1. Consider the function f(x) = 2x2 – 3x+4. a) Determine the average rate of change between the point where x = 1 and the point determined by each x-value. i) x = 4 ii) x = 1.5 iii) x = 1.1 b) Describe the trend in the average slopes. Predict the slope of the tangent at x= 1.

1. Consider the function f(x) = 2x2 – 3x+4. a) Determine the average rate of change between the point where x = 1 and the point determined by each x-value. i) x = 4 ii) x = 1.5 iii) x = 1.1 b) Describe the trend in the average slopes. Predict the slope of the tangent at x= 1.

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

I need help with b) and DO NOT use l'hopitals methods because I have not learned that!!!

1. Consider the function f(x) = 2x2 – 3x+4.
a) Determine the average rate of change
between the point where x = 1 and the point
determined by each x-value.
i) x = 4
ii) x = 1.5
iii) x = 1.1
b) Describe the trend in the average slopes.
Predict the slope of the tangent at x= 1.

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