The role of the coefficient in power functions with positive power: Consider the power functions f (x) = cx2. On the same screen, make graphs of f versus x for c = 1, c = 2, c = 3, and c = 4. We...

The role of the coefficient in power functions with positive power: Consider the power functions f (x) = cx2. On the same screen, make graphs of f versus x for c = 1, c = 2, c = 3, and c = 4. We suggest a horizontal span of 0 to 5. A table of values will be helpful in choosing a vertical span. On the basis of the plots you make, discuss the effect of the coefficient c on a power function when the power is positive.