Chapters

Find the Intervals of Concavity and Convexity for the Following Functions:
Exercise 1
Exercise 2
Exercise 3
Exercise 4
Exercise 5
Exercise 6
Exercise 7
Exercise 8
Exercise 9
Exercise 10
Exercise 11
Exercise 12
Solution of exercise 1
Solution of exercise 2
Solution of exercise 3
Solution of exercise 4
Solution of exercise 5
Solution of exercise 6
Solution of exercise 7
Solution of exercise 8
Solution of exercise 9
Solution of exercise 10
Solution of exercise 11
Solution of exercise 12

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Find the Intervals of Concavity and Convexity for the Following Functions:

Exercise 1

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Exercise 2

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Exercise 3

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Exercise 4

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Exercise 5

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Exercise 6

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Exercise 7

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Exercise 8

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Exercise 9

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Exercise 10

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Exercise 11

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Exercise 12

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Solution of exercise 1

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Convex: $\text{[math]}$

Concave: $\text{[math]}$

Solution of exercise 2

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Concave: $\text{[math]}$

Convex: $\text{[math]}$

Solution of exercise 3

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Convex: $\text{[math]}$

Concave: $\text{[math]}$

Solution of exercise 4

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Convex: $\text{[math]}$

Solution of exercise 5

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No solution

Convex: $\text{[math]}$

Concave: $\text{[math]}$

Solution of exercise 6

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Convex: $\text{[math]}$

Concave: $\text{[math]}$

Solution of exercise 7

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No solution

Concave: $\text{[math]}$

Solution of exercise 8

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Inflection points: $\text{[math]}$ , $\text{[math]}$

Convex: $\text{[math]}$

Concave: $\text{[math]}$

Solution of exercise 9

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Convex: $\text{[math]}$

Concave: $\text{[math]}$

Solution of exercise 10

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Convex: $\text{[math]}$

Concave: $\text{[math]}$

Solution of exercise 11

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Convex: $\text{[math]}$

Concave: $\text{[math]}$

Solution of exercise 12

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Convex: $\text{[math]}$

Concave: $\text{[math]}$

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Concavity and Convexity Worksheet

Find the Intervals of Concavity and Convexity for the Following Functions:

Exercise 1

Exercise 2

Exercise 3

Exercise 4

Exercise 5

Exercise 6

Exercise 7

Exercise 8

Exercise 9

Exercise 10

Exercise 11

Exercise 12

Solution of exercise 1

Solution of exercise 2

Solution of exercise 3

Solution of exercise 4

Solution of exercise 5

Solution of exercise 6

Solution of exercise 7

Solution of exercise 8

Solution of exercise 9

Solution of exercise 10

Solution of exercise 11

Solution of exercise 12

Theory

Exponent Rules

Composition of Functions

Constant Functions

Convergent and Divergent Sequences

Even and Odd Functions

Exponential Function

Graphing rational function IV

Graphing Functions

Graphing Parabolas

Arithmetic Sequence

Mean Value Theorem

Rolle’s Theorem

Intervals of Increase and Decrease

Periodic Functions

Graphing rational function I

Graphing rational function III

Inflection Points

Increasing and Decreasing Functions

Piecewise Functions

Trigonometric Functions

Arithmetic Sequence Problems

Linear Function

Domain of a Function

Maxima, Minima and Inflection Points

Graphing exponential function II

Linear Functions Worksheet

Monotone Sequence

Radical Functions

Function

Geometric Sequence

x- and y-Intercepts

Bounded Sequence

Graphing rational function 8

L’Hôpital’s Rule

Graphing polynomial function I

Graphing exponential function I

Absolute and Relative Maxima and Minima

Maxima and Minima

Types of Functions

Asymptotes

Coordinates in the Plane

Optimization

nth Term

Graphing rational function V

Limit of a Sequence

Inverse Function

Graphing rational function II

Graphing logarithmic function

Graphing polynomial function II

Quadratic Function

Absolute Value Function

Rational Functions

Sequences