Two functions, f andg, are described below. I m sorry of these statementsabout f and g is true? therefore they definedfunction f as kind of a timeless linearequation best over here. And also this appropriate over here is g. Therefore this appropriate overhere is g that x. And also that likewise lookslike a straight function. We see it's a kind of adownward sloping line. For this reason let's look at our choicesand watch which that these space true. F and also g are both increasing, andf is increasing quicker than g. Well, once I look at g--Well, an initial of all, g is absolutely decreasing. Therefore we currently knowthat that's false. And also f is likewise decreasing. Us see here it hasa an unfavorable slope. Every time we relocate forward3 in the x direction, we're going to relocate down 7in the upright direction. So no of theseare increasing so that's absolutely not right. F and g room both increasing. Well, that'sdefinitely no right. So we understand that both fand g are decreasing. So this an initial choice saysthey're both decreasing, and g is decreasing quicker than f. Therefore let's view whatthe slope on g is. Therefore the slope on g is every timewe relocate 1 in the x direction, confident 1 in thex direction, we move down 2 in the y direction. So because that g of x, if we wereto create our change in y over our adjust in x-- whichis our slope-- our adjust in y over adjust in x, as soon as wemove one in the x direction, optimistic 1 in thex direction, we move down 2 in the y direction. So our adjust in y overchange in x is an unfavorable 2. For this reason g has a steep of an adverse 2. F has actually a slope of an unfavorable 7/3. Negative 7/3 is the samething as an unfavorable 2 and also 1/3. For this reason f's slope is much more negative. So the is diminish faster. For this reason g is no decreasing fasterthan f. F is decreasing quicker than g. For this reason this is not right. And also then we have this choice--f and g space both decreasing, and also f is decreasingfaster than g. This is right, best over here. We have actually this last choice-- g isincreasing but f is decreasing. We understand that's not true.g is actually decreasing.


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Comparing straight functions: same rate of change
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Comparing straight functions: same rate of change
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