Page 60 - Math Course 1 (Book 2)
P. 60

Relations as a Function





                                                            B. Find the value h(2z).
                      Let’s Begin
                                                            h(2z) = 160(2z) + 16(2z) 2  Replace t with 2z.
                                                                      = 320z + 64z 2  Multiply.

        Function Values

                                                               Answer        h(2z) = 320z + 64z       2
           Examples



         A. If f (x) = 3x – 4, f nd f (4).
         f (4) = 3(4) – 4       Replace x  with 4.          Your Turn!
                 = 12 – 4       Multiply.                  Function Values
                 = 8            Subtract.
                                                            A. If f(x) = 2x + 5, f nd f(3).

             Answer               f (4) = 8                 A. 8
                                                            B. 7
                                                            C. 6
                                                            D. 11
         B. If f(x) = 3x – 4, f nd f(–5).
         f(–5) = 3(–5) – 4      Replace x  with –5.
                                                               Answer
                   = –15 – 4    Multiply.
                   = –19        Subtract.

                                                            B. If f (x) = 2x + 5, f nd f (–8).
             Answer             f(–5) = –19
                                                            A. –3
                                                            B. –11
                                                            C. 21
                                                            D. –16
        Nonlinear Function Values

            Example                                            Answer


                                                           Nonlinear Function Values
         PHYSICS
                                    2
         The function h(t ) = 160t + 16t  represents the    The function h(t) = 180 – 16t  represents the height
                                                                                     2
         height of an object ejected downward from an       of a ball thrown from a cliff that is 180 feet above
         airplane at a rate of 160 feet per second.         the ground. Find the value h(3z).

         A. Find the value h(3).
                                                                       2
                                                            A. 180 – 16z  ft
         h(3) = 160(3) + 16(3) 2  Replace t with 3.         B. 180 ft
                                                            C. 36 ft
                 = 480 + 144    Multiply.
                                                                        2
                                                            D. 180 – 144z  ft
                 = 624          Simplify.

            Answer              h(3) = 624
                                                               Answer








     52
   55   56   57   58   59   60   61   62   63   64   65