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
Answer:
Seven-thirds
Step-by-step explanation:
The give equation is 
.
The leading coefficient is 9
The constant term is 7
According to the rational root theorem, the ratio of factors the constant terms to that of the coefficient of the leading term are all possible rational roots of the given polynomial.
Base on this theorem, 
or seven thirds is a potential root because the numeration is a factor of 7 and the denominator is a factor of 9.
The answer is 0
Explanation
When doing PEMDAS you always move from left to right
4+7=11
-5-6=-11
11-11
= 0
The equation for the table is y = 2.5 x
Step-by-step explanation:
The table is:
- x → 2 : 5.6 : 7 : 8
- y → 5 : 14 : 17.5 : 20
Lets check if the table represents the linear relation by find the ratio between the change of each two consecutive y-coordinates and the change of their corresponding x-coordinates
∵ 
∵ 
∵ 
∴ The rate of change between each two points is constant
∴ The table represent a linear equation
The form of linear equation is y = m x + b, where m is the rate of change and b is value y when x = 0
∵ m = 2.5
- Substitute it in the form of the equation
∴ y = 2.5 x + b
- To find b substitute x and y by the coordinates of any point
in the table above
∵ x = 2 and y = 5
∴ 5 = 2.5(2) + b
∴ 5 = 5 + b
- Subtract 5 from both sides
∴ 0 = b
∴ y = 2.5 x
The equation for the table is y = 2.5 x
Learn more:
You can learn more about the linear equations in brainly.com/question/4326955
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