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Tresset [83]
4 years ago
6

Graphing + Functions

Mathematics
2 answers:
MakcuM [25]4 years ago
6 0
Hey there!

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.

Hope this helps and have a wonderful day! :)
riadik2000 [5.3K]4 years ago
3 0

domain = the X axis so (-4,0)

range = the Y axis so (-9,7)

x intercept = where line crosses x axis so (-3,0)

y intercept = where line starts on y axis so (0,-9)

f(-2) = where line is on y at x -2 = -5

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