Page 794 - Algebra 1

Application: Horizon
The distance d (in kilometers) that Meliza can see on a clear day to the horizon from a height of h meters is approximately d = √1 5 h. Find the distance she can see from a height of 2160 meters.
SOLUTION
Example
5
Evaluate d = √1 5 h for h = 2160 m.
d = √15(2160)
= √3 2 40 0 = 180
180 km is the distance she can see from a height of 2160 m.
a. Graph y = 3√ x + 1 using a table. (Ex 1)
Determine the domain of each of the following functions.
(Ex 2)
b. f(x) = √ _x c. f(x) = √ x - 2
3
Describe the transformations applied to the parent function to form the given function.
Lesson Practice
d.
(Ex 3)
f.
(Ex 4)
h.
f(x) = √x - 2 f(x) = -√ x + 3

e. f(x) = √ x - 2 (Ex 3)
g. f(x) = √-x - 4
(Ex 4)
Physics An acorn fell from a tree limb. The function t = 0.45√x
(Ex 5)
x meters to the ground. Estimate how long it would take the acorn to fall
represents how many seconds it takes something to fall from a height of if the limb were 8 meters above the ground.
Practice
Distributed and Integrated
Solve.
1. ⎢z+5 +11=10
(74)
(114) A √ 2 B √ 7 C 2√ 2 - 1 D no solution
*6. Oceanography A good approximation of the speed of a wave in deep ocean water (114) is given by the equation y = √ 10 d. In this equation, y is the wave’s speed in meters
per second and d is the ocean’s depth in meters. What is the speed of a wave if the depth is 400 meters? Round to the nearest whole number.
*8. Analyze Explain how to graph f(x) = √ x - 2 + 3 in terms of its parent function. (114)
3.24x=32x2 (98)
(99) x + 1 x 10x *5. Multiple Choice Evaluate the equation y = √ x + 6 - 1 for x = 2.
*7. Analyze Given the function f(x) = - 1, for what values of x will f(x) be (114) greater than 5? Show your work. 3
2. 10x2 =70x
___ 4. 5 -2= 5
(98)
√ 4x _
Lesson 114 779