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Solve each problem. See Example $10 .$The graph shows the daily megawatts of electricity used on a record-breaking summer day in Sacramento, California.(a) Is this ...

Question

Solve each problem. See Example $10 .$The graph shows the daily megawatts of electricity used on a record-breaking summer day in Sacramento, California.(a) Is this the graph of a function?(b) What is the domain?(c) Estimate the number of megawatts used at 8 A. M.(d) At what time was the most electricity used? the least electricity?(e) Call this function $f$. What is $f(12) ?$ Interpret your answer.(f) During what time intervals is usage increasing? decreasing?(GRAPH CAN'T COPY).

Solve each problem. See Example $10 .$ The graph shows the daily megawatts of electricity used on a record-breaking summer day in Sacramento, California. (a) Is this the graph of a function? (b) What is the domain? (c) Estimate the number of megawatts used at 8 A. M. (d) At what time was the most electricity used? the least electricity? (e) Call this function $f$. What is $f(12) ?$ Interpret your answer. (f) During what time intervals is usage increasing? decreasing? (GRAPH CAN'T COPY).



Answers

Work each problem using the graph provided. (GRAPH CAN'T COPY) The numbers of daily morning and evening newspapers in the United States in selected years over the period $1980-2008$ are shown in the graph. (a) For which years were there more evening dailies than morning dailies? (b) Estimate the year in which the number of evening and morning dailies was closest to the same. About how many newspapers of each type were there in that year?

Were given a graph that shows the megawatts of electricity used on a summer day. And I've just kind of sketched this thing. Exact graphs should be in your book, and it says, Why is this graph of function? Remember that if it's a function than for each input, that only one output and it will pass the vertical line test and this graph does pass that test. So it's a function and be it asked, What's the domain? So the domain is what are the possible acts? Values, which are going from 0 to 24 including each of those. So that's the domain of the function in Part C, it says estimate the number of megawatts used at 8 a.m. So 8 a.m. I go here and then come across. That should give me about a little bit more than 1100. That quite half of that. But let's just say 1200 megawatts and then in Part D at what time was the most electricity used? Well, that would be up at the very top. Here is when the most electricity is used, and that's about four clock 16 hours. So four hours past noon to be about four o'clock PM and then the least would be at the bottom of the curve, which would be right here. And that's at four a. M. And then call this function F. What's the value of F 12? Has asking how much electricity was being used at time, 12 or at noon, and if you go across here, that should be about 1900 megawatts.

All right, This is a great problem to do with a graphing calculator so you can go into the white equals menu. And there you take the function that we were given, which represents the value of the copy machine. And then I'm going to use the table to figure out the values for different numbers of years. So I go into my table settings, which is second window, and I make sure that it's on independent ask so that I can type in my own values. Then I go into the table menu and we want to know the value in the beginning, the original value. So we type in zero for year zero, and the starting value of the copy machine was $5000 for the value. After five years, we type in a five for X, and we get $2973 and for the value. After 10 years, we type in 10 Parex and we get rounded to the nearest dollar $1768. Now to graft this what I've done is set some window dimensions going from X equals zero to X equals 15. Those were the years and going from y equals zero to y cual 6000 Those would be the values. And then we can take a look at this graph and it looks like this.

This is a great problem to do on a graphing calculator. So I've gone into my y equals menu, and I typed in the function that was given that represents the amount of radioactive substance as a function of the number of months that have elapsed, and the first thing we want to do is find the original amount and then the amount of two months and the amount of 10 months. So I'm going to use my table for that. I have my table set to independent ask, which means I can type in my own values. Then I go into the table and I type in zero for the initial amount and we get 100. Type in two for two months elapsed and we get 31.25 and the units on those air grams. But I'm not seeing any particular rounding instructions in the problem. And then for 10 months we have 0.298 grams remaining, and now we're going to look at the graph. So my window dimensions I chose from negative excuse me from 0 to 20 on my X axis that represents the number of months and then on the Y axis from negative 1 to 120 that represents the number of grams of substance. And here's what the graph looks like. We can see that it decreases very rapidly and heads toward zero after not very many months.

Okay, so your time to get that ISTEA or independent variable and the value of independent variable Nice from 0 to 100 right? So the value small, independent variable that is 0 to 100 right? And here, dependent variable Daddy's f right you're at that is equal to get and so forth, right? And the value open where is from 0 to 4000. So the possible values for the dependent variable that is cereal to 4000. Now they want to find that where function is increasing and decreasing. So from the graph, your function is increasing at 0 25 So here we have to your small records. So at 0 to 25 function is increasing. And from the graph here, we can see from 50 to 75. Your function is decreasing. Now. Our third question is how many Guillain Supporter are in the pool after 90 overs. So here, nineties or and somewhere here, right? So that that intersect the why except that 2000 right? So Begin said that D there are 2000 gallons, so $4 after 90 0 now we want to find the value fo zero right, so when X is equal to zero theorize equal to zero night. So here, fo zero that is equal to zero, which means in its yearly cool is empty you sincerely coal is empty. That is to me no import Syria that is equal to zero. No, Our last question, that is, they want to find the very old April 25. So find the value off twenties equal to 25. So let's throw article line right, So we can see that d when X is equal to 25. Then why is it won't do 2000 right? So you're f or 20 by bad is equal to 3000 which means that there are 3000 gallons of porter after identify or thank you.


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