The question requires us to explain the different exponential graphs: Exponential functions are given by: f(x)=a(b)^x when: a is negative, the graph will be reflected along y-axis b>1 the graph will be an exponential growth b<1 the graph will be an exponential decay 1] a] y=3(2)^x y-intercept: at y-intercept x=0 thus y=3(2)^0 y=3(1)=3 thus y intercept is at y=3
c] since there is no asymptote
d] Domain: All real numbers
e] Range: [0,∞)
That all positive real numbers.
2] a] f(x)=2(0.25)^x a=2 b=0.25 b<1 thus the function is exponential decay
