What is the y-intercept of all exponential growth functions?

1 Answer
May 28, 2018

(0,1)

Explanation:

the general formula for any exponential function is a^x.

(e.g. 2^x, 3^x)

the y-intercept of a graph is the point where it touches the y-axis. the y-axis touches the x-axis when x = 0.

the y-intercept of the graph is the point where x = 0 and y is a certain value.

if the exponential function is a^x, then the y-intercept is the point where a^x = a^0.

any number raised to the power of 0 gives 1.

hence a^0 will always be 1.
is y = a^x, then the y-intercept is (0, a^0), which is (0,1).