Question

Consider the decay function d (x) = 850(0.94)*. Describe the characteristics of the functions by using the drag
and drop feature. Find the domain, y intercept, decay rate, range, asymptote, decay factor. Thank youu

Answer 1

The characteristics of the function are:

• The domain of the function is $(-\infty, \infty)$.
• The range of the function is $(0, \infty)$.
• The horizontal asymptote is y = 0
• The y-intercept is 850
• The decay rate is 0.06
• The decay factor is 0.94

How to calculate the domain of the function

The function is given as:

$d(x) =850(0.94)^x$

The function is an exponential function, and the domain of exponential functions are all set of real numbers.

Hence, the domain of the function is $(-\infty, \infty)$.

How to calculate the range of the function

The range of exponential functions is real numbers greater than 0

Hence, the range of the function is $(0, \infty)$.

How to calculate the horizontal asymptote

The horizontal of all exponential functions is y = 0

How to calculate the y-intercept

We have:

$d(x) =850(0.94)^x$

Set x = 0

$d(0) =850(0.94)^0$

$d(0) =850$

Hence, the y-intercept is 850

How to calculate the decay rate and the decay factor

The function is given as:

$d(x) =850(0.94)^x$

An exponential function is represented as:

$y =ab^x$

Where:

b represents the decay factor, and

$b = 1 - r$

Where r represents the decay rate

So, we have:

$b = 0.94$

Also,

$0.94 = 1 - r$

Solve for r

$r =0.06$

Hence, the decay rate is 0.06 and the decay factor is 0.94

Read more about exponential functions at:

https://brainly.com/question/11464095