Name: SAT Math Help & School Math Mastery
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#34570

functions

exponential

hard

120 sec

For the exponential function $f (x) = a \cdot b^{x}$ , where $a$ and $b$ are constants and $b > 0$ , which of the following equivalent forms shows the value of $f (c)$ as the coefficient, for any constant $c$ ?

A.

$f (x) = a \cdot b^{x}$

B.

$f (x) = (a \cdot b^{c}) \cdot b^{x - c}$

C.

$f (x) = (a \cdot b^{- c}) \cdot b^{x + c}$

D.

$f (x) = (a \cdot b^{2}) \cdot b^{x - 2}$