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Nov 16, 2022 · For problems 33 – 36 compute (f ∘ g)(x) (f ∘ g) (x) and (g ∘f)(x) (g ∘ f) (x) for each of the given pair of functions. Here is a set of practice problems to accompany the Functions Section of the Review chapter of the notes for Paul Dawkins Calculus I course at Lamar University.
- Solution
6.1 Average Function Value; 6.2 Area Between Curves; 6.3...
- Inverse Functions
Here is a set of practice problems to accompany the Inverse...
- Review
These students end up struggling with the algebra and trig...
- Limits
In this chapter we introduce the concept of limits. We will...
- Calculus I
Here is a set of notes used by Paul Dawkins to teach his...
- Solution
We will describe examples of functions and examples of non-functions. • Define function and the graph of a function. • Interpret different representations of functions. • Determine when a set of ordered pairs is the graph of a function. Fill in the t-tables and draw the graph for each rule.
- If f(x) = 3x + 2 & g(x) = x2 – 1. Find f(g(-3)) a) 26. b) 29. c) 45. d) 35.
- Given f(x) = x2 + x ; if x is a prime number.f(x) = 2x + 5 ; if x is non- prime. Find f(f(1)) a) 54. b) 45. c) 46. d) 56.
- Given f(x) = x3 + 1, g(x) = 2x – 5. h(x) = [f(x)]2 – g(x) Find h(-2) a) 34. b) -23. c) -12. d) 58.
- Given g(x) = x3 – x2 + 2 ; if x is an odd number. g(x) = 2x + 5 ; if x is an even number. Find g(g(3)) a) 35. b) 45. d) 56. d) 58.
A function is a rule which maps a number to another unique number. In other words, if we start off with an input, and we apply the function, we get an output. For example, we might have a function that added 3 to any number.
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In this section, we will learn about how to define and graph functions that are essentially collections of discrete pieces. Examples of something defined this way include designing the profile of a car, figuring out your mobile phone plan, and calculating income tax rates.
Aug 17, 2024 · Functions that involve the basic operations of addition, subtraction, multiplication, division, and powers are algebraic functions. All other functions are transcendental. Trigonometric, exponential, and logarithmic functions are examples of transcendental functions.
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Aug 17, 2024 · In this section, we provide a formal definition of a function and examine several ways in which functions are represented—namely, through tables, formulas, and graphs. We study formal notation and terms related to functions. We also define composition of functions and symmetry properties.
