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Give the range of the rational functions given that neither of the graphs crosses its horizontal asymptote. Write your answers in set notation and interval notation.

Tobias Ali 2021-06-27

Graph the rational functions. Include the graphs and equations of the asymptotes and dominant terms. $y = \frac{1}{2 x + 4}$

Tammy Todd 2021-06-26

Solve the polynomial inequality graphically.
$2 x^{3} - 5 x^{2} + 3 x < 0$

alesterp 2021-06-26

Solve $\frac{2 x - 4}{3} = \frac{4 x - 2}{5}$

Harlen Pritchard 2021-06-26

Modeling situations as functions is common. Describe whether each description represents a function. Explain. a. The input is a day of the year. The output is the average temperature in Barcelona on that day. b. The input is speed of a car. The output is the time it takes for a car moving constantly at that speed to travel 100 miles. c. The input is a positive number. The output is a number whose absolute value is the input. d. The input is a year. The output is the population of the United States during that year.

Brittney Lord 2021-06-25

For the following exercises, use the given information about the polynomial graph to write the equation. Degree 5. Double zero at $x = 1$ , and triple zero at $x = 3$ . Passes through the point (2, 15).

Yasmin 2021-06-24

Explain how you determine the best polynomial function to use when modeling data.

Chardonnay Felix 2021-06-24

The following question consider the Gompertz equation, a modification for logistic growth, which is often used for modeling cancer growth, specifically the number of tumor cells. Assume that for a population K=1000 and α=0.05.. Draw the directional field associated with this differential equation and draw a few solutions. What is the behavior of the population?

UkusakazaL 2021-06-23

Determine whether each function is an example of exponential growth or decay. Then, find the y-intercept. $y = 25 / 7 (7 / 5)^{x}$

OlmekinjP 2021-06-23

Examine whether the series $\sum_{1}^{\infty} = (\log n)^{\log n}$ is convergent.

$n = 2$

amanf 2021-06-23

The populations P (in thousands) of Luxembourg for the years 1999 through 2013 are shown in the table, where t represents the year, with $t = 9$ corresponding to 1999.

$\begin{array}{lc} Year & Population, P \\ 1999 & 427.4 \\ 2000 & 433.6 \\ 2001 & 439.0 \\ 2002 & 444.1 \\ 2003 & 448.3 \\ 2004 & 455.0 \\ 2005 & 461.2 \\ 2006 & 469.1 \\ 2007 & 476.2 \\ 2008 & 483.8 \\ 2009 & 493.5 \\ 2010 & 502.1 \\ 2011 & 511.8 \\ 2012 & 524.9 \\ 2013 & 537.0 \end{array}$

(a) Use the regression feature of a graphing utility to find a linear model for the data and to identify the coefficient of determination. Plot the model and the data in the same viewing window. (b) Use the regression feature of the graphing utility to find a power model for the data and to identify the coefficient of determination. Plot the model and the data in the same viewing window. (c) Use the regression feature of the graphing utility to find an exponential model for the data and to identify the coefficient of determination. Plot the model and the data in the same viewing window. (d) Use the regression feature of the graphing utility to find a logarithmic model for the data and to identify the coefficient of determination. Plot the model and the data in the same viewing window. (e) Which model is the best fit for the data? Explain. (f) Use each model to predict the populations of Luxembourg for the years 2014 through 2018. (g) Which model is the best choice for predicting the future population of Luxembourg? Explain. (h) Were your choices of models the same for parts (e) and (g)? If not, explain why your choices were different.

Chaya Galloway 2021-06-23

This ideal gas law states that the volume of an enclosed gas at a fixed temperature varies inversely as the pressure.
Which power functions are also rational functions?

Isa Trevino 2021-06-23

Choose the correct term to complete each sentence. Limits of polynomial and rational functions can be found by _____, so long as the denominator of the rational function evaluated at c is not 0.

Ava-May Nelson 2021-06-23

Graph the rational functions. $y = \frac{x^{2}}{x + 1}$

Cabiolab 2021-06-22

Find the multiplier for the rate of exponential growth or decay. 0.4% growth _______

iohanetc 2021-06-22

Determine whether a linear, quadratic, or exponential function best models the data. Then, use regression to find the function that models the data.

$\begin{array}{cc} x & 0 & 1 & 2 & 3 & 4 \\ y & 100 & 89.5 & 78.9 & 68.4 & 57.8 \end{array}$

abondantQ 2021-06-22

Explain how to determine whether an exponential model of the form $y = C e^{k} t$ models growth or decay.

Burhan Hopper 2021-06-22

Describe mathematical modeling in you r own words.

Suman Cole 2021-06-22

use long division to determine if $2 x - 1$ is a factor of $p (x) = 6 x^{3} + 7 x^{2} - x - 2$

hexacordoK 2021-06-22

Simplify: $x^{4} \times x^{2}$

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