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anonymous
 one year ago
The function f has the property that f(x)=f(x+1) for all numbers x. If f(4)=17, what is the value of f(8)?
anonymous
 one year ago
The function f has the property that f(x)=f(x+1) for all numbers x. If f(4)=17, what is the value of f(8)?

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whpalmer4
 one year ago
Best ResponseYou've already chosen the best response.1If we know that \(f(x) = f(x+1)\) for all values of \(x\), then if we know \(f(4)=17\), what does \(f(5)=\)

imqwerty
 one year ago
Best ResponseYou've already chosen the best response.3To get a feel for this information, let's first pick a random value for x. Let's say x = 2 The given info tells us that f(x) = f(x + 1) for all values of x So, f(2) = f(2 + 1) In other words, f(2) = f(3) Let's try a different value of x. How about x = 3 The given info tells us that f(x) = f(x + 1) for all values of x So, f(3) = f(3 + 1) In other words, f(3) = f(4) And so on. We can see that f(2) = f(3) = f(4) = f(5) and so on So, if f(4) = 17, we can be certain that f(8) = 17 as well.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0wait why is f(8)=17? I'm so confused ....

whpalmer4
 one year ago
Best ResponseYou've already chosen the best response.1\[f(x) = f(x+1)\]is just a way of saying that whatever the value of the function \(f(x)\) is at some value of \(x\), it has the same value at \(x+1\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes i understand that but y is f(8)=17?

whpalmer4
 one year ago
Best ResponseYou've already chosen the best response.1we know that \(f(4) = 17\) right?

imqwerty
 one year ago
Best ResponseYou've already chosen the best response.3Another approach is to create some kind of function that satisfies the condition that f(x) = f(x + 1) for all values of x, AND also f(4) = 17 Here's one: f(x) = (x)(0) + 17 Here we can see that: f(1) = 17 f(2) = 17 f(2) = 17 f(3) = 17 f(4) = 17 . . . f(8) = 17

whpalmer4
 one year ago
Best ResponseYou've already chosen the best response.1okay, and we know that whatever value \(f(x)\) has, \(f(x+1)\) has the same value

whpalmer4
 one year ago
Best ResponseYou've already chosen the best response.1so that means that \(f(4) = f(4+1) = f(5)\) and we already know that \(f(4) = 17\) so that means \(f(5) = 17\) as well

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0wait what? why is f(5)=17 now?

whpalmer4
 one year ago
Best ResponseYou've already chosen the best response.1for any value of \(x\), pick a number, any number, \(f(x) = f(x+1)\) or \(f(x+1) = f(x)\)

whpalmer4
 one year ago
Best ResponseYou've already chosen the best response.1the problem tells us that..."for all numbers x"...

whpalmer4
 one year ago
Best ResponseYou've already chosen the best response.1okay, so if \{f(4) = 17\), then we are taking \(x = 4\) and we can write \(f(4) = f(4+1) = 17\) because \(f(x) = f(x+1)\)

whpalmer4
 one year ago
Best ResponseYou've already chosen the best response.1okay, if f(5) = 17, what does f(6)? remember, 5+1 = 6

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0wait.... so this is a trick question? everything equals to 17?

imqwerty
 one year ago
Best ResponseYou've already chosen the best response.3yomamafb u r forgetting somthing

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh i just saw your reply ..... so EVERYTHING equals to 17? wth so this was a trick question!

imqwerty
 one year ago
Best ResponseYou've already chosen the best response.3u were going to tell a number

whpalmer4
 one year ago
Best ResponseYou've already chosen the best response.1yes, exactly, in this case, the value of \(f(x) = 17\) for every value of \(x\)

Hero
 one year ago
Best ResponseYou've already chosen the best response.0f(2) = f(3) f(3) = f(4) f(4) = f(5) ...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0it was a trick question everything equals 17
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