8.2.2 Radical Functions - Worksheet (continued)
17. The parent function f x
x
( ) =
is reflected across the y -axis, then compressed horizontally by a
factor of 1/2, and finally translated 7 units right.
Example 5: 18. On Earth, the function f x ( )
6 5
x
= approximates the distance in miles to the horizon observed by a person whose eye level is x feet above the ground. The graph of the corresponding function for Mars is a horizontal stretch of f by a factor of about 9/5. Write the corresponding function g for Mars, and use it to estimate the distance to the horizon for an astronaut whose eyes are 6 ft above Mars’s surface.
Example 6: Graph each inequality. 19. y x ≥
20. y x 4 ≤ −
21. y x 3 < −
22. y x 3 >
218
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