Algebra Examples

$(0, 1)$

Step 1

To find an exponential function, $f (x) = a^{x}$ , containing the point, set $f (x)$ in the function to the $y$ value $1$ of the point, and set $x$ to the $x$ value $0$ of the point.

$1 = a^{0}$

Step 2

Solve the equation for $a$ .

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Step 2.1

Rewrite the equation as $a^{0} = 1$ .

$a^{0} = 1$

Step 2.2

Anything raised to $0$ is $1$ .

$1 = 1$

Step 2.3

Since $1 = 1$ , the equation will always be true.

Always true

Step 2.4

The final answer is the list of values not containing imaginary components. Since all of the solutions are imaginary, there is no real solution.

No solution

Step 3

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

The exponential function cannot be found