a. To start, the domain of a function is the range of x values a graph has.
In the graph shown, you have a graph with x values that range from -4 to 0.
However, notice in the graph, there is a hole at the point (-4,6). This hole means that in the function, the domain value of -4 is not included in the domain.
Therefore, to represent your domain in interval notation, you would have: (-4, 0]
**a parenthesis before a value signifies the value is not included (-4 is not included due to the hole) and a bracket signifies the value is included.
b. The range of a function is the range of y values the function has. Notice how the function's values range from -9 to 6, however there is a hole in the y value of 6 meaning it is not included. Therefore, your range should be [-9, 6).
c. To start, the x-intercept of a graph is the point in which the line passes through the x axis. In the graph shown, the line passes through the x axis at (-3,0). Therefore, your x-intercept would be (-3,0).
d. Similar to the x-intercept, the y-intercept of a graph is the point in which the line passes through the y-intercept. In the graph shown, the line passes through the y axis at (0,-9). Therefore, your y-intercept would be (0,-9).
e. To find the function value in the graph, first locate -2, the given value in f(-2), on the x-axis. Now, trace the point towards the line to find where the x values of -2 lies on the graph, which would be at point (-2,-5). Knowing this, f(-2) would be -5, the y value of the point.
When you bisect something you are cutting it in half. so in the image above when you cut it in half you would be forming 2 angles. Your answer is D. because when you cut in half you are going to have equal sides. Its like taking an 75 degrees and bisecting it and each of the new angles would be 37.5.
Step-by-step explanation: This graph shows a Translation, meaning the figure moved. Yes, the rotation of the second figure is 180 degrees, but it was also Translated downwards 2 points down and one to the right.
If the answer were closer to 8 1/2 inches then when measuring to the nearest quarter inch, the answer would have been 8 1/2. Instead the answer was 8 1/4 because the length was closer to 8 1/4 than it was to 8 1/2.
