9. The graph of the logarithmic function y = log1/2 x can be described as: a. decreasing and opens up b. increasing and opens up d. decreasing and opens down d. increasing and opens down

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Chapter4: Exponential And Logarithmic Functions
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9. The graph of the logarithmic function y = log1/2 x can be described as:
a. decreasing and opens up
b. increasing and opens up
d. decreasing and opens down
d. increasing and opens down
10.Solve log, 8 =
-1/2
а. -16
b -64
с 4
d 1/64
11. A radioactive substance has a half-life of 7 h. If a sample of the substance has an initial mass of
2000, Estimate the instantaneous rate of change in mass 1.5 days later.
а. -5.6/h
b. -56g/h
c. -707g/h
d.-0.845g/h
12. Express 3loga+logb-logc as a single logarithm.
a'b
a) log
b) log (a³ + b - c)
ab
c) 3 log
Заb
d) log
C
13. Determine the equation of the asymptote for the graph of y=2log,(2x+4)-1.
a) x=-1
b) x=-2
c) x =-4
d) x = 4
14. What is the inverse of y=2*
a) y=log, x
b) y=log, 2
с) у-
d) y=x²
15. What is the y-intercept for the graph of the function y = 2 log,6(x+1)–1?
%3D
a) 5
b) 7
c) -1
d) 3
16. The graph of y = log, x has been transformed. It has been reflected in the x axis, horizontally
%D
stretched by a factor of 2 and translated 6 units left. What is its new equation?
a) y=-log, (x+6)
b) y= log,(-2(x+6))
c) y=-log, 2(x+6)
d) y =-log,(x+6)
Transcribed Image Text:9. The graph of the logarithmic function y = log1/2 x can be described as: a. decreasing and opens up b. increasing and opens up d. decreasing and opens down d. increasing and opens down 10.Solve log, 8 = -1/2 а. -16 b -64 с 4 d 1/64 11. A radioactive substance has a half-life of 7 h. If a sample of the substance has an initial mass of 2000, Estimate the instantaneous rate of change in mass 1.5 days later. а. -5.6/h b. -56g/h c. -707g/h d.-0.845g/h 12. Express 3loga+logb-logc as a single logarithm. a'b a) log b) log (a³ + b - c) ab c) 3 log Заb d) log C 13. Determine the equation of the asymptote for the graph of y=2log,(2x+4)-1. a) x=-1 b) x=-2 c) x =-4 d) x = 4 14. What is the inverse of y=2* a) y=log, x b) y=log, 2 с) у- d) y=x² 15. What is the y-intercept for the graph of the function y = 2 log,6(x+1)–1? %3D a) 5 b) 7 c) -1 d) 3 16. The graph of y = log, x has been transformed. It has been reflected in the x axis, horizontally %D stretched by a factor of 2 and translated 6 units left. What is its new equation? a) y=-log, (x+6) b) y= log,(-2(x+6)) c) y=-log, 2(x+6) d) y =-log,(x+6)
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