Question

WILL GIVE BRAINLIEST!! 2) Match the graph with its function. Which is an example of growth/decay?

Answer 1

The exponential growth is: $f(x) = 15*(1.25)^x$

And its graph is the first one.

The exponential decay is: $f(x) = 250*(0.87)^x$

And its graph is the second one.

How to identify the exponential equations?

The general exponential equation is of the form:

$y = A*(b)^x$

Where A is the initial value and b is the base.

• If b > 1, then we have an exponential growth.
• if 1 > b > 0, then we have an exponential decay.

Here the two functions are:

$f(x) = 250*(0.87)^x$

$f(x) = 15*(1.25)^x$

As you can see, the base for the first one is smaller than 1, then it is an exponential decay (and it has a decreasing graph, so the graph of this one is the second graph).

For the second function, we have the base b = 1.25, which is larger than 1, so it is an exponential growth, and its graph is an increasing graph, which is the first one.

If you want to learn more about exponential functions:

brainly.com/question/11464095

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