Algebra Examples

$(- 4, 0)$

To find an exponential function, $f (x) = a^{x}$ , containing the point, set $f (x)$ in the function to the $y$ value $0$ of the point, and set $x$ to the $x$ value $- 4$ of the point.

$0 = a^{- 4}$

Solve the equation for $a$ .

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Rewrite the equation as $a^{- 4} = 0$ .

$a^{- 4} = 0$

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{a^{4}} = 0$

Set the numerator equal to zero.

$1 = 0$

Since $1 \neq 0$ , there are no solutions.

No solution

Since there is no real solution, the exponential function cannot be found.

The exponential function cannot be found