EVERYDAY SCIENCE

Detailed explanation-1: -Exponential growth takes place when a population’s per capita growth rate stays the same, regardless of population size, making the population grow faster and faster as it gets larger.

Detailed explanation-2: -exponential growth: Continuous increase or decrease in a population in which the rate of change is proportional to the number of individuals at any given time.

Detailed explanation-3: -Exponential growth (sometimes also called geometric or compound-interest growth) can be described by an equation in which time is raised to a power, i.e. has an exponent-hence the name.

Detailed explanation-4: -We know that the exponential 2^x will eventually exceed in value the polynomial 2x^3 + 1 because its base, 2, is larger than one and an exponential functions grow faster, as the size of x increases, than any particular polynomial function.