Tema
Q:
Representa quaficamente a funcaio:
a) \( f(x)=|3 x+1|+2 \)
Q:
Let \( f(x)=\frac{3 x^{2}+11 x+6}{2 x^{2}+9 x+10} \)
This function has:
1) \( A y \) intercept at the point
2) \( x \) intercepts at the point(s)
3) Vertical asymptotes at \( x=\square \)
4) Horizontal asymptote at \( y=\square \)
Q:
Let \( f(x)=\frac{3 x^{2}-14 x-5}{3 x^{2}-7 x-6} \)
This function has:
1) Vertical asymptotes at \( x=\square \)
2) Horizontal asymptote at \( y=\square \)
Q:
Let \( f(x)=\frac{3 x^{2}-14 x-5}{3 x^{2}-7 x-6} \)
This function has:
1) Vertical asymptotes at \( x=\square \)
2) Horizontal asymptote at \( y=\square \)
Enter your asnwers as a list separated by commas.
Q:
Use the Leading Coefficient Test to determine the end behavior of the graph of the given polynomial function.
\( f(x)=6 x^{5}+7 x^{2}-x+5 \)
A. The graph of \( f(x) \) rises to the left and rises to the right
B. The graph of \( f(x) \) falls to the left and falls to the right.
C. The graph of \( f(x) \) rises to the left and falls to the right.
D. The graph of \( f(x) \) falls to the left and rises to the right
Q:
According to the investment management firm, a person with a moderate investment strategy and \( n \) years to
retirement should have accumulated savings of \( a_{n} \) percent of his or her annual salary. The geometric sequence
defined by \( a_{n}=1271(0.919)^{n} \) gives the appropriate percent for each year \( n \).
(a) Find \( a_{1} \) and \( r \). Round \( a_{1} \) to the nearest whole number.
(b) Find and interpret the terms \( a_{10} \) and \( a_{20} \). Round to the nearest whole number.
(a) \( a_{1} \approx \square \) (Round to the nearest whole number as needed.)
Q:
Let \( f(x)=\frac{2 x^{2}+5 x-12}{4 x^{2}-6 x+2} \)
This function has: 1) A \( y \) intercept at the point (0,-6)
2) \( x \) intercepts at the point(s) \( \left(\frac{3}{2}, 0\right)(-4,0) \)
3) Vertical asymptotes of
left vertical asymptote first)
4) Horizontal asymptote of
Q:
Let \( f(x)=\frac{2 x^{2}+5 x-12}{4 x^{2}-6 x+2} \)
This function has: 1) A \( y \) intercept at the point
2) \( x \) intercepts at the point(s)
3) Vertical asymptotes of
left vertical asymptote first)
4) Horizontal asymptote of
Q:
19. Convert the following equations from polar to rectangular form.
\( \begin{array}{lll}\text { a. } 2 \sin (\theta)+3 \cos (\theta)=\mathrm{r} & \text { b. } r=3 \csc (\theta) & \text { c. } r^{2} \sin (2 \theta)=2\end{array} \)
Q:
Graph the function.
Use the graph of \( f(x)=e^{x} \)
to obtain the graph of
\( g(x)=e^{x-4}+2 \)
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