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Warm-Up Exercises

1. 4. Evaluate for 5 , 2 , and 5. 15. –. 3 x. –. 5 y. 2 x. –. 7. x. =. =. –. –. ANSWER. ANSWER. 17 , 3 , 3. Find two ordered pairs on each line. (. ). 5 , 13. 2. +. ANSWER. (. ) ,. (. ). –. 5 , 0. 0 , 3. 3. ANSWER. (. (. ) ,. ) ,.

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Warm-Up Exercises

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  1. 1. 4. Evaluatefor 5, 2,and 5. 15 – 3x – 5y 2x – 7 x = = – – ANSWER ANSWER 17, 3, 3 Find two ordered pairs on each line. ( ) 5, 13 2. + ANSWER ( ), ( ) – 5, 0 0, 3 3. ANSWER ( ( ), ), 0, 7 0, 3 ( ) 5, 7 y y 7 2x 3 = = Warm-Up Exercises

  2. Vocabulary Linear Functions and Function Notation An equation represents a linear function if it 1) contains no exponent higher than 1. 2) has no variables in the denominators of fractions. 3) has no variables under radicals.

  3. Vocabulary Linear Functions and Function Notation Function notation is a way to identify functions. The notationis read “f of x” and signals that the expression is a function in which x is the independent variable. is another name for y.

  4. Example 1 x a. x2 + 2x + 1 f x b. g x = = ( ) ( ) c. ( ) – h x 4 = x + 1 Identify a Linear Function Tell whether the function is linear. Explain.

  5. Checkpoint – 4x 1. 1 = 9 3. = x h x f x – 5 x3 g x 2. ( ( ) ) = ( ) x 4. r x = ( ) 9 Identify a Linear Function Tell whether the function is linear. Explain.

  6. Evaluate the function whenx 2. – = a. b. x2 ( ) ( ) – x x 7 + 2x f g 10 + = = – 3x Example 2 Evaluate a Function

  7. Checkpoint Evaluate the function when x3. = 5. ( ) – x 1 f 4x = 6. 2x2 ( ) – x + g 5 = 7. ( ) x 3x 8 p x2 + + = Evaluate a Function

  8. Graph – 1. f 2x = ( ) x Example 3 Graph a Linear Function

  9. Example 4 Write and Use a Linear Function FitnessClubs You are joining a fitness club that charges a one-time membership fee of $60 and a monthly fee of $50. a. Write a function that models your total membership cost. b. Graph your function from part (a). c. Use your function model to find the cost of membership for the first year.

  10. Example 4 Write and Use a Linear Function b. Graph your function from part (a). c. Use your function model to find the cost of membership for the first year.

  11. Checkpoint ( ) – x 1 h 4x = Graph a Linear Function Graph the function. 8.

  12. Checkpoint ( ) t 9. t – – p 2 = Graph a Linear Function Graph the function.

  13. Checkpoint 10. ( ) x 5 s – 2x + = Graph a Linear Function Graph the function.

  14. Checkpoint Graph a Linear Function 11. For the club in Example 4, find the cost of membership for the first two years.

  15. Homework Linear Functions and Linear Notation Homework: Page 76 #15-35 odd, 38-42, Page 79 #62-67

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