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3.3 Function Notation

3.3 Function Notation. How can you use function notation to represent a function? Students will be able to use function notation to evaluate and interpret functions. Students will be able to use function notation to solve and graph functions.

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3.3 Function Notation

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  1. 3.3 Function Notation How can you use function notation to represent a function? Students will be able to use function notation to evaluate and interpret functions. Students will be able to use function notation to solve and graph functions.

  2. Students will be able to use function notation to evaluate and interpret functions. • You know that a linear function can be written in the form . By naming a linear function f, you can also write the function using function notation. • this is function notation • The notation is another name for y. Remember • Remember x is the input and is the output. • You can use letters other than f to name a function, such as g or h.

  3. Students will be able to use function notation to evaluate and interpret functions. Evaluate when and . When , When ,

  4. You try!! Students will be able to use function notation to evaluate and interpret functions. Evaluate when . When , When , When ,

  5. You try!! Students will be able to use function notation to evaluate and interpret functions. Evaluate when . 1

  6. Students will be able to use function notation to evaluate and interpret functions. Let be the outside temperature hours after 6 A.M. Explain the meaning of each statement. The initial value of the function is 58. So, the temperature at 6 A.M.is . The output of hwhen is n. So, the temperature at noon (6 hours after 6 A.M.) is . The output of hwhen is less than the output of h when . So, the temperature at 9 A.M. (3 hours after 6 A.M.) is less then the temperature at 3 P.M. (9 hours after 6 A.M.)

  7. You Try!! Students will be able to use function notation to evaluate and interpret functions. Let be the outside temperature hours after 9 A.M. Explain the meaning of each statement. The output of gwhen is 75. So, the temperature at 1 P.M.(4 hours after 9 A.M.) is . The output of gwhen is 70. So, the temperature hours after 9 A.M. is . The output of g when equals the output of g when . So, the temperature at 11 A.M. (2 hours after 9 A.M.) equals the temperature at 6 P.M. (9 hours after 9 A.M.)

  8. 2. Students will be able to use function notation to solve and graph functions. For , find the value of x for which . When , .

  9. You Try!! 2. Students will be able to use function notation to solve and graph functions. For , find the value of x for which . When , .

  10. 2. Students will be able to use function notation to solve and graphfunctions. Graph . Make an input-output table to find ordered pairs. We call these numbers the fab five: -2, -1, 0, 1, 2 Plot the ordered pairs. Draw a line through the points.

  11. You Try!! 2. Students will be able to use function notation to solve and graphfunctions. Graph . Make an input-output table to find ordered pairs. We call these numbers the fab five: -2, -1, 0, 1, 2 Plot the ordered pairs. Draw a line through the points.

  12. So let’s review! What have we covered so far? Students will be able to use function notation to evaluate and interpret functions. How do we evaluate? Find when Plug it in! Plug it in! How do we interpret? , t is hours and is miles What does the value of the function mean? After 5 hours we have traveled 300 miles.

  13. So let’s review! What have we covered so far? Continued Students will be able to use function notation to solve and graph functions. How do we solve? Find x when if Set the equation equal to the value and solve for the variable. How do we graph? Plug in the fab five and plot on a graph

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