A) average rate=Δy/Δx=(y2-y1)/(x2-x1)=(h2-h1)/(x2-x1) from x1 = 0 to x2= 1, <span>h(x) = 4^x, h(0)=4^0=1, h(1)=4^1=4 </span>average rate=(h2-h1)/(x2-x1)=(4-1)/(1-0)=3 (section A for interval x=0 to x=1) from x1 = 2 to x2= 3, h(x) = 4^x, h(0)=4^2=16, h(1)=4^3=64 average rate=(h2-h1)/(x2-x1)=(64-16)/(3-2)=48 (section B for interval x=2 to x=3) B) av.rate section B/ av. rate section A=48/4=12 this is exponential function, and for Δx=1, Δy change more for bigger numbers
