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Name _____________________
What Do the Graphs of Linear Functions Look Like?
Graph each of the following equations using a graphing calculator, and then sketch all four lines on the same axis.
Slope Intercept Form: y = mx+b
A.
y = 2x+6
y = 2x+3
y = 2x+5
y = 2x+1 |
| 1. |
What stays the same when the lines are drawn?
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 |
| 2. |
What is different?
|
| 3. |
Explain what the graph of y = 2x-5 would look like.
|
| 4. |
How does changing b, the y-intercept, affect the graph of y = mx+b?
|
B.
y = x+3
y = 2x+3
y = 4x+3
y = 3x+3 | |
| 1. |
What stays the same when the lines are drawn?
|
| 2. |
What is different?
|
| 3. |
Explain what the graph of y = 5x+3 would look like.
|
| 4. |
How does changing m, the slope, affect the graph of y = mx+b?
|
C.
y = -2x+6
y = -2x+3
y = -2x+5
y = -2x+1 | |
| 1. |
What stays the same when the lines are drawn?
|
| 2. |
What is different?
|
| 3. |
Explain what the graph of y = -2x+2 would look like.
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| 4. |
Make a conjecture about how m, the coefficient of x, affects the graph of y = mx+b.
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D.
y = -x+4
y = -2x+4
y = -4x+4
y = -3x+4 | |
| 1. |
What stays the same when the lines are drawn?
|
| 2. |
What is different?
|
| 3. |
Explain what the graph of y = -5x+4 would look like.
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| 4. |
Make a conjecture about how adding 4 affects the graph of y = mx+b.
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E.
How has using the graphing calculator assisted you in understanding what the graphs of linear functions look like? |
F.
What conclusions can you make? |
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