Section 1.2

Section 1.2 PowerPoint PPT Presentation


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Section 1.2

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1. Section 1.2 Introduction to Relations and Functions

2. Set-Builder Notation ex. read “the set of all x such that x is greater than or equal to –3”

3. Interval Notation ex. read “the set of numbers greater than or equal to –3”

4. Relation Relation- is a set of ordered pairs ** The ordered pairs are denoted by (x, y) ** Domain- the set of all x-values Range- the set of all y-values

5. Function (A special relation) Function- a relation in which each element in the domain corresponds to exactly one element in the range. *For each x-value, there is exactly one y-value.* Domain- the set of all x-values (independent variable) Range- the set of all y-values (dependent variable)

6. Function We are going to be dealing with functions where we think of the . . . function- as a rule that tells how to determine the dependent variable for a specific value of the independent variable.

7. Four Ways to Represent a Function Verbally (description in words) Numerically (by a table of values) Visually (by a graph) Algebraically (by a formula)

8. A Function Verbally p. 16 ex. The amount of sales tax depends on the amount of the purchase.

9. A Function Numerically Use a table of values: x y 19 0 10 -1 7

10. A Function Visually Any function can be visually represented by a graph.

11. Vertical Line Test If every vertical line intersects a graph in no more than one point, then the graph is the graph of a function

12. A Function Algebraically f(x) = 3x + 10 To solve a function: Evaluate the function.

13. Function Notation “y is a function of x” y depends on x y = f (x) f (x) is just another name for y ! ex. f(x) = 3x + 10

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