O GRAPHS, FUNCTIONS, AND SEOUENCESWriting a function rule given a table of ordered pairs: Two-step..A table of values of a linear function is shown below. Find the output when the input is n. Type your answer In the space provided.Input14D-Doutput 10141822ExplanationCheck2022 McGraw Hill LLC. A Rights Reserved. Terms of UsePrivac田60000000758067

Given query is to find the function.

Answered: Writing a function rule given a table…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter4: Writing Linear Equations

Section4.7: Piecewise Functions

Problem 53E

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Research Project Find a function given by formula in one of your textbooks for another class or some other handy source. If the formula involves more than one variable, assign reasonable values for all the variables except one so that your formula involves only one variable. Now make a table of values, using an appropriate starting value and increment value so that the table shows some interesting aspect of the function, such as a trend or significant values. Carefully describe the function, formula, variables including units, and table and explain how the table is useful.
A store offers customers a 30% discount on the price x of selected items. Then, the store takes off an additional 15% at the cash register. Write a price function P(x) that computes the final price of the item in terms of the original price x. (Hint: Use function composition to find your answer.)
DISCUSS Four Ways to Represent a FunctionIn the box onpage 190 we represented four different functions verbally,algebraically, visually,and numerically.Think of a function that can be represented in all four ways, and give the four representations.
Geometry The perimeter of a rectangle is 200meters. (a) Draw a diagram that gives a visual representation of the problem. Let x and y represent the length and width of the rectangle, respectively. (b) Write yas a function of x.Use the result to write the area A as a function of x. (c) Of all possible rectangles with perimeters of 200meters, find the dimensions of the one with the maximum area.
Three Was TieA downhill skiing race ends in a three-way tie for first place. The graph shows distance as a function of time for each of the three winners, A, B, and C. Find the average speed for each skier Describe the differences between the ways in which the three participants skied the race.
Population Growth The projected population of the United States for the years 2025 through 2055 can be modeled by P=307.58e0.0052t, where P is the population (in millions) and t is the time (in years), with t=25 corresponding to 2025. (Source: U.S. Census Bureau) (a) Use a graphing utility to graph the function for the years 2025 through 2055. (b) Use the table feature of the graphing utility to create a table of values for the same time period as in part (a). (c) According to the model, during what year will the population of the United States exceed 430 million?
Population Growth The projected population of the United States for the years 2025 through 2055 can be modeled by P=307.58e0.0052t, where P is the population (in millions) and t is the time (in years), with t=25 corresponding to 2025. (a) Use a graphing utility to graph the function for the years 2025 through 2055. (b) Use the table feature of the graphing utility to create a table of values for the same time period as in part (a). (c) According to the model, during what year will the population of the United States exceed 430 million?

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Writing a function rule given a table of ordered pairs: Two-step.. A table of values of a linear function is shown below. Find the output when the input is n. Type your answer In the space provided. Input 1. 2 3 4. O-0 output 10 14 18 22