Tema
Q:
Exercice 11
La courbe ci-dessous représente une fonction \( f \)
1. Lis: \( D_{f} \) et \( f(0) \).
2. Détermine les images directes de \( [0 ; 2] \) et \( [-1 ; 0] \)
3. Détermine l'image réciproque de \( [-1 ; 0] \) par \( f \).
4. Résous \( f(x)=2 ; f(x) \geq 1 \).
Q:
Write the equation in logarithmic form and solve for \( x \). (Round your answer to three decimal places.)
\[ e^{9 x+5}=0.33 \]
\( x= \)
Need Help? Read It Watch It
Q:
Write the equation in logarithmic form and solve for \( x \). (Round your answer to three decimal places.)
\[ e^{9 x+5}=0.33 \]
\( x= \)
Need Help? Read It Watch It
Q:
(2) The range of the function \( f: f(x)=2-\frac{3}{x-1} \) is ...........
\( \begin{array}{llll}\text { (a) } R & \text { (b) } R-\{1\} & \text { (c) } y=1 & \text { (d) } R=\{2\}\end{array} \)
Q:
Graph all vertical and horizontal asymptotes of the rational function.
\[ f(x)=\frac{7}{-2 x+1} \]
Q:
Use the function below to answer the following questions.
\[ y=\log _{3}(x-6) \]
(a) Use transformations of the graph of \( y=\log _{3} x \) to graph the given function.
(b) Write the domain and range in interval notation.
(c) Write an equation of the asymptote.
Q:
Use a formula from Section 7.2 to find the sum, if possible. Enter answer as a fraction or
integer. If not possible, enter "DNE".
\( 1-\frac{2}{5}+\frac{4}{25}-\frac{8}{125} \llbracket \ldots=\square \)
Q:
Use a formula from Section 7.2 to find the sum, if possible. Enter answer as a fraction or
Integer. If not possible, enter "DNE".
\( \frac{3}{2}+3+6+12+\ldots=\square \)
Q:
Use a formula from Section 7,2 to find the sum, if possible. Enter the answer as a fraction or a
sum of fractions. If not possible, enter "DNE".
\( \sum_{n=0}^{7} 8 \cdot\left(\frac{1}{4}\right)^{n}=\square \)
Q:
The population of a country in 2021 was approximately 127 million with an annual growth rate of \( 1.06 \% \). At this rate, the
population \( P(t) \) (in millions) can be approximated by \( P(t)=127(1.0106)^{t} \), where \( t \) is the time in years since 2021 .
Part 1 of 4
(a) Is the graph of \( P \) an increasing or decreasing exponential function?
The graph of \( P \) is an increasing \( \mathbf{\nabla} \) exponential function.
Part: \( 1 / 4 \)
Part 2 of 4
(b) Evaluate \( P(0) \) and interpret its meaning in the context of this problem.
This indicates that the country's population was approximately \( \square \) million in the year
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