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- 7. Determine values of a, b, and c such that the graph of y = ax³ +bx² + c has a local extremum at (2, 11) and a point of inflection at (1, 5).Sketch the graphs of x2 = 4py for p = 1/4, 1/2, 1, 3/2, and 2 on the same coordinate axes. Discuss the change in the graphs as p increases.What is the function of the form y=Asin(kx)+C or y=Acos(kx)+C whos graph matches the graph in the picture
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- Use the following information to sketch the graph of y=f(x) * f is increasing at (-♾, -2] U [0, ♾) f(x) is decreasing at [-2,0]* local minimum is -4 at x= 0 local maximum is 0 at x=-2 * x intercept is (1,0), (-2,0) y intercept is (0,-4) * inflection point is (-1,-2) * f is concave up at (-1,♾) f is concave down at (-♾,-1)sketch graph of y=e^x/x^2-9 showing any asymtotes and any local maxima or minimaIdentify the type of discontinuity at x= - 1/2.a) Essential Jump Discontinuityb) Removable Discontinuity, can be redefine at x=-0.5 c) Removable Discontinuity; cannot be redefine