The graph of every exponential function, f(x)=a^x, passes through the point (a,1).

Question

True or false? (I also need clarification on how to find the answer. Is it by graphing?)

Answer 1

FALSE.

 

f(x) = a^x

 

f(a) = a^a ≠ 1, unless a = 1

 

However, for x = 0,

 

f(0) = a⁰ = 1

 

Then it passes through the point (0,1), which I think is what you really meant to state in the problem.