Mathematics
eviant:

Write the equation of the piecewise function ƒ that is represented by its graph. https://dlap.gradpoint.com/Resz/~0.hpA-mOMelFMyUA6.E8nsNCbP7Zj4DzTvgH2qOowctLoNnspM1VAi3Bx1-jg/7234256,D47/Assets/questions/quiz/precalculus/pcalcomf/IMG71682.png

9 months ago
eviant:

@Vocaloid

9 months ago
mhchen:

It looks like there's 2 parts to this function. one where x is between 0 and 1. another is from 1 to infinity. Do you understand this so far?

9 months ago
eviant:

yes

9 months ago
mhchen:

Okay so for the part from 0 to 1. There's a filled-in dot at x = 0, so 0 is included. But there is a open-circle at x=1. So for the first part of the function. \[0 \le x<1\] Do you understand this?

9 months ago
eviant:

yes,0 is less than or equal to x, and x less than 1

9 months ago
eviant:

@mhchen ?

9 months ago
mhchen:

yeah and in that interval between x=0 and 1, the function is f(x) = 2 |dw:1539922133461:dw| understand?

9 months ago
eviant:

yes

9 months ago
eviant:

what about the next function? @mhchen

9 months ago
mhchen:

Just follow the same steps. There's an open circle at x=1 and then it goes onto infinity. So the interval is \[1<x\] right?

9 months ago
mhchen:

|dw:1539922393414:dw| and then we need to find out what the bottom function is. Since it's going towards the x-axis but not touching it, I think it's some type of 1/x They gave us 2 points. (1,1) and (2,0.5) to find the equation.

9 months ago
eviant:

is that correct?

9 months ago
mhchen:

Yeah...

9 months ago