Question

Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences. The equation is
f(x)=175-6x/4 How can I do this?

Answer 1

HI!!

Answer 2

it is in function notation already \[f(x)=\frac{175-6x}{4}\] if i am reading it correctly

Answer 3

@misty1212 yes I believe so

Answer 4

you could rewrite if if you like as \[f(x)=\frac{175}{4}-\frac{3}{2}x\] but is is the same either way

Answer 5

that way, it is easier to see that the graph is a line with slope \(-\frac{3}{2}\) and \(y\)-intercept \(\frac{175}{4}\)

Answer 6

@misty1212 okay, so two points on my graph would be 0,175 on the y intercept and 150,-50 on the x intercept. How do I explain what the graph of the function represents?

Answer 7

it would not be \((0,175) \) but rather \((0,\frac{175}{4})\)
can you post a screen shot?

Answer 8

it just seems kind of weird

Answer 9

@misty1212 yeah one sec ill post it

Answer 10

kk

Answer 11

@misty1212 Here it is I put in the equation 175-6x/4

Answer 12

oh so it was \[f(x)=175-\frac{6x}{4}\]?

Answer 13

@misty1212 yes

Answer 14

what i was asking for what the original question, that would help

Answer 15

ok then that is a line with y intercept \((0,175)\) and slope \(-\frac{3}{2}\)

Answer 16

I think you should make sure what the original equation was so there is no confusion at the end. Parenthesis can make a huge difference in these problems.

Answer 17

good idea
that is why a screen shot would really help

Answer 18

@misty1212 ok sorry for the confusion. I believe I knw what the graph looks like but what does it represent? that is what I don't get and I don't know how to explain that

Answer 19

i don't know either
the graph of the function is the graph of \(y=f(x)\), the points on the graph are all \((x,f(x))\) but i am not sure what the question is actually asking, nor what the function actually is

Answer 20

Screen shot the question itself, mate

Answer 21

@misty1212 okay, should I consider thinking that the fuction notation is f(x)=175-6x/4
and the graph of the function represents the function? and sure ill add a screenshot

Answer 22

Here is the original question

Answer 23

'Write the equation in function notation.' I'm guessing you are given one or you are meant to write your own?

Answer 24

The original equation is 6x+4y=700 which turns into slope intercept form which is
y=175-6x/4.

Answer 25

Wow. Lost everything...

\( \sf f(x) = y = 175 - \dfrac{6}{4}x \rightarrow 175 - \dfrac{3}{2}x \)

Slope is negative, essentially meaning the rate at which the linear function progresses will downscale into larger negative "tones."

To find the intercepts, set Y equal to zero and then X equal to zero:

0 = 175 - 3/2x
-175/(-3/2) = 116.667

Y-intercept is basic, y = 175 - 3/2(0)