Question

1) What are the values of a and b for each equation? Why does this represent exponential growth?

Answer 1

$y=3^x$

comparing with:

$y=ab^x$

Then a = 1 and b=3

To find the y-intercept, substitute x=0

$y=3^0=1$

The y-intercept is 1

$y=-3^x$

Comparing with

$y=ab^x$

The value of a =-1 and the value of b is 3

To find the y-intercept, substitute x=0 into the equation

y=-1

The y-intercept is -1