Question

Peter made custard every weekend. The more times he made custard, the more practice he gained. The time he took to make the same amount of custard every week decreased with practice. The function below shows the number of hours f(x) Peter took to make custard after he had made it x times: f(x) = 2(0.6)x Which graph best represents the function?

Answer 1

Answer:  The below graph represents the given function.

Step-by-step explanation:

Here x represents the number of times he practice and f(x) represents the number of hours he take to make custard.

And, the given relation between f(x) and x is,

$f(x) = 2(0.6)^x$

Which is an exponential function,

That having y-intercept = (0,2)

But, does not having any x-intercept.

End behavior:

Since, 0.6 < 1

Therefore, the end behavior of the above function is,

$f(x)\rightarrow + \infty$  as  $x\rightarrow -\infty$

$f(x)\rightarrow 0$   as  $x\rightarrow \infty$

Thus, the above information we can plot the graph of the given function. (Shown below)