Suppose the height of a firework shell in feet can be modeled by the equation H(t)=-50t^2+450t where t is the time in seconds since ignition a)Complete the table of values and Sketch the graph (Label the axis with words) b) What is the domain and range of the function in the context of this problem situation (relative domain and range)? c)What is the abstract domain and range of the function - not in the context of this problem situation? d) Find and interpret H(8)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2TI: Find the average rate of change of f(x)=x2x on the interval [1,9] .
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Suppose the height of a firework shell in feet can be modeled by the equation H(t)=-50t^2+450t where t is the time in seconds since ignition

a)Complete the table of values and Sketch the graph (Label the axis with words)

b) What is the domain and range of the function in the context of this problem situation (relative domain and range)?

c)What is the abstract domain and range of the function - not in the context of this problem situation?

d) Find and interpret H(8)

 

H(t)
Time (t)
Height in feet H(t)
1000-
--800-
2
4
600-
4.5
-400–
200-
8
-200-
Transcribed Image Text:H(t) Time (t) Height in feet H(t) 1000- --800- 2 4 600- 4.5 -400– 200- 8 -200-
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