anonymous
  • anonymous
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)?
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
whpalmer4
  • whpalmer4
If we know that \(f(x) = f(x+1)\) for all values of \(x\), then if we know \(f(4)=17\), what does \(f(5)=\)
anonymous
  • anonymous
um is it 6?
imqwerty
  • imqwerty
To 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.

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
wait why is f(8)=17? I'm so confused ....
whpalmer4
  • whpalmer4
\[f(x) = f(x+1)\]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
  • anonymous
yes i understand that but y is f(8)=17?
whpalmer4
  • whpalmer4
we know that \(f(4) = 17\) right?
anonymous
  • anonymous
yes
imqwerty
  • imqwerty
Another 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
  • whpalmer4
okay, and we know that whatever value \(f(x)\) has, \(f(x+1)\) has the same value
anonymous
  • anonymous
yes
whpalmer4
  • whpalmer4
so 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
  • anonymous
wait what? why is f(5)=17 now?
whpalmer4
  • whpalmer4
for any value of \(x\), pick a number, any number, \(f(x) = f(x+1)\) or \(f(x+1) = f(x)\)
whpalmer4
  • whpalmer4
the problem tells us that..."for all numbers x"...
anonymous
  • anonymous
okay yes
whpalmer4
  • whpalmer4
okay, so if \{f(4) = 17\), then we are taking \(x = 4\) and we can write \(f(4) = f(4+1) = 17\) because \(f(x) = f(x+1)\)
anonymous
  • anonymous
yes
whpalmer4
  • whpalmer4
okay, if f(5) = 17, what does f(6)? remember, 5+1 = 6
anonymous
  • anonymous
wait.... so this is a trick question? everything equals to 17?
imqwerty
  • imqwerty
yes it is tricky
imqwerty
  • imqwerty
yomamafb u r forgetting somthing
anonymous
  • anonymous
?
anonymous
  • anonymous
oh i just saw your reply ..... so EVERYTHING equals to 17? wth so this was a trick question!
imqwerty
  • imqwerty
u were going to tell a number
whpalmer4
  • whpalmer4
yes, exactly, in this case, the value of \(f(x) = 17\) for every value of \(x\)
anonymous
  • anonymous
fml
Hero
  • Hero
f(2) = f(3) f(3) = f(4) f(4) = f(5) ...
anonymous
  • anonymous
it was a trick question everything equals 17

Looking for something else?

Not the answer you are looking for? Search for more explanations.