Domain is the entire span left to right (on the x-axis) that the graph is on. Since the graph goes from x=-4 and ends at x=4, the domain would be from -4 to 4. The circle at -4 is open, so it does not include the point at -4, just everything leading up to it. So, the domain would be
The range is similar, it is the entire span that the graph goes up and down (on the y-axis). The graph starts at the bottom at y=-2, and ends at y=5. The bottom point (4,-2) is closed, so the graph includes that point, and the top point (-4,5) is open and doesn't include the point. Therefore, the range would be
Since we want to find the value of <em>k</em><em> </em>where the limit exists, set both equations equal to each other. Then substitute <em>x</em> = -1 in for each equation to find <em>k</em><em>.</em>
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1. Set both equations equal.
2. Substitute <em>x</em><em> </em>= -1.
3. Solve for <em>k</em><em> </em>by adding <em>k</em><em> </em>to both sides. Continue the process of solving the equation.
Thus, <em>k</em><em> </em>= -2. Check by graphing the function.
When is cos (x) = 0? <em>at 90° (aka π/2)</em>
Answer: