Question

Identify the type of function represented by f(x) =2(1/2)/\x. A. Exponential decay B. Quadratic C. Linear D. Exponential growth

Answer 1

That " ^ " is a sure sign that you have an exponential function here.
Because the base, 1/2, is 0<b<1, you have exponential decay.

Answer 2

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 $f(x) = 2 \cdot \left(\dfrac{1}{2} \right)^x$is A. Exponential decay

Reasons:

The given function is presented as follows;

$f(x) = 2 \cdot \left(\dfrac{1}{2} \right)^x$

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

exponential function.

Where;

a = 2

$b = \dfrac{1}{2}$

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, $b = \dfrac{1}{2} < 1$, the is an exponential decay function.

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