Answer:
(d) see attached (bottom right)
Explanation:
You want the graph that can help solve the equation 2^x -1 = x +2.
Graph
A suitable graph will have a plot of the left-side expression, and a plot of the right-side expression.
The expression 2^x -1 will have a horizontal asymptote at y = -1, and will cross the y-axis at 2^0 -1 = 0, the origin.
The only graph with 2^x -1 correctly plotted is the one at lower right, graph D.
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Additional comment
The solutions to the equation are the x-values where the graphs intersect.
x ≈ {-2.863, 2.445}
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