a. Sketch the graph of y = |2x + 4| for -6

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5. a. Sketch the graph of y = |2x + 4| for -6 < x < 2, showing the coordinates of the points where the graph intersects the axes.
b. On the same diagram, sketch the graph of y = x + 5.
c. Solve the equation |2x + 4| = x + 5.

SnapAndSolve AI · Accepted Answer

Sketch the graph of y = |2x + 4| for -6 < x < 2: The graph of y = |2x + 4| is a V-shaped graph. It intersects the x-axis where 2x + 4 = 0, which gives x = -2. The y-intercept is at y = |2(0) + 4| = 4. Plot these points and draw the V-shape for the given domain. On the same diagram, sketch the graph of y = x + 5: This is a straight line with a slope of 1 and a y-intercept of 5. It intersects the x-axis where x + 5 = 0, which gives x = -5. Plot these points and draw the line. Solve the equation |2x + 4| = x + 5: Solve the two cases: Case 1: 2x + 4 = x + 5, which simplifies to x = 1. Case 2: -(2x + 4) = x + 5, which simplifies to -2x - 4 = x + 5, giving x = -3. Thus, the solutions are x = 1 and x = -3.

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a. Sketch the graph of y = |2x + 4| for -6 < x < 2, showing the coordinates of the points where the graph...

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