Need asap a piecewise function g(x) is represented by the graph. which functions represent a piece of the function? check all that apply. g(x) = −2x, −2 < x < 0 g(x) = −2, x < −2 g(x) = x − 2, −2 < x < 1 g(x) = −2x + 6, x ≥ 1 g(x) = x/2+ 1, –2 ≤ x < 1

We have been given a graph of piecewise function. Using that we have to select the function from given choices which is represented by graph.

g(x) = −2x, −2 < x < 0

NO. Because g(x) = −2x has negtive slope so that means it goes downward also there is no y-intercept in g(x) = −2x but the only graph that has y-intercept in given graph goes upwawrd so that can't be answer.

g(x) = −2, x < −2

YES. Because g(x) = −2 is a horizontal line which is only on the left side oof x=-2. Graph of this part is present in given graph. So yes it is answer.

g(x) = x − 2, −2 < x < 1

NO. Because g(x) = x−2 has y-intercept at y=-2 and slope 1 so that means graph of g(x)= x-2 must be going upward and crossing at y=-2 butt there is no such graph. Hence this can't be answer.

g(x) = −2x + 6, x ≥ 1

YES. Because g(x) = −2x+6 satisfies the graph which is going downward.

g(x) = x/2+ 1, –2 ≤ x < 1

YES. Because g(x) = x/2+ 1 satisfies the graph which is going downward.

answer:

c. the third graph

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step-by-step explanation:

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