Answer
A. X= -2.9,-2, 2.3, 3
B. No values
C. Y=0
D. [-1.8,2.2]
E. Max: (-2.6,2.8) Min: (1.2,-2.2)
Work Step by Step
A. The graph (Figure Ex-1) crosses the "Y=1" line multiple times. The x-values for the intersections between the figure's graph and Y=1 can be found by drawing a straight line down from the intersection to the X-axis.
B. The graph given (Figure Ex-1) never goes above 2.8, and thus the Y values never equal 3. Therefore, there are no X values in which the Y=3 as well.
C. According to the graph (Figure Ex-1), X equals 3 is when the graph crosses the X-axis. When a graph crosses the X-axis, the Y value for said point equals 0.
D. The question asks for the domain of when Y is less than or equal to zero. Essentially, it asks for how long (in terms of X) is the graph below the X-axis. The graph is below the X-axis from -1.8 to 2.2. Hence the notation [-1.8,2.2]. Brackets are used to include the values -1.8 and 2.2 in the domain, since the question includes equal to 0 and the Y-values at -1.8 and 2.2 are zero.
E. Maximum and minimum values are found by looking at the graph and finding the greatest and smallest y-values on the graph. In this case, according to the graph, the largest y-value is 2.8 and the smallest is -2.2. The corresponding X-values for the maximum/minimum Y-values can be found by drawing the straight line from said max or min to the x-axis and recording the value found.
