Find each x-value at which f is discontinuous and for each x-value, determine whether fis continuous from the right, or from the left, or neither. *+ 2 if x 1 * = (smaller value) Is f continuous from the right, left, or neither at this value? O continuous from the right O continuous from the left O neither X = (larger value) Is f continuous from the right, left, or neither at this value? O continuous from the right O continuous from the left O neither Sketch the graph of f. y 10/ 10 10/ 10/ 5- 51 5 -10 -5 X 5 10 -10 -5 X 5 10 -10 -5 X 5 10 -10 -5 X 5 10 -5- -5 -5 -5 O -10 -10 -10 -10Consider the following. (If an answer does not exist, enter DNE.) X 2 - x - 12 9(x) = 2 - 25\fIf a rock is thrown upward on the planet Mars with a velocity of 15 m/s, its height above the ground (in meters) after + seconds is given by H = 15t - 1.86#-. (a) Find the velocity (in m/s) of the rock after 1 second. m/s (b) Find the velocity (in m/s) of the rock when t = a. m/= (c) When (in seconds) will the rock hit the surface? (Round your answer to one decimal place.) t = S (d) With what velocity (in m/s) will the rock hit the surface? m/sTrace or copy the graph of the given function f. Sketch the graph of f' on the same coordinate axes.(a) Find the slope of the tangent line to the parabola y = x" + 5x at the point (-1, -4) by using the following parameters. (i) The tangent line to the curve y = ((x) at the point P(a, A(=)) is the line through P with slope m = lim F(x) - F(=) - provided that this limit exists. m = x - a (ii) The expression of slope is m = lim fath) - F(a) + 0 h m = (b) Find an equation of the tangent line in part (a). (c) Graph the parabola and the tangent line. As a check on your work, zoom in toward the point (-1, -4) until the parabola and the tangent line are indistinguishable. 15 10 10 104 15 5 10 -10 Y 5 10 -10 5 5 -10 X 10 -10 -10 -10 X -20 5 O - 10 -20 -5 - 10