Question

Can someone please help me!! ill fan you and give you a metal!! Functional Values

Answer 1

@amistre64

Answer 2

@SolomonZelman

Answer 3

hi

Answer 4

the reason no one answers is because there is no question to answer
do you have a question? maybe i can help

Answer 5

Given that (8,-1) is on the graph of f(x), find the corresponding point for the function f(-2/3 x).

Answer 6

\[f(-\frac{2}{3}x)\]?

Answer 7

yes that lol

Answer 8

lol ok this is very easy but confusing
what you need to do is solve
\[\frac{-2}{3}x=8\] for \(x\)

Answer 9

x=-12?

Answer 10

yes, now we can answer it

Answer 11

the answer is \((-12,1)\) is on the graph of \(f(-\frac{2}{3}x)\)

Answer 12

because if \(x=-12\) then
\[f(-\frac{2}{3}\times (-12))=f(8)=1\]

Answer 13

im lost????????

Answer 14

ok lets go a bit slow then

Answer 15

because once you understand what the question is asking, it if very simple to solve it
you solved it already quickly, by solving \(-\frac{2}{3}x=8\)

Answer 16

so since you solved it, and got \(x=-12\) what does that mean? it means that
\[-\frac{2}{3}\times (-12)=8\] right?

Answer 17

ya

Answer 18

ok and the question is asking "if \((8,1)\) is on the graph blah blah"
so all you really know about the function is \(f(8)=1\) right?

Answer 19

now is when you say "ya, \(f(8)=1\) and that is all we know about \(f\)" that is clear or not?

Answer 20

i kinda understand the graphing stuff is just not my thing lol its way to conffusing for me /

Answer 21

ok it is not really about graphing though
\((8,1)\) is on the graph is another way of saying that \(f(8)=1\)

Answer 22

that is how you graph, input in the first coordinate, output in the second
so if \((a,b)\) is on the graph that just means \(f(a)=b\)

Answer 23

okay so we know x=-12

Answer 24

so what we know exactly about \(f\) is \(f(8)=1\) nothing else
we are asked about \(f(-\frac{2}{3}x)\) so the only thing we can do is figure out what to plug in for \(x\) to get \(8\)
that is the same as solving
\[-\frac{2}{3}x=8\] for \(x\)

Answer 25

and x=-12 right?

Answer 26

once you find that solving
\[-\frac{2}{3}x=8\] you get
\[x=-12\] that means
\[f(-\frac{2}{3}]\times (-12))=f(8)=1\]

Answer 27

so if \((8,1)\) is on the graph of \(f(x)\) then \((-12,1)\) is on the graph of \(f(-\frac{2}{3}x)\)

Answer 28

actually its 8,-1

Answer 29

the simplest way to think about it if you see another one is this
say \((3,5)\) is on the graph of \(f(x)\) and you are asked what is on the graph of \(f(2x+7)\) then all you wold do is solve
\[2x+7=3\] and put that in the first spot

Answer 30

ok then the answer is \((-12,1)\)

Answer 31

what i am trying to say is that though it may be confusing, finding the solution is easy

Answer 32

no it said it was wrong

Answer 33

try (12,-1) this will be right

Answer 34

hmm i would go with @misty1212 answer of \((-12,-1)\)

Answer 35

yup sorry! it would be (-12,-1) a bit of wrong calculation... thats right.

Answer 36

she got it right just forgot the negative

Answer 37

yup!