Topic
Q:
Two laptops are available for purchase. The cost of the silver laptop can be
modeled with the function \( f(t)=3,000(0.85)^{t} \), and the cost of the black
laptop can be modeled with the function \( g(t)=3,500(0.7)^{t} \), where \( t \) is the tim
in years. Your parents will help you buy the less expensive laptop, but you must
choose within the next 2 years.
Which statement below best represents the outcome?
- You buy the silver laptop.
- You buy the black laptop.
- Both laptops cost the same amount.
Q:
Example 1:
You are considering two used phones for purchase. The cost of the first phone can
be modeled with the function \( f(t)=1,500(0.8)^{t} \), and the cost of the second
phone can be modeled with the function \( g(t)=2,000(0.6)^{t} \), where \( t \) is the time
in years. Your budget is limited, and you plan to buy the less expensive phone in
the next 3 years.
Which statement below best represents the outcome?
- You buy the first phone.
- You buy the second phone.
- Both phones cost the same amount.
Q:
19. Under ideal conditions, a population of rabbits has an exponential growth
rate of \( 11.7 \% \) per day. Consider an initial population of 100 rabbits. How long
before we have 500?
Q:
7. The number of pages in the IRS Tax Code has followed the function
\( T(n)=400(1.055)^{n} \), where \( n \) is the number of years since 1913. Based on this,
predict the number of pages in the tax code in 2015 .
Q:
63-68 - Encuentre el dominio de la función.
.63. \( f(x)=\log _{10}(x+3) \)
65. \( g(x)=\log _{3}\left(x^{2}-1\right) \)
67. \( h(x)=\ln x+\ln (2-x) \)
Q:
53-62 - Grafique la función, no al localizar puntos sino empezando
de las gráficas de las Figuras 4 y 9. Exprese el dominio, rango y
asintota.
59. \( y=1-\log _{10} x \)
Q:
\( \left(x+\frac{\pi}{4}\right)-\cos x=0 \) em \( [-\pi, \pi[ \)
Q:
53-62 : Grafique la función, no al localizar puntos sino empezando
de las gráficas de las Figuras 4 y 9 . Exprese el dominio, rango \( y \)
asíntota.
.53. \( f(x)=\log _{2}(x-4) \)
.55. \( g(x)=\log _{5}(-x) \)
.57. \( y=2+\log _{3} x \)
59. \( y=1-\log _{10} x \)
61. \( y=|\ln x| \)
Q:
The domain is all real numbers, and the range is \( y \leq 0 \).
The domain is \( x>0 \), and the range is all real numbers.
The domain and range are all real numbers.
The domain is \( x<0 \), and the range is \( y>0 \).
Q:
Dado el conjunto \( S=\{x \in R|\log | x-1 \mid<1\} * \)
Determine \( S \cap([0,2] \cup[12,20]) \)
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