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In the following exercises, use the graph of function
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- Use the position function s(t) = −16t2 + 500, which gives the height (in feet) of an object that has fallen for t seconds from a height of 500 feet. The velocity at time t = a seconds is given by lim s(a) − s(t)/ a − tt→a A construction worker drops a full paint can from a height of 500 feet. When, in seconds, will the paint can hit the ground? At what velocity, in feet per second, will the paint can impact the ground?arrow_forwardfor function : in the picture Please sketch f(x)!arrow_forwardGiven the function f(x)=x²: (a) Carefully, graph the function from x=-1 to x= 2 (use a ruler and make it big enough).arrow_forward
- Use the parent function f (x) = eª: (a) Write a function whose graph has been reflected across the x-axis, shifted 3 units to the right, and is half as tall. (b) Write a function whose graph has been reflected across the y-axis, shifted 4 units to the left, and shifted 7 units up.arrow_forwardFor the function h(x,y): Find the domain and draw its graph.arrow_forwardGraph by hand f(x)= -2tan(x/2) for x between 0 and 2pi. Show a table of values.arrow_forward
- Starting with the graph of f(x)=9x, write the formula for the function that results from: a. shifting f(x) 3 units to the right. b. reflecting f(x) about the x-axis and the y-axis.arrow_forwardEvaluate the function at the given values of the independent variable and simplify : f(x) = x/lxl , a. f(6) b. f(-6) c. f(r2).arrow_forwardUse the graph of y=f(x) shown to the right to graph the following function g.arrow_forward
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