2. What is the average rate of change between x = 2 and x = 3 for the function g(x) = 4(x + 1)² -5 (3 marks)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 7E
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Can you please help me with question 2 and 3? Thank you

1. Evaluate.
a) lim
x--2
b) lim
x³ - 2x² +12
x² +1
x² -8x+7
X-7 x-7
(2 marks)
(2 marks)
2. What is the average rate of change between x = 2 and x = 3 for the function g(x) = 4(x + 1)² - 5
(3 marks)
3. For the function g(x)=x³ - 2x²-1, at what tangent point is the instantaneous rate of change equal
to-1? (3 marks)
Transcribed Image Text:1. Evaluate. a) lim x--2 b) lim x³ - 2x² +12 x² +1 x² -8x+7 X-7 x-7 (2 marks) (2 marks) 2. What is the average rate of change between x = 2 and x = 3 for the function g(x) = 4(x + 1)² - 5 (3 marks) 3. For the function g(x)=x³ - 2x²-1, at what tangent point is the instantaneous rate of change equal to-1? (3 marks)
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