Question

What point do all graphs of the form y=a^x where ≠ 0 have in common?

Answer 1

Answer is A.(0, 1)
because
when x = 0, y=a^0 = 1
so (0,1)

hope it helps

Answer 2

Answer:

A.(0, 1)

Step-by-step explanation:

This is an exponential function, which is a function where the independent variable x appears in the exponent and has a constant a as its base. Its mathematical expression is:

$f(x)=a^x\\\\\{x\in R: (a\neq0\hspace{3}and\hspace{3}x\in Z)or(a\geq0\hspace{3}and\hspace{3}x>0)or(x\geq 1 \hspace{3}and\hspace{3}x\in Z)or\hspace{3}a>0\}$

The image of 0 is always 1 and the image of 1 is always a:

$f(0)=a^0=1\\f(1)=a^1=a$

Thus, exponential functions always pass through the points (0, 1) and (1, a).

I attached you a graph that illustrates the behavior of the function.