The graph of f(t) is given in the figure. Represent f(t) using a combination of Heaviside step functions. Use h(t – a) for the Heaviside function shifted a units horizontally. f(t) = help (formulas) 2. 3 4 t Graph of y = f(t) Hint: First, find a formula for f(t) as a piecewise defined function: if 0

Use the graph of f to evaluate the following: f(x) 5 3 2 5 The average rate of change of f from 2 to 3 :

Match each graph to one of the following functions. Select the function for each graph from the given options. 3 4 Y 1 2 v JU 1. f(x) = ²³2 3 f(x) = (2-³2)² 3. f(x) = -2-2 3 41(2) = -√²2)

Starting with the graph of f(x) = 9, write the equation of the graph that results from a. shifting f(x) 6 units downward. y = b. reflecting f(x) about the y-axis. Y = c. shifting f(x) 3 units right. Y =