Section A-9: Graphing
For x∈0,π, graph sinx in black and cosx in red on the same set of axes.
Impose 1-to-1 scaling on the axes, and ensure that the axes are labeled as x and y.
Label the horizontal axis in multiples of π/4 and the vertical axis with just three values (−1,0,1).
Graph the (discontinuous) function fx=2 x+1x<210−3 xx≥2 on the interval 0,4.
Graph the curve defined parametrically by the equations xt=2 t+1, yt=t2−1, for −1≤t≤1.
Graph the curve (an ellipse) defined implicitly by the equation 3 x2+5 y2=7.
Graph x3+2⁢x2−5⁢x−9 on the interval −3,3, and estimate the coordinates of intercepts and extrema graphically.
Create an animation showing how the number and location of the real zeros of the quadratic polynomial x2+b x+3 vary with the parameter b.
Explore how the graph of the quadratic polynomial a x2+b x+c depends on each of the parameters a, b, c.
Graph a polygonal line through the points 1,2,3,7,4,−2.
Graph fx=xx−1, showing both its horizontal and vertical asymptotes.
Graph the vertical line segment between the points 1,2 and 1,5. Graph the vertical line x=3.
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