# How do you find the exponential function f(x) = Ca^x whose graph has the given points. (2,0) and (2,2/9)?

##### 1 Answer
Jul 14, 2016

The given points do not belong to a graph of a function. See explanation.

#### Explanation:

The given points have the same $x$ coordinate. This means you are trying to define 2 different values ${y}_{1} = 0$ and ${y}_{2} = \frac{2}{9}$ for the same argument $x = 2$.

Note that a function like $y = C \times {a}^{x}$ can take the value of $0$ if and only if $C = 0$ so the function becomes $y = 0$