Ch al l en g e
- Firefighting When firefighters are trying to put out a fire, the rate at which they
can spray water on the fire depends on the nozzle pressure. You can find the
flow rate/in gallons per minute using the function / = 120 Vp, where p is the
nozzle pressure in pounds per square inch.
a. Graph the function.
b. What nozzle pressure gives a flow rate of 800 gal/min? - Error Analysis A student graphed the function y = Vx — 2 at the
right. What mistake did the student make? Draw the correct graph. - Think About a Plan The velocity v in meters per second of a
2,000,000-kg rocket is given by the function v = V B, where E is
the rocket's kinetic energy in megajoules (MJ). When the rocket’s
kinetic energy is 8,000,000 MJ, what is its velocity?
- How can you use a graph to solve the problem?
- How can you check your answer?
Make a table of values and graph each function.- y = Vx - 2.5 45. /(x) = 4 V x
- y=V0J5x 48. y = Vx - 2 + 3
- y = V2x + 3 51. y = V2x+6+ 1
46. y = Vx + 6
49. /(x) = V x + 2 - 4
52. y = V3x - 3 - 2 - The graph of x = y2 is show n at th e right.
a. Is this th e graph of a function?
b. How does x = y2 relate to th e square root function y = Vx?
c. Reasoning W hat is a function for th e p a rt of th e graph th a t is show n in
Q uadrant IV? Explain. - Reasoning W ithout graphing, d eterm in e w hich graph rises m ore steeply,
y = V 3 x or y = 3 V x. Explain your answer.
Graph each function by translating the graph of y = Vx.- y = Vx + 4 —1 56. y= Vx+ 1 + 5
- y = Vx - 3 - 2 58. y = Vx - 6 + 3
- y = Vx + 2.5—1 60. y= Vx - 4.5 + 1.5
61. a. Graph y = V j? + 5.
b. W rite a function for th e graph you drew th a t does n o t require a radical.- In p arts (a)-(d), graph each function.
a. y = V ix
b. y = V5x
c. y = V 6 x
d. y = V —6x
e. Reasoning D escribe how th e graph of y = V n x changes as th e value of
n v a r ie s.
c
Po w erAlg eb ra.com [ L e s s o n 1 0 - 5 Grap h in g Sq u are Ro o t Funct io ns 643