Respuesta :

we are given

graph of h(x)

we can locate points on the graph at x=3

because we have to find h(3)

that is (3,1)

so,

[tex]h(3)=1[/tex]

Hence , option-C...........Answer

The value of h(3) is 1 because it touches the graph of a piecewise function at (3, 1) option (c) is correct.

What is piecewise function?

A piecewise function is one that has several curve parts in its graph.

It means that, based on the value of the input, it has countless definitions.

A piecewise function, in other words, performs differently depending on the input.

We have a piecewise function h(x) is shown on the graph.

We have to find the value of h(3) it means at x = 3 what is the value of h(3) on the graph.

For this on horizontal x-axis, pick a point x = 3

And move vertically until it touches the graph of a function.

It touches the graph at y = 1, the value of h(3):

h(3) = 1

Thus, the value of h(3) is 1 because it touches the graph of a piecewise function at (3, 1) option (c) is correct.

Learn more about the piecewise function here:

https://brainly.com/question/12561612

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