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Answer:
B
Step-by-step explanation:
One good way to look at this is to graph both polynomials, as shown in the picture. A tip to help graph is to factor it out and work from there. For example, in x²+14x+48, we can gather that (x+6)(x+8) is the same thing, and it is easier to then graph it. Similarly, for x²+12x+36, we can factor it out as (x+6)² .
When x²+12x+36 approaches 6, it is getting really close to 0, but it stays positive. When x²+14x+48 approaches 6 from the negative side, it is also getting close to 0, but it's negative. When x²+14x+48 approaches 6 from the positive side, it is positive.
Therefore, on the negative side, there is one positive and one negative (dividing a negative by a positive is negative, and a positive by a negative is also negative) , and on the positive side, there are two positives, forming one answer.The answer is therefore B
Graph is attached below.
Step-by-step explanation:
We have to graph function y = 2x,
From equation, we can see a linear relationship between the values of x and y. This equation shows that the value of y is double than the value of x.
For example,
<u>x = 0</u>
y = 2(0)
y = 0
So, point would be (0,0)
<u>x = 1</u>
y = 2(1)
y = 2
So, point would be (1,2)
<u>x = 3</u>
y = 2(3)
y = 6
So, point would be (3,6)
<u>x = -1</u>
y = 2(-1)
y = -2
So, point would be (-1,-2)
<u>x = -3</u>
y = 2(-3)
y = -6
So, point would be (-3,-6)
By matching these points, a linear graph can easily be drawn. I have also attached the graph pic below.
Keywords: function, graph
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