Step-by-step explanation:
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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! :)
Answer:
Jet= 420 mph Wind = 10mph
Step-by-step explanation:
The speed of the plane in a tailwind can be modeled by x+y where x is the speed of the plane and y is the speed of the wind. Dividing 1290 by 3 gets you the average speed of the jet in a tailwind, which is 430.
The speed of the plane in a headwind can be modeled by x-y where x is the speed of the plane and y is the speed of the wind. Dividing 1230 by 3 gets you the average speed of the jet in a tailwind, which is 410.
This can be modeled by a system of equations, where x+y=430 and x-y=410. Solving the equation you get x=420 and y=10.
So, the speed of the jet is 420 mph and the speed of the wind is 10 mph.
Answer:
y=2x+3
Step-by-step explanation:
equation format: y=mx+b
m=slope
b=y-intercept
replace those letters with those things and you can have a perfect linear equation
Answer:
The domain is {3,6,−1,5,−4}
Step-by-step explanation: