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Big Ideas Math Algebra 1 A Bridge to Success

BI

Big Ideas Math Algebra 1 A Bridge to Success View details

1. Graphing f(x) = ax^31

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Exercise 18 Page 423

Use the domain of the function to find the width of the bridge's arch support.

Width: 1000ft
Height: 300ft

Practice makes perfect

We will start by determining the domain and range of the function that models the arch support of a bridge.

We see that the leftmost point on the graph is (- 500,- 300), and the rightmost point is (500,- 300). The x-coordinates of these points determine the domain.

Domain: - 500 ≤ x ≤ 500 The domain of the function represents the width of the arch, so it is 1000ft. 500-( - 500)=1000 To find the height, we will use the range. The highest point on the graph is (0,0), and the lowest points on the graph are (- 500,- 300) and (500,- 300). Therefore, the range is - 300 ≤ y ≤ 0. Range: - 300 ≤ y ≤ 0 The range of the function represents the height of the arch, so it is 300ft. 0-( - 300)=300

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Exercises p.423