Find the Exponential Function (0,-10/9)

$(0, - \frac{10}{9})$

Step 1

To find an exponential function, $f (x) = a^{x}$ , containing the point, set $f (x)$ in the function to the $y$ value $- \frac{10}{9}$ of the point, and set $x$ to the $x$ value $0$ of the point.

$- \frac{10}{9} = a^{0}$

Step 2

Solve the equation for $a$ .

Rewrite the equation as $a^{0} = - \frac{10}{9}$ .

$a^{0} = - \frac{10}{9}$

Anything raised to $0$ is $1$ .

$1 = - \frac{10}{9}$

Since $1 \neq - \frac{10}{9}$ , 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

Find the Exponential Function (0,-10/9)

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