## Algebra 1

Published by Prentice Hall

# Chapter 9 - Quadratic Functions and Equations - 9-1 Quadratic Graphs and Their Properties - Practice and Problem-Solving Exercises - Page 540: 49

#### Answer

a) Please see the graph. b) [0, 11.6189] is the domain c) [0,135] is the range. d) 4.2426 feet #### Work Step by Step

a) The graph was made using graphing software. b) $y=135-x^2$ $0 = 135-x^2$ $x^2= 135-x^2+x^2$ $x^2 = 135$ $\sqrt {x^2} = \sqrt {135}$ $x = 11.6189, -11.6189$ We cannot have a negative sidelength, so $x=11.6189$. (We cannot have a negative area, so the maximum value for $x$ was 11.6189.) c) The range of the function is the possible y-values. Since there cannot be a negative area, the lowest value for the range is 0. d) $117 = 135-x^2$ $117-117+x^2 = 135-x^2-117+x^2$ $x^2 = 18$ $\sqrt {x^2} = \sqrt {18}$ $x = 4.2426, -4.2426$ We cannot have a negative sidelength, so $x=4.2426$.

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