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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 = 1.5 i) x=4 i) 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 = 1.5 i) x=4 i) x = 1.1 b) Describe the trend in the average slopes. Predict the slope of the tangent at x=1.

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 1SE: Can the average rate of change of a function be constant?
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Please help! Also do not use any university level methods as I am 12 grade and won't understand.

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.
Transcribed Image Text: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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