1 / 10

Representing Functions

Representing Functions. TLW determine whether a relation is a function; find functional values. TEKS: A.4A, A.4C, A.5C. Determine whether the relation {(6, -3), ( 4, 1), (7, -2), (-3, 1)} is a function. Explain.

amber-lopez
Download Presentation

Representing 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. Representing Functions TLW determine whether a relation is a function; find functional values. TEKS: A.4A, A.4C, A.5C

  2. Determine whether the relation {(6, -3), ( 4, 1), (7, -2), (-3, 1)} is a function. Explain. Since each element of the domain is paired with exactly oneelement of the range, this relation isafunction.

  3. Determine whether the relation is a function. Explain. Since the element 2 in the domain is paired with both 5 and 4 in the range, this table doesnot represent afunction.

  4. Determine whether the relation is a function. Explain. y x -4 9 -1 -6 1 11 3 For each element in the domain, there is only one corresponding element in the range. So, this mapping represents a function. **It does not matter if two elements of the domain are paired with the same element in the range.

  5. Now your turn…Are the following relations considered functions? • {(-3, -3), (-3, 4), (-2, 4), (0, 6)} No Yes x y -1 4 0 5 No 1 6 2 7

  6. Use the Vertical Line Test to determine if a graph represents a function. If the vertical line intersects (touches) the graph only once, then the graph does represent a function. If the vertical line intersects (touches) the graph at two or more points, then the graph does not represent a function. • Determine if the following graphs are functions. Explain. If you draw a vertical line through the graph, the vertical line passes through two points. Thus, the graph does not represent a function. If you draw a vertical line through the graph, the vertical line passes through just one point. Thus, the graph does represent a function. If you draw a vertical line through the graph, the vertical line passes through two points at x=1. Thus, the graph does not represent a function.

  7. Now your turn …Are the following graphs considered functions? Yes 3x – y = 6 Yes x = -4 No y = 3 Yes

  8. Equations that are functions can be written in a form called function notation. For example…Equation: y = 3x – 8 Function Notation: f(x) = 3x – 8 or g(x) = 3x – 8 , etc. • If f(x) = 3x – 4, find the value. a.) f(3) b.) f(-2) f(3) = 3(3) – 4 = 9 – 4 = 5 f(-2) = 3(-2) – 4 = -6 – 4 = -10

  9. Once again, your turn…If f(x)=2x – 4 and g(x)=x2 – 4x. Find each value. f(0) = g(-3) = f(3x) = f(½) = g(-4) + 3 = -4 21 6x - 4 -3 35

  10. Real World Problem The cost of sending cell phone pictures is given by y=0.25x, where x is the number of pictures that you send. Write the equation in function notation and then find f(5) and f(12). What do these values represent? f(x) = 0.25x It costs $1.25 to send 5 photos and $3.00 to send 12 photos. f(5) = 1.25 f(12) = 3

More Related