Pre-Algebra Examples

$(0, - 5)$

Step 1

To find an exponential function, $f (x) = a^{x}$ , containing the point, set $f (x)$ in the function to the $y$ value $- 5$ of the point, and set $x$ to the $x$ value $0$ of the point.

$- 5 = a^{0}$

Step 2

Solve the equation for $a$ .

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Step 2.1

Rewrite the equation as $a^{0} = - 5$ .

$a^{0} = - 5$

Step 2.2

Anything raised to $0$ is $1$ .

$1 = - 5$

Step 2.3

Since $1 \neq - 5$ , there are no solutions.

No solution

Step 3

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

The exponential function cannot be found