Chapter 1.2, Problem 12E

Draw a sketch of the square and cube functions. What are the similarities and differences in the graphs?

PRE-ALGEBRA REVIEW 1. Which ordered pair does not belong to the function below? A. (-4,-7) B. (2.-10) C. (12.-15) D. (-8.-3) y = -9. 2 Name: Date: 2.

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7 5. y = -(x-4)(x + 2) Up or down Vertex: Axis of symmetry: Domain: a. X b. Y Range: C. What is the football's maximum height? 6. y= (x + 1)(x + 7) Up or d. How far is the ball kicked? Vertex: down Axis of symmetry: 7. The path of a placekicked football can be modeled by the function y = -0.026x² + 1.196x, where x is the horizontal distance (in yards) and y is the corresponding height (in yards). Sketch a graph of the function. e. State an appropriate domain and range to the situation. X How high is the ball when it is 10 yards from where it was kicked? Domain: Y Range:

The side view of a suspension bridge can be modelled by the equation f(x) = 0.000972 2x² - 1.167x where x is the horizontal distance in metres and f(x) is the depth in metres. a Plot the graph of the function. b Find the coordinates of the points where the graph crosses the x-axis. c Use these values to write down the equation of the axis of symmetry. Use part c to find the y-coordinate of the minimum. d e Describe, in this context, what the minimum point represents.