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QUESTION IMAGE

consider the graph of the function below. a. identify the independent a…

Question

consider the graph of the function below.
a. identify the independent and dependent variables, and describe the domain and range.
b. describe the function in words.

a. the independent variable is the year and the dependent variable is the population.
the domain of the function is the years from the minimum value of to the maximum value of .

Explanation:

Identify the independent and dependent variables

Using the Independent and Dependent Variables knowledge point

  • The horizontal axis (x-axis) represents the "Year", which is the independent variable.
  • The vertical axis (y-axis) represents the "World population (in billions)", which is the dependent variable.
  • Therefore, the independent variable is the year and the dependent variable is the population.

Determine the domain of the function

Using the Domain and Range knowledge point

  • The domain represents the set of all possible input values (independent variable, which is years).
  • Looking at the graph, the line starts at the year 1950 and ends at the year 2000.
  • Therefore, the domain of the function is the years from the minimum value of 1950 to the maximum value of 2000.

Answer:

  • The independent variable is the year and the dependent variable is the population.
  • The domain of the function is the years from the minimum value of 1950 to the maximum value of 2000.