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Pre Calculus Questions & Answers

Q:
\( 1 \leftarrow \) Give the equations of any vertical, horizontal, or oblique asymptotes for the graph of the rational function. \[ f(x)=\frac{3-6 x}{5 x+6} \]
Q:
Give the equations of any vertical, horizontal, or oblique asymptotes for the graph of the rational function. \[ f(x)=\frac{4}{x-2} \]
Q:
Describe the end behavior of the graph of the polynomial function. \( f(x)=8 x^{5}+2 x^{3}-3 x+4 \)
Q:
Decide whether \( f \) is even, odd, or neither. \( f(x)=x^{4}-2 x^{2}+6 \)
Q:
Hallar el dominio de la siguiente función: \( f(x)=\frac{1}{\sqrt{x^{3}+2 x^{2}-3 x}} \)
Q:
\[ T=2 \pi \sqrt{\frac{L}{32}} \] How long is a pendulum that takes 35 seconds to complete a full cycle? Spell out the applicable unit.
Q:
In 2015 , the U.S. population was 167 million and was growing at a rate of \( 0.5 \% \) each year. Using an exponential growth model, in what year will the population reach 260 million? Round up to the nearest year.
Q:
Logaritmik funksiyanın \( f(x) = \text{\log}_2(x) \) qrafikini təsvir edin.
Q:
24. The population of a town is growing exponentially. In 2020 , the population was 5,000 . If the population is expected to double every 5 years, what will the population be in 2035 ? A. 10,000 B. 20,000 C. 40,000 D. 80,000
Q:
4) The water depth in a harbor is 21 m at high tide and 11 m at low tide. One cycle is completed every 12 hours. a) Find an equation for the water depth as a function of time starting at high tide. b) Determine the time (s) when the water depth reaches a height of 15 m .

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