Question

As a medical examiner, you are asked for many reports related to types of death. You are initially asked for a report on the temperature of the day related to the number of heat-stroke deaths. You called the function h (c), where c represents the temperature in Celcius and h (c) represents the number of heat-stroke deaths per thousand people.
You were then asked to give the same report, but to show the temperature in Fahrenheit, and instead of deaths per thousand occupants, to now show it per hundreds of thousands of people.

How would you update your function to show this?
How would the graph transform?
Explain your reasoning.

Answer 1

The function is updated by calculating the composite function h(f(c)), where f = 1.8c + 32

How to update the function?

The function is given as h(c)

Where

• c represents the temperature in Celsius
• h(c) represents the number of heat-stroke deaths per thousand people

When a temperature in Celsius is converted to Fahrenheit, the conversion equation is:

F = 1.8C + 32

This means that we update the function by calculating the composite function h(f(c)), where f = 1.8c + 32

How the graph would be transformed?

In (a), we have:

h(f(c)) and f = 1.8c + 32

Substitute f = 1.8c + 32 in h(f(c))

h(1.8c + 32)

The above means that:

• The graph would be vertically stretched by a factor of 1.8
• Then the graph would be shifted up by 32 units

Read more about function transformation at:

brainly.com/question/1548871

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