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Answer True or False to each of the following statements. a) The function f(x) 4 is continuous at x= 2. b) The instantaneous rate of change of a function at a point is represented graphically as the slope of the line tangent to the curve at that point. c) The derivative of a linear function is constant.

Answer True or False to each of the following statements. a) The function f(x) 4 is continuous at x= 2. b) The instantaneous rate of change of a function at a point is represented graphically as the slope of the line tangent to the curve at that point. c) The derivative of a linear function is constant.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Question
Answer True or False to each of the following statements. a) The function f(x) 4 is continuous at x= 2. x - 2 b) The instantaneous rate of change of a function at a point is represented graphically as the slope of the line tangent to the curve at that point. c) The derivative of a linear function is constant. d) If y = f(x) , then the units of f'(x) are the units of x over the units of y. e) The function f(x) x + 3 is differentiable at x=-3. f) If a function is differentiable at a point, then the function is also necessarily continuous at that point.
Transcribed Image Text:Answer True or False to each of the following statements. a) The function f(x) 4 is continuous at x= 2. x - 2 b) The instantaneous rate of change of a function at a point is represented graphically as the slope of the line tangent to the curve at that point. c) The derivative of a linear function is constant. d) If y = f(x) , then the units of f'(x) are the units of x over the units of y. e) The function f(x) x + 3 is differentiable at x=-3. f) If a function is differentiable at a point, then the function is also necessarily continuous at that point.
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