Question

1. The graph of every exponential function f(x)= ax, a>0, a≠1, passes through what three points(in terms of a)? Explain.

Answer 1

The exponential function
f(x) = a^x
can pass through all points as long as x is any real number

As an example, we can choose values of x.
x = -4, x = 0, x=100

The value of the function in terms of a would be
f(-4) = a^-4
f(0) = a^0 = 1
f(100) = a^100