Precalculus
posted by Melinda .
Verify these answers please.
1. Which of the following functions would f(x) = log(base 10)x horizontally 4 units to the left?
a) f(x)=log(base10)(x4)
b) f(x)=4Log(base10)X
c) f(x)=log(base10) x+4
Answer: C

2. State the transformations, in proper order, that are needed to turn f(x) = 8log(base10)x+6 into f(x)=4log(base10)x+1
a) reflection about the xaxis, vertical compression by a factor of 1/2, vertical translation 5 units down.
b) reflection about the yaxis, vertical stretch by a factor of 2, vertical translation 5 units up.
c) vertical translation 5 units down, vertical compression by a factor of 1/2, reflection about the xaxis.
d) Reflection about the xaxis, vertical translation 5 units down, vertical compression by a factor of 1/2.
Answer: A

3. Which of the values in general logarithmic function f(x)=alog(base10)(k(xd)) + c should be multiplied by 1 in order to cause a reflection in the yaxis?
a) a
b) k
c) d
d) c
Answer A.

4. Which of the following functions results if f(x) log(base 10)x is vertically stretched by a factor of 4, horizontally stretched by a factor of 3, reflected in the yaxis, horizontally translated 5 units to the right and vertically translated 2 units up?
a) f(x)= 4log(base10) [1/3(x5)] + 2
b) f(x)= 4log(base10) [1/3(x5)] + 2
c) f(x)= 4log(base10) [3(x5)] + 2
d)f(x)= 4log(base10) [1/3(x5)] + 2
Answer: A

5. Which is the first transformation that should be applied the graph of f(x) = log(base10)x to the graph f(x)=4log(base10)(x5) + 3?
a) vertical stretch by a factor of 4
b) horizontal translation 5 units to the right
c) vertical translation 3 units up
d)vertical compression by a factor of 4
Answer:A

6. A certain radioactive isotope has a half life of 5 years. If a sample has 120 grams of radioactive material, what equation could be used to determine the amount of material remaining (y) after x years.
a) y=120 x (1/2)^5x
b) y=60^5x
c) y=120x5^(1/2)^x
d) y=1/2x120^5x
Answer: A

7. State the law of logarithms used to rewrite log(base 5)32  log(base 5)8 as log(base 5)4.
a) difference of law of log
b) product law of log
c) power law
d) quotient law
Answer: D

8. Which of the following log equations is undefined?
a) log(base x)10=100
b) log(base x)  10=100
c) log(base10)100=x
d) log(base10)100=10^x
ANswer: A

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