1. Graph the function by hand using the techniques you were taught in this unit: f(x) = 25in[x) 2. Your work and explanations must demonstrate that YOU know how to graph this function without using any outside resources. Fill in the following information about the function {2 points each}: u Amplitude: How do you know'? 0 Period: _ How do you know? - Midlina: How do you know? - y-interoopt: How do you know? Graph = 2 pts 2. Graph the function by hand using the techniques you were taught in this unit: f(x) = COS (Ex) + 1 . Your work and explanations must demonstrate that YOU know howr to graph this function without using any outside resources. Fill in the following infom'Iation about the function (2 points each}: - Amplitude: How do you know? 9 Period: How do you know? 0 Midline: How do you know? 0 y-interoept: How do you know? Graph = 2 pts ' 3 - - 1 3. A scientist recorded the movement of a pendulum for 1 5 s. The scientist began recording when the pendulum was at its resting position. The pendulum then moved light {positive displacement} and lett (negative displacement) several times. The pendulum's furthest distance to either side was 7 in. The pendulum took 6 s to swing to the light and the le and then return to its resting position. ta] Write an equation to represent the displacement of the pendulum as a function of time. Show all work and explain howr you determined each parameter in the equation. {4 points) ______________ -. | Work: I I I I I '1\" ' t I 10 I l l e I I a ' t I 7 I I I 6 ' I I 5 I I I 4 ' I I I 3 | 2 I I I 1 I I I I '123453159101112131415 I :'1 I -2 I I Hi ' I I -4 I ' 5 l L _____________ .. .5 {hi Graph the function that -? represents the pendulum's displacement as a function of -5 time. {3 points) _I