what is the exponential function with a graph that contains the point (0,-3) and (1,-15)

Question

graph each answer function with a graph 

Answer 1

Hi Jorge,

Let the exponential function be 

y = y₀ · a^x

We will make use of the given points to find y₀ and a

 

-3 = y₀*a^0

y₀ = -3

 

-15 = -3*a^1

-15 = -3a

a = 5

The function is

y = -3*5^x