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MCS121 Calculus I Section 0.1 Functions

MCS121 Calculus I Section 0.1 Functions. Calculus - the Study of Functions. Definition 0.1.1 (p. 1) ‏. Definition 0.1.2 (p. 2) ‏. Function Graphs. Definition 0.1.3 (p. 5) The Vertical Line Test. Figure 0.1.7 (p. 5) This curve cannot be the graph of a function.

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MCS121 Calculus I Section 0.1 Functions

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  1. MCS121Calculus I Section 0.1 Functions

  2. Calculus - the Study of Functions Definition 0.1.1 (p. 1)‏ Definition 0.1.2 (p. 2)‏

  3. Function Graphs

  4. Definition 0.1.3 (p. 5)The Vertical Line Test

  5. Figure 0.1.7 (p. 5)This curve cannot be the graph of a function.

  6. Example- Absolute Value Function

  7. Domain and Range of a Function Figure 0.1.12 (p. 7)The projection of y = f(x) on the x-axis is the set of allowable x-values for f, and the projection on the y-axis is the set of corresponding y-values.

  8. Domain and Range of a Function Definition: The domain of y=f(x) is the set of all values of x for which f(x) is defined. The range is the set of corresponding y-values associated to the x domain values.

  9. Example Question 1 Find the natural domain and range of the function

  10. Example Figure 0.1.17 (p. 9)‏ Let V be the volume of a box constructed as below. Find a formula for V(x). Find the domain of V.

  11. Figure 0.1.17 (p. 9)‏

  12. Class Practice

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