SWBAT: Use function notation to evaluate and interpret functions. Use function notation to solve and graph functions. Do Now: a) Evaluate f ( x) = −4x + 7 when x = 2 and x = −2. b) Let f( t) be the outside temperature (°F) t hours after 6 a.m. Explain the meaning of each statement. f ( 0) = 58 f ( 6) = n f ( 3) < f ( 9) SWBAT: Use function notation to evaluate and interpret functions. Use function notation to solve and graph functions. Using Function Notation to Solve and Graph 1) For h( x ) 2 x 5 , find the value of x f or which h(x) = −7. 3 1 3 2) For g( x ) x 2 , find the value of x f or which g (x) = −4. SWBAT: Use function notation to evaluate and interpret functions. Use function notation to solve and graph functions. Graphing a Linear Function in Function Notation 1) Sketch the graph of the function using the given the table of values. T he domain is all real numbers. () = 2 + 5 x -2 2x + 5 y (x, f(x)) -1 0 1 2 a) Looking at the table how can you determine if the function is linear? b) What is the slope (constant rate of change) for this function? c) Where is the slope reflected in the equation f( x) = 2x + 5? d) Where does the graph intersect the y- axis? e) Where is this reflected in the equation f( x) = 2x + 5? f) Is this function increasing or decreasing? g) Plot the point (3, 7) on the same set of axes. (Do not connect it with your graph.) Is the point (3, 7) on the line? Why or why not? h) If the chart was continued to x =3, what would the value of y be? How do you know? SWBAT: Use function notation to evaluate and interpret functions. Use function notation to solve and graph functions. 2) Sketch the graph of the ( ) = −2 + 1 The domain is all real numbers. −2 + 1 x -2 -1 0 1 2 f(x) (x, f(x)) a) What type of function is this table? b) What is the slope of this line? c) Where is the slope reflected in the equation ( ) = −2 + 1? d) Where does the graph intersect the y- axis? e) Where is this reflected in the equation ( ) = −2 + 1? f) Is this function increasing or decreasing? SWBAT: Use function notation to evaluate and interpret functions. Use function notation to solve and graph functions. 3) Sketch the graph of the ( ) = 3 − The domain is all real numbers. 3− x -2 -1 0 1 2 f(x) (x, f(x)) g) What type of function is this table? h) What is the slope of this line? i) Where is the slope reflected in the equation ( ) = 3 − j) Where does the graph intersect the y- axis? k) Where is this reflected in the equation ( ) = 3 − ? l) Is this function increasing or decreasing? SWBAT: Use function notation to evaluate and interpret functions. Use function notation to solve and graph functions. LESSON PRACTICE #4, 6, #11 (this is a really good question, please take your time with this and make sure you understand what they are asking) #14, 16, 18, 19, 20, 21, SWBAT: Use function notation to evaluate and interpret functions. Use function notation to solve and graph functions. LESSON PRACTICE ANSWER KEY! #4, 6, #11 (this is a really good question, please take your time with this and make sure you understand what they are asking) #14, 16, 18, 19, 20, 21, SWBAT: Use function notation to evaluate and interpret functions. Use function notation to solve and graph functions.
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