The instantaneous slope of f(z) when f(z) is polynomial f(z) = +z² + 4z + 14 compute the instantaneous slope at: (-2,7)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter4: Linear Functions
Section4.1: Linear Functions
Problem 121SE: Suppose that average annual income (in dollars) forthe years 1990 through 1999 is given by the...
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The instantaneous slope of f(x)
when f(x) is polynomial
f(x) = +2? + 4x + 14
compute the instantaneous slope at: (-2, 7)
Start with two points
A:(-2,7) and B : (-2+ h, ?)
What is the y-coordinate of B?
+ 3h +7
• Because the r-coordinate of B depends on h, the y-coordinate will also depend on h.
Compute Ar and Ay
Now that we have:
A:(-2,7) and B :
(-2+h, (-2+ h)² + (-2 + h) + 14)
Compute Ar =
Compute Ay =
Transcribed Image Text:The instantaneous slope of f(x) when f(x) is polynomial f(x) = +2? + 4x + 14 compute the instantaneous slope at: (-2, 7) Start with two points A:(-2,7) and B : (-2+ h, ?) What is the y-coordinate of B? + 3h +7 • Because the r-coordinate of B depends on h, the y-coordinate will also depend on h. Compute Ar and Ay Now that we have: A:(-2,7) and B : (-2+h, (-2+ h)² + (-2 + h) + 14) Compute Ar = Compute Ay =
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