The plot below shows the graphs of three functions, f, g, and h, all of which determine the population of three different cities (in thousands of people) in terms of the number of years z since 2000. Population 100 80 60 40 20 2 4 5 a. The population of City A in 2000 was 50 thousand people and the population increased by 13% each year. The function f determines the population of this city (in thousands of people) in terms of z. i. Write a function formula for f. f(z) = Preview ii. Which graph above represents f? The solid, blue graph. b. The population of City B in 2000 was 50 thousand people and the population increased by 16% each year. The function g determines the population of this city (in thousands of people) in terms of z. i. Write a function formula for g. g(z) = Preview ii. Which graph above represents g? The long-dashed, red graph.

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Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.