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The figure above shows the graph of the function h and line
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16 Nov 2020, 07:14
16 Nov 2020, 07:14
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GRE The figure above shows the graph .jpg [ 32.57 KiB | Viewed 3820 times ]
The figure above shows the graph of the function h and line segment \(\overline{AB}\), which has a y-intercept of (0, b).
Quantity A |
Quantity B |
The number of values of x between j and k for which h(x) = b |
4 |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Kudos for the right solution and explanation
Source: 320 GRE Math Questions
Re: The figure above shows the graph of the function h and line
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16 Nov 2020, 14:26
16 Nov 2020, 14:26
3
The image shows the graph for function y=h(x)
Quantity A is asking us to find h(x) = b which means for how many values of x will value of y be equal to b.
As we can see from the graph if you draw a horizontal line parallel to the x-axis on y = b, then it will intersect the function h(x) at 3 places.
Therefore, the answer is B.
Please correct me if I am wrong.
Quantity A is asking us to find h(x) = b which means for how many values of x will value of y be equal to b.
As we can see from the graph if you draw a horizontal line parallel to the x-axis on y = b, then it will intersect the function h(x) at 3 places.
Therefore, the answer is B.
Please correct me if I am wrong.
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Re: The figure above shows the graph of the function h and line
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09 Dec 2020, 16:43
09 Dec 2020, 16:43
2
Carcass wrote:
Attachment:
GRE The figure above shows the graph .jpg
The figure above shows the graph of the function h and line segment \(\overline{AB}\), which has a y-intercept of (0, b).
Quantity A |
Quantity B |
The number of values of x between j and k for which h(x) = b |
4 |
A lot of students will have trouble with the notation used here. So, let's examine that first.
First of all, every point on the curve satisfies the equation of that curve.
In this particular case, we aren't told what that equation is. All we know is that, y = h(x)
So, for example, if h(x) = 2x + 1, then the equation of the curve would be y = 2x + 1
If it were the case that h(x) = x² - 3x - 4, then the equation of the curve would be y = x² - 3x - 4
And so on.
Now let's say the point (-3, 13) lies ON the curve.
This tell us that, when x = -3, y = 13
Since y = h(x), this means h(-3) = 13
In other words, when we plug x = -3 into the function, the output is 13
Let's also say the point (5, 3) lies ON the curve.
This tell us that, when x = 5, y = 3
This means h(5) = 3
In other words, when we plug x = 5 into the function, the output is 3
Now let's move on to the question: How many values of x between j and k are there for which h(x) = b?
Since y = h(x), we can reword the question as follows: How many values of x between j and k are there for which y = b?
In other words, how many points lie on the curve such that the y-coordinate is b?
We've already been told that the LINE AB intersects the y-axis at the point (0,b)
If we draw a horizontal line from this point, all of the points on this horizontal line will have b as their y-coordinate
We can all see that there are THREE points on the curve that have b as their y-coordinate
In other words, there are THREE x-values that such that h(x) = 3
We get:
Quantity A: 3
Quantity B: 4
Answer: B
