And the trend continues, so you can tell by induction that, as x decreases without bound, f(x) increases without bound.

On the other hand, looking at the right side of the graph, you can see that as x increases (gets larger and larger) the function approaches the y-axis, but seems that it never touches it.

That can be formalized if you take the limit of f(x) = (7/10)ˣ, when x approaches + ∞: since the denominator of the fraction (10) is bigger than the numerator (7) as x increases the quotient will become smaller and smaller without reaching 0. For example: (7/10)¹⁰⁰  ≈ 3 × 10⁻¹⁶.

step-by-step explanation:

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