18. Create an equation and sketch the graph of a function using the following table:Height3.8353.831-1.83-3-1.8313.83Time0153045607590105120

Given qiestion:- Create an equation and sketch the graph of a function using the following table:…

Answered: 18. Create an equation and sketch the…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.2: Transformations Of The Graphs Of Functions

Problem 115E

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During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate of 2 inches per hour for the next 6 hours, and at a rate of 0.5 inch per hour for the final hour. Write and graph a piecewise-defined function that gives the depth of the snow during the snowstorm. How many inches of snow accumulated from the storm?
The half-life of plutonium-244 is 80,000,000 years. Find function gives the amount of carbon-14 remaining as a function of time, measured in years.
Draw a sketch of the square and cube functions. What are the similarities and differences in the graphs?
The nationwide average salary of a computer programmer can be modeled by the equation y - 31.8 x (1.060)", where y is the salary in thousands of dollars and n is the number of years since 1990. Graph the function. Then, using this model, predict the average programmer's salary in 2010. 140 120 100 80 60 40 20 10 20 30 Years Since 1990 $102,000 140 120 100 80 60 40 10 20 30 Years Since 1990 $83,000 140 120 100 80 i 60 - 40 20 10 20 30 Years Since 1990 $86,000 140 120 100 80 60 40 20 Average Salary ($1000) Average Salary ($1000) Average Salary ($1000) Average Salary ($1000)
a. Express the toy's value t, in dollars, as a function of time w, in weeks, after purchase. b. Write an expression to represent the toy's value 10 days after purchase.
3) The area of a sheet of paper is 93.5 square inches. a. Find the remaining, visible area of the sheet of paper after it is folded in half once, twice, and three times. b. Express the visible area a of the sheet of paper as a function of the number of times it has been folded n. c. Use graphing technology to graph the function a. d. In this context, can the domain of a include negative values? Explain your reasoning. e. Can the range include negative values? Explain your reasoning.

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18. Create an equation and sketch the graph of a function using the following table: Time 0 15 30 45 60 75 90 105 120 Height 3.83 5 3.83 1 -1.83 -3 -1.83 1 3.83