Question

How do I find the equation of an exponential function that passes through the point (4,2)?

Answer 1

Consider the exponential equation `y=a^x`, where a is a constant coefficient.

If the graph passes through the point `(4, 2)`, then the following relation applies: `2=a^4` `=>` `a=root(4)(2)`

So, our exponential function is `y=(root(4)(2))^x`