Question

Which is the graph of f(x)=1/4(4)^x

Answer 1

Answer with explanation:

We are given a function as:

$f(x)=\dfrac{1}{4}4^x$

We know that the given function f(x) is a exponential function .

Also, the graph of the function f(x) is a exponential growth with scale factor 4.

Since, the each term is 4 times it's preceding term.

and the end behavior of the function is:

as x→ -∞ then f(x)→ 0

( Since, $4^{-\infty}\ tends \ to\ zero$)

Similarly

as x → ∞ then f(x) → ∞

( Since,

$4^{\infty}\ tends\ to\ \infty$ )

Also, the graph of the function f(x) could be seen with the help of a graph attached to it.

Answer 2

Your graph should look something like the one below, an exponential function (this is because your are raising a number to the power of x.

:)