Topic
Q:
\[ f(x)=3-3^{x+1} \]
Parent Function:
Transformations:
Q:
Se designarmos por \( [3 ; 4] \) o intervalo fechado, em
IR, de extremidades 3 e 4 , é correto escrever:
Selecione uma opção:
a. \( \quad\{3,4\} \cup[3 ; 4]= \) ir
b. \( \quad\{3,4\} \subset[3 ; 4] \)
c. \( \quad\{3,4\}=[3 ; 4] \)
d. \( \quad\{3,4\} \in[3 ; 4] \)
Q:
Given the function: \( h(x)=-\frac{2}{x-2}+2 \).
\( 5.1 \quad \) Write down the equations of the asymptotes of \( h \).
\( 5.2 \quad \) Draw the graph of \( h \). Clearly show all asymptotes and intercepts with the axes.
\( 5.3 \quad \) Determine the equation of the axis of symmetry of \( h \) with \( m<0 \).
Q:
Using Descartes' Rule of signs, how many positive real zeros sh
\[ f(x)=-x^{3}+2 x^{2}-4 x+1 \text { ? } \]
\( \begin{array}{ll}\text { a. } 3 & \text { c. } 2 \\ \text { b. } 3 \text { or } 1 & \text { d. } 2 \text { or } 0\end{array} \)
Q:
Example 4:
You are interested in two second-hand gaming consoles. The first console's price is
given by the function \( f(t)=600(0.75)^{t} \), and the second console's price is given
by \( g(t)=800(0.6)^{t} \), where \( t \) represents the time in years. Your budget
constraints require you to choose the more affordable option within the next 2
years.
Which statement below best represents the outcome?
- You buy the first console.
- You buy the second console.
Q:
Example 4:
You are interested in two second-hand gaming consoles. The first console's price is
given by the function \( f(t)=600(0.75)^{t} \), and the second console's price is given
by \( g(t)=800(0.6)^{t} \), where \( t \) represents the time in years. Your budget
constraints require you to choose the more affordable option within the next 2
years.
Which statement below best represents the outcome?
- You buy the first console.
- You buy the second console.
- Both consoles cost the same amount.
Q:
\( 153^{\circ}=\square \) radians
Q:
21. If a pane of glass absorbs \( 10 \% \) of the light passing through it, then the
percent \( P \) of light that passes through \( n \) successive panes is given by the
approximation \( P(n)=100 e^{-1 / n} \). How many panes of glass are required to block at
least \( 60 \% \) of the light?
Q:
20. Salt decomposes in water according to the law of uninhibited decay. If the
initial amount of salt is 40 kg , and after 8 hours 27 kg of salt is left, how much of
the salt will be left after one day?
Q:
13. If \( \log _{c} 3 \approx 2.311 \), approximate \( \log _{c} 81 \)
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