Functions are used to represent equations and graphs
- The superhero will be able to leap over the building
- The support should be placed 48 feet from the edge
- Joe will not be able to stand up in the igloo
- Joe will be able to lay down in the igloo
<h3>Question 13: How to determine if the superhero will make it to the building</h3>
The function is given as:
Differentiate the function
Set to 0
So, we have:
Solve for x
Calculate f(6.25)
The above means that, the superhero reached a height of 625 feet.
625 is greater than 612.
Hence, the superhero will be able to leap over the building
<h3>Question 14: How to determine the distance from the edge</h3>The function is given as:
Differentiate
Set to 0
Subtract 2.4 from both sides
Solve for x
Calculate f(40)
This means that, the support should be placed 48 feet from the edge
<h3>Question 15: Will Joe be able to stand up?</h3>In (14), the maximum height is 48 feet.
Joe's height (70 feet) is greater than 48.
This means that, Joe will not be able to stand up in the igloo
<h3>Question 15: Will Joe be able to lay down?</h3>In (14), the midpoint is 40 feet.
This means that the length of the igloo is 80 feet (i.e. 2 * 40 feet)
Joe's height (70 feet) is less than 80.
This means that, Joe will be able to lay down in the igloo
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