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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^13

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Exercise 9 Page 422

Use the domain and the range of the function to find the width and depth of the spotlight.

Width: 4 inches
Depth: 2 inches

Practice makes perfect

We will start by determining the domain and range of the function that models the cross section of a spotlight.

We see that the leftmost point on the graph is (- 2,2) and the rightmost point is (2,2). The x-coordinates of these points determine the domain. Domain: - 2 ≤ x ≤ 2 The domain of the function represents the width of the spotlight, so it is 4 inches. 2-( - 2)=4 To find the depth, we will use the range. The lowest point on the graph is (0,0), and the highest points on the graph are (- 2,2) and (2,2). Therefore, the range is 0 ≤ y ≤ 2. Range: 0 ≤ y ≤ 2 The range of the function represents the depth of the spotlight, so it is 2 inches. 2- 0=2

Showing Our Work

Graphing the function

To draw the graph of the function y=0.5x^2, we will make a table of values.

x	0.5(x)^2	y=0.5(x)^2
- 2	0.5( - 2)^2	2
0	0.5( 0)^2	0
2	0.5( 2)^2	2

Let's plot the points ( - 2, 2), ( 0, 0), and ( 2, 2) and draw a smooth curve through them.

Subchapter links

Monitoring Progress p.422