Question

X f(x) 0 24 1 12 2 6 3 3

Answer 1

The table represents an exponential function given by:

$f(x) = 24*(1/2)^x$

Is the function exponential or quadratic?

Here we have the table:

x    f(x)

0    24

1      12

2      6

3       3

First, notice that for each unit that x increases, the value of f(x) decreases by its half.

This is clearly an exponential equation, whose base must be equal to (1/2).

And because when x = 0, f(0) = 24, we know that the initial value of the function is 24.

Then the exponential function is:

$f(x) = 24*(1/2)^x$

Such that:

$f(0) = 24*(1/2)^0 = 24\\\\f(1) = 24*(1/2)^1 = 12\\\\f(2) = 24*(1/2)^2 = 24*(1/4) = 6\\\\f(3) = 24*(1/2)^3 = 24*(1/8) = 3$

Concluding, the table represents an exponential function.

If you want to learn more about exponential functions:

brainly.com/question/11464095

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