1 / 14

7.4 Function Notation and Linear Functions

7.4 Function Notation and Linear Functions. Objective 1. Use function notation. Slide 7.4- 2. Name of the function. Name of the independent variable (or value from the domain). Function value (or y -value) that corresponds to x. Use function notation.

emma
Download Presentation

7.4 Function Notation and Linear Functions

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 7.4 Function Notation and Linear Functions

  2. Objective 1 Use function notation. Slide 7.4- 2

  3. Name of the function Name of the independent variable (or value from the domain) Function value (or y-value) that corresponds to x Use function notation. When a function f is defined with a rule or an equation using x and y for the independent and dependent variables, we say, “y is a function of x” to emphasize that y depends on x. We use the notation y = f (x), called function notation, to express this and read f (x) as “f of x.” y = f (x) = 9x – 5 Defining expression Slide 7.4- 3

  4. CLASSROOM EXAMPLE 1 Evaluating a Function Solution: Let Find the value of the function f for x = −3. Slide 7.4- 4

  5. CLASSROOM EXAMPLE 2 Evaluating a Function Let Find the following. f (–3) f (t) Solution: Slide 7.4- 5

  6. CLASSROOM EXAMPLE 3 Evaluating a Function Solution: Let g(x) = 5x – 1. Find and simplify g(m + 2). g(x) = 5x – 1 g(m + 2) = 5(m + 2) – 1 = 5m + 10 – 1 = 5m + 9 Slide 7.4- 6

  7. CLASSROOM EXAMPLE 4 Evaluating Functions Find f (2) for each function. f= {(2, 6), (4, 2)} f (x) = – x2 f (2) = – 22 f (2) = – 4 Solution: f (2) = 6 Slide 7.4- 7

  8. CLASSROOM EXAMPLE 5 Finding Function Values from a Graph Solution: Refer to the graph of the function. Find f (2). Find f (−2). For what value of x is f (x) = 0? f (2) = 1 f (−2) = 3 f (4) = 0 Slide 7.4- 8

  9. Use function notation. Slide 7.4- 9

  10. CLASSROOM EXAMPLE 6 Writing Equations Using Function Notation Rewrite the equation using function notation f (x). Then find f (1) and f (a). x2 – 4y = 3 Step 1Solve for y. Solution: Slide 7.4- 10

  11. CLASSROOM EXAMPLE 6 Writing Equations Using Function Notation (cont’d) Solution: Find f (1) and f (a). Step 2Replace y with f (x). Slide 7.4- 11

  12. Objective 2 Graph linear and constant functions. Slide 7.4- 12

  13. Graph linear and constant functions. Slide 7.4- 13

  14. CLASSROOM EXAMPLE 7 Graphing Linear and Constant Functions Graph the function. Give the domain and range. f (x) = −1.5 Solution: Domain: (−∞, ∞) Range: {−1.5} Slide 7.4- 14

More Related