Question

Find the exponential function f(x)=Ca^x whose graph goes through the points (0,4) and (3,32).

Answer 1

we are given the exponential expression f(x) = Ca^x that should pass through the points (0,4) and (3,32). In this case, we first substitute the first point, (0,4) to the function to yield 4 = Ca ^0; hence Ca is equal to 4. The final expression hence is f(x) = 4^x