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anonymous
 one year ago
What of the following statements have the same result?
f(1) when f(x) = 5x + 1
f−1(3) when f(x) = 2x+3
3y − 7 = y + 5
anonymous
 one year ago
What of the following statements have the same result? f(1) when f(x) = 5x + 1 f−1(3) when f(x) = 2x+3 3y − 7 = y + 5

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jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2f(x) = 5x + 1 f(1) = 5(1) + 1 ... replace every x with 1 f(1) = ???

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2"5(1) + 1" means "5 times 1 plus 1"

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2yeah f(1) = 6

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2"f−1(3) when f(x) = 2x+3" is a fancy way of saying "plug in f(x) = 3 and solve for x" f(x) = 2x+3 3 = 2x+3 33 = 2x+33 ... Subtract 3 from both sides. 0 = 2x x = ???

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2yep x = 0 leads to f(x) = 3

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2solve 3y − 7 = y + 5 for y. Tell me what you get

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2y = 6 is correct

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2from part a) we got f(1) = 6

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I have one last one and I'm done for tonight!

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2show me what you have so far

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok. so I guess a positive end behavior for f(x)+2

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2how do you know it's positive?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i just assumbed bc the leading co. is positive

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2we don't know anything about the original function f(x). So we can't say if it has positive or negative end behavior

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2what we can say is that the end behavior won't change if we add 2 to f(x)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2f(x)+2 just shifts f(x) up 2 units

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2on the other hand (1/2)*f(x) flips f(x) over the x axis and compresses it vertically by a factor of 2

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2so (1/2)*f(x) will have its end behavior flipped

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2what can you say about the yintercept?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2but do we know what the yintercept of f(x) is?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2we don't know what the yintercept of f(x) is

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2but whatever it is, it is shifted up 2 units for f(x)+2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes. And what about the 1/2 one?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2it gets wider when you compress it vertically, yes

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0But I don't understand how it is increasing and the regions where it does part>>

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2f(x) isn't given, so we cannot find the increasing/decreasing intervals. Whatever they are, they don't change when going to f(x)+2. Everything shifts up which is why the intervals don't change

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2with (1/2)*f(x), the intervals swap. Whatever was decreasing is now increasing and vice versa.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh:O !! That makes sooo much more sense! Thanks:)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0is that it? We are done with the question

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2yeah I think so
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