MATH 1311 Section 1.2.

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Presentation transcript:

MATH 1311 Section 1.2

Functions Given by Tables

Average Rate of Change

Limiting Values

Popper 1: Choices: a. 68.8 b. 410 c. 412 d. 125.6 e. 28.4 1. 2.

3. Popper 1: Choices: a. 68.8 b. 410 c. 412 d. 125.6 e. 28.4

Popper 1: Choices: a. 68.8 b. 410 c. 412 d. 125.6 e. 28.4 4.

The world population, P(y), is given by the following table: Year 1955 1960 1965 1970 1975 1980 1985 1990 1995 2000 2005 2010 2015 2018 Population (Billions) 2.77 3.03 3.34 3.70 4.08 4.46 4.87 5.33 5.75 6.15 6.54 6.96 7.38 7.62 a. Determine the value of P(1965) and describe its meaning: b. Describe, in function notation, the population at the year 1995. Determine the value. Source: Worldometers, UN Department of Economic and Social Affairs, Population Division, 2017

The world population is given by the following table: Year 1955 1960 1965 1970 1975 1980 1985 1990 1995 2000 2005 2010 2015 2018 Population (Billions) 2.77 3.03 3.34 3.70 4.08 4.46 4.87 5.33 5.75 6.15 6.54 6.96 7.38 7.62 c. Find the Average Rate of Change between 1975 and 1980. d. Estimate the population in 1983. e. Find the average rate of change between 2010 and 2015. f. Estimate the population in 2014.

The world population is given by the following table: Year 1955 1960 1965 1970 1975 1980 1985 1990 1995 2000 2005 2010 2015 2018 Population (Billions) 2.77 3.03 3.34 3.70 4.08 4.46 4.87 5.33 5.75 6.15 6.54 6.96 7.38 7.62 g. Is there are faster rate of population change between 1975 and 1980 or between 2010 and 2015? h. Does there appear to be a limiting value? If so, what is its approximate value?