Question
Graph the following functions by filling out the X/Y chart using the given inputs
![Y equals square root of X plus 7 end root](data:image/png;base64,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)
X | -7 | -6 | -3 | 2 | 9 |
Y |
Hint:
First, we complete the table by calculating the values of y corresponding to each value of x from the given equation. To make the graph of the function, we draw perpendicular lines, x axis and y axis; then we plot the ordered points in the xy plane and join the points by a smooth curve to get the required graph.
The correct answer is: 0,1,2,3,4
Step by step solution:
The given equation is
![Y equals square root of X plus 7 end root](data:image/png;base64,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)
Putting x = -7 in the above equation, we get the value of y as
![y equals square root of negative 7 plus 7 end root equals 0](data:image/png;base64,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)
Similarly, putting x = -6, we get
![y equals square root of negative 6 plus 7 end root equals square root of 1 equals 1](data:image/png;base64,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)
Putting x = -3 we have
![y equals square root of negative 3 plus 7 end root equals square root of 4 equals 2](data:image/png;base64,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)
Putting x = 2 we have
![y equals square root of 2 plus 7 end root equals square root of 9 equals 3](data:image/png;base64,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)
Finally, putting x = 9, we have
![y equals square root of 9 plus 7 end root equals square root of 16 equals 4](data:image/png;base64,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)
Completing the table, we have
x
-7
-6
-3
2
9
y
0
1
2
3
4
We plot these points on the xy plane
![](data:image/png;base64,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)
After plotting the points, we join them with a smooth curve to get the graph of the equation.
We can find the tabular values for any points of x and then plot them on the graph. But we usually choose values for which calculating y is easier. Either way, we need points satisfying the equation to plot its graph.
Related Questions to study
Make and test a conjecture about the square of even numbers.
Make and test a conjecture about the square of even numbers.
Graph the following functions by filling out the X/Y chart using the given inputs
![straight Y equals square root of X plus 9 end root](data:image/png;base64,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)
X | -9 | -8 | -5 | 0 | 7 |
Y |
We can find the tabular values for any points of x and then plot them on the graph. But we usually choose values for which calculating y is easier. Either way, we need points satisfying the equation to plot its graph.
Graph the following functions by filling out the X/Y chart using the given inputs
![straight Y equals square root of X plus 9 end root](data:image/png;base64,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)
X | -9 | -8 | -5 | 0 | 7 |
Y |
We can find the tabular values for any points of x and then plot them on the graph. But we usually choose values for which calculating y is easier. Either way, we need points satisfying the equation to plot its graph.
Choose the synonym for 'Present’?
Choose the synonym for 'Present’?
Make and test a conjecture about the square of odd numbers.
Make and test a conjecture about the square of odd numbers.
Complete the sentences with a subordinating cogs Rehire, at trough once. since
Complete the sentences with a subordinating cogs Rehire, at trough once. since
Graph the following functions by filling out the X/Y chart using the given inputs
![straight Y equals x over 3 plus 2](data:image/png;base64,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)
X | -6 | -3 | 0 | 3 | 6 |
Y |
We can find the tabular values for any points of x and then plot them on the graph. But we usually choose values for which calculating y is easier. Either way, we need points satisfying the equation to plot its graph.
Graph the following functions by filling out the X/Y chart using the given inputs
![straight Y equals x over 3 plus 2](data:image/png;base64,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)
X | -6 | -3 | 0 | 3 | 6 |
Y |
We can find the tabular values for any points of x and then plot them on the graph. But we usually choose values for which calculating y is easier. Either way, we need points satisfying the equation to plot its graph.
Make and test a conjecture about the sign of the product of any two negative integers.
Make and test a conjecture about the sign of the product of any two negative integers.
Choose whether the following is a simile or a metaphor
"Busy as a bee"?
Choose whether the following is a simile or a metaphor
"Busy as a bee"?
Mark has
100 gift card to buy apps for his smart phone .Each week he buys one new app for
4.99
a) Write an equation that relates the amount left on the card ,y , over time x.
b) Make a graph of the function
We can find the tabular values for any points of x and then plot them on the graph. But we usually choose values for which calculating y is easier. This makes plotting the graph simpler. We can also find the values by putting different values of y in the equation to get different values for x. Either way, we need points satisfying the equation to plot its graph.
Mark has
100 gift card to buy apps for his smart phone .Each week he buys one new app for
4.99
a) Write an equation that relates the amount left on the card ,y , over time x.
b) Make a graph of the function
We can find the tabular values for any points of x and then plot them on the graph. But we usually choose values for which calculating y is easier. This makes plotting the graph simpler. We can also find the values by putting different values of y in the equation to get different values for x. Either way, we need points satisfying the equation to plot its graph.
Chore the correct synonym for the word 'text'.
Chore the correct synonym for the word 'text'.
Choose the synonym for "Jumped”
Choose the synonym for "Jumped”
Use the function Y = 1.5X + 3 to complete the table of values.
X | ||||
Y | 9 | 6 | 0 | -3 |
We should always try to rewrite the equation in terms of the variable whose value is given so that it is easy to find the value of the required variable. Then we just need to calculate the values carefully.
Use the function Y = 1.5X + 3 to complete the table of values.
X | ||||
Y | 9 | 6 | 0 | -3 |
We should always try to rewrite the equation in terms of the variable whose value is given so that it is easy to find the value of the required variable. Then we just need to calculate the values carefully.
Rewrite the sentences using possessive nouns
Rewrite the sentences using possessive nouns
Choose the synonym 6 ‘auditory'
Choose the synonym 6 ‘auditory'
You have an ant form with 22 ants. The population of ants in your farm doubles every 3 months.
a) Complete the table .
![](data:image/png;base64,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)
b) Is the relation forms a function ? If so , is it a linear function or non linear function ? Explain.
We can also check if the relation is a function or not graphically by using the vertical line test. A graph represents a function if any vertical line in the xy plane cuts the graph at maximum one point.
And it is linear if the graph drawn is a straight line.
You have an ant form with 22 ants. The population of ants in your farm doubles every 3 months.
a) Complete the table .
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)
b) Is the relation forms a function ? If so , is it a linear function or non linear function ? Explain.
We can also check if the relation is a function or not graphically by using the vertical line test. A graph represents a function if any vertical line in the xy plane cuts the graph at maximum one point.
And it is linear if the graph drawn is a straight line.