Question

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

Answer 1

@Vocaloid

Answer 2

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?

Answer 3

yes

Answer 4

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?

Answer 5

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

Answer 6

@mhchen ?

Answer 7

yeah

and in that interval between x=0 and 1, the function is

f(x) = 2



understand?

Answer 8

yes

Answer 9

what about the next function? @mhchen

Answer 10

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?

Answer 11

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.

Answer 12

https://dlap.gradpoint.com/Resz/~0.hpA-mOMelFMyUA6.E8nsNCbP7Zj4DzTvgH2qOowctLoNnspM1VAi3Bx1-jg/7234256,D47/Assets/questions/quiz/precalculus/pcalcomf/IMG71678.png?

Answer 13

is that correct?

Answer 14

Yeah...