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§10.5 Graphing Square Root Functions

§10.5 Graphing Square Root Functions. Warm-Ups. Evaluate each expression for the given value of x . 1. x for x = 4 2. x + 7 – 3 for x = 2 3. 3 x + 2 for x = 9. 2. 0. 11. >. >. >. >. >. >. >. –. –. –. –. –. –. –. a. y = x + 5 .

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§10.5 Graphing Square Root Functions

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  1. §10.5 Graphing Square Root Functions

  2. Warm-Ups Evaluate each expression for the given value of x. 1. x for x = 4 2. x + 7 – 3 for x = 2 3. 3 x + 2 for x = 9 2 0 11

  3. > > > > > > > – – – – – – – a.y = x + 5 x + 5 0 Make the radicand 0. x –5 b.y = 6 4x – 12   4x – 12 0 Make the radicand 0. 4x 12 x 3 Example 1: Finding the Domain of a Square Root Function Find the domain of each function. The domain is the set of all numbers greater than or equal to –5. The domain is the set of all numbers greater than or equal to 3.

  4. The size of a television screen is the length of the screen’s diagonal d in inches.The equation d = 2A estimates the length of a diagonal of a television with screen area A. > > – – Graph the function. Domain 2A 0 A 0 Screen Area (sq. in.) Length of Diagonal (in.) 0 0 50 10 100 14.1 200 20 300 24.5 400 28.3 Example 2: Graphing a Square Root Function

  5. Graph y = x + 4 by translating the graph of y = x . For the graph y = x + 4, the graph of y = x is shifted 4 units up. Example 3: Graphing a Vertical Translation

  6. Graph ƒ(x)= x + 3 by translating the graph of y = x . For the graph ƒ(x)= x + 3, the graph of y = x is shifted to the left 3 units. Example 4: Graphing a Horizontal Translation

  7. Pg. 617 34-51 All

  8. Assignment: pg. 642 7-36 Left

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