Question

Piecewise funcition help please?
Write the equation of the piecewise function that is represented by its graph.

Answer 1

The graph is compounded of two functions, each with a restricted domain. Thus find the equation of each function with its respective domain, and hence you will determine the piecewise function.

Answer 2

How do I find the function's equation? @calculusfunctions

Answer 3

Always view a graph from left to right. Hence firsr consider the green section. What parent function does this remind you of? Hint: it's a reciprocal function.

Answer 4

@calculusfunctions -1/1, so x = -1? The answer that seems to line up most with that is B, am I correct?

Answer 5

I'm not sure what you mean by B because I don't see any multiple choice options, however you have the right idea. The equation for the green section is\[y =\frac{ 1 }{ x }\]with the the domain\[x \le 1\]

Answer 6

I attatched my answer choices in a picture next to the graph @calculusfunctions

Answer 7

Please help :/

Answer 8

Oh I see! lol. Okay then B wouldn't be the correct choice if you consider the restriction (domain).

Answer 9

Look at the domain I gave you above. Based on that domain which of the three would be the ideal choice?

Answer 10

A, because it has x >(or equal to) 1?

Answer 11

@calculusfunctions

Answer 12

Yes but you mean x < 1. Infact now I see that they made an error becuse they have x < -1 but it's x < 1.

Answer 13

Okay, thank you so much!!!

Answer 14

Welcome!