12-3 Tangent Lines and Velocity
Find the slope of the lines tangent to the graph
of each function at the given points.
1. y = x2 − 5x; (1, −4) and (5, 0)
SOLUTION: 2. y = 6 − 3x; (−2, 12) and (6, −12)
SOLUTION: Find the slope of the line tangent to the graph at (–2,
12).
Find the slope of the line tangent to the graph at (1,
−4).
Find the slope of the line tangent to the graph at (6, –
12).
Find the slope of the line tangent to the graph at (5, 0).
3. y = x2 + 7; (3, 16) and (6, 43)
SOLUTION: Find the slope of the line tangent to the graph at (3,
16).
2. y = 6 − 3x; (−2, 12) and (6, −12)
SOLUTION: Find the slope of the line tangent to the graph at (–2,
12).
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4. y =
12-3 Tangent Lines and Velocity
; (1, 3) and (3, 1)
SOLUTION: Find the slope of the line tangent to the graph at (1, 3).
2
3. y = x + 7; (3, 16) and (6, 43)
SOLUTION: Find the slope of the line tangent to the graph at (3,
16).
Find the slope of the line tangent to the graph at (6,
43).
4. y =
Find the slope of the line tangent to the graph at (3, 1).
; (1, 3) and (3, 1)
SOLUTION: Find the slope of the line tangent to the graph at (1, 3).
5. y = x3 + 8; (−2, 0) and (1, 9)
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SOLUTION: Find the slope of the line tangent to the graph at (–2,
6. y =
12-3 Tangent Lines and Velocity
; (2, 0.25) and (−1, 1)
SOLUTION: Find the slope of the line tangent to the graph at (2,
0.25).
5. y = x3 + 8; (−2, 0) and (1, 9)
SOLUTION: Find the slope of the line tangent to the graph at (–2,
0).
Find the slope of the line tangent to the graph at (1, 9).
Find the slope of the line tangent to the graph at (–1,
1).
6. y =
; (2, 0.25) and (−1, 1)
SOLUTION: Find the slope of the line tangent to the graph at (2,
0.25).
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