MATH SOLVE

4 months ago

Q:
# Write an exponential function for graph that passes through the following points (-3,80);(-1,20)

Accepted Solution

A:

Answer:y=4(12)xExplanation:An exponential function is in the general formy=a(b)xWe know the points(β1,8)and(1,2), so the following are true:8=a(bβ1)=ab2=a(b1)=abMultiply both sides of the first equation bybto find that8b=aPlug this into the second equation and solve forb:2=(8b)b2=8b2b2=14b=Β±12Two equations seem to be possible here. Plug both values ofbinto the either equation to finda. I'll use the second equation for simpler algebra.Ifb=12:2=a(12)a=4Giving us the equation:y=4(12)xIfb=β12:2=a(β12)a=β4Giving us the equation:y=β4(β12)xHowever! In an exponential function,b>0, otherwise many issues arise when trying to graph the function.The only valid function isy=4(12)x