Answers S1S-OC Pre-Calculus B E3710 - AGPerformance Task: Trigonometric Identities

Performance Task: Trigonometric Identities — Cumulative exam Answers

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Which statement describes the graph of this polynomial function?

The graph crosses the x-axis at x = 2 and x = –1 and touches the x-axis at x = 0.

The graph touches the x-axis at x = 2 and x = –1 and crosses the x-axis at x = 0.

The graph crosses the x-axis at x = –2 and x = 1 and touches the x-axis at x = 0.

The graph touches the x-axis at x = –2 and x = 1 and crosses the x-axis at x = 0.

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Which is the graph of ?

A smooth curve resembling an arctangent function. The x-axis ranges from -6 to 6, and the y-axis from -p to p. The curve approaches horizontal asymptotes at y = p/2 and y = -p/2, passing through the origin.

A graph of a function with asymptotic behavior. The x-axis ranges from -5 to 5, and the y-axis ranges from -p to p. The curve is located in the fourth quadrant, approaching the y-axis asymptotically as x approaches zero from both positive and negative directions. The curve also approaches zero asymptotically as x moves away from zero in both directions. The function does not intersect either axis.

A graph of a function with the x-axis ranging from -2.5 to 2.5 and the y-axis ranging from -p to p. The curve passes through the origin (0,0) and changes direction at y=0. It intersects the x-axis at two points, approximately at x=-1 and x=1. The curve is symmetric about the origin.

The image shows a mathematical graph plotted on a Cartesian coordinate system. The x-axis ranges from -2 to 2, and the y-axis ranges from -p to p. A smooth, continuous curve intersects the x-axis at approximately 1. The curve extends into both the positive and negative quadrants. The point p is labeled on the positive y-axis and -p on the negative y-axis.

The motion of a weight that hangs from a spring is represented by the equation . It models the weight’s height, h, in inches above or below the rest position as a function of time, t, in seconds. Approximately when will the object be 4 inches below the rest position? Round to the nearest hundredth, if necessary.