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Home > INT3 > Chapter 2 > Lesson 2.2.5 > Problem 2-129

2-129.

Graph these two lines on the same set of axes: and .

  1. What are the - and -intercepts for each equation?

    The -intercepts are and , and the -intercepts are and .

  2. Shade the region bounded by the two lines and the -axis.

    decreasing line, passing through points (0, comma 6), & (12, comma 0), Increasing line passing through the origin, & the point (3, comma 6), triangular area between the lines and above the x axis, is shaded.

  3. What are the domain and range of the region? How did you determine these values?

    Look at the graph or the -intercepts to find the domain. Find the point of intersection to determine the range.

    The domain is , and the range is .

  4. What is the area of the shaded region? Round your answer to the nearest tenth.

    What are the base and height of the triangle?