Write an exponential function y = ab^x for a graph that includes (–3, 16) and (–1, 4)

Step-by-step explanation:

Given the exponential function as

substitute both points in the equation above

point (-3,16) will be

point (-1,4) will be

make a the subject of the formula in both equations above

This means

Cross multiply as;

Divide by 4 both sides to get

Divide by b^-1 both sides

Find value of a

Hence

a=2  and b=1/2 thus write the equation as;

i hope this is what you were looking for.

see attached graph