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Create a table and graph for the relation y = 3x − 2 for x = -2, -1, 0, 1, 2. Use the graph to find y when x = 2.5 and x when y = 7.
ScanSolve AI Answer
Answer
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| Point | x | y |
|---|---|---|
| y-intercept | 0 | −2 |
| x-intercept | 0.67 | 0 |
Step-by-step solution
4 stepsHere's the solution for question 4.
4. (a) Create a table for the relation for .
Step 1: Calculate for each given value using the relation .
- For :
- For :
- For :
- For :
- For :
Step 2: Form the table.
| -2 | -8 |
| -1 | -5 |
| 0 | -2 |
| 1 | 1 |
| 2 | 4 |
4. (b) Draw the graph of the relation and use it to find:
Part i
when
Part ii5.5
when
(Note: As an AI, I cannot draw a graph. I will find the values by substituting into the equation, which is equivalent to reading them from a graph.)
4. (b) (i) Find when .
Substitute into the equation .
Calculate .
So, when is .
4. (b) (ii) Find when .
Substitute into the equation .
Solve for .
Add 2 to both sides:
Divide by 3:
So, when is .
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