Identify the type of function represented by f(x) =2(1/2)/\x. a. exponential decay b. quadratic c. linear d. exponential growth

The given function consist of a fraction raised to the power of a variable,

x and therefore, the value of the function decreases with increase in x.

The type of function represented by is A. Exponential decay

Reasons:

The given function is presented as follows;

The function is in the form f(x) = a·bˣ, therefore, the function is an

exponential function.

Where;

a = 2

In an exponential function, when b > 1, the function is known as a

exponential growth function. When b < 1, the function is known as a

exponential decay function.

Therefore, given that we have, , the is an exponential decay function.

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step-by-step explanation:

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we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4