Consider the following graph: Jun A vertical asymptote appears to occur where? Find the equation of the tangent line to the curve g(x)=6 at the point (9-3). Show a complete algebraic solution. Consider the following function, f(x): 2+1 f(x) = x + 1 I x+5 x < 1 1 x < 4 x 24 Determine if f(x) is continuous. Show all of your work. If the function is discontinuous, state the x-value(s) of the discontinuity(-ies); you do not have to find the y value. secharelly, no. Find the slope of the tangent to the parabola f(x) = x-3x + 12 at the point whose a-coordinate is a. At what point on the parabola is the tangent line parallel to the line y = 5x2? n=a. 7. (5 marks) The displacement, in meters, of a particle moving in a straight line is given by s(t)=4-3t+ 2t2, where t is measured in seconds. y (a) What is the average velocity for 2 < t