Cálculo
Límites, derivadas, optimización y comportamiento de funciones.
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evaluate $y = e^x + 1$ for the following values of $x$. round to the ne…
The correct graph is the second one (the middle graph, which shows an increasing exponential curve passing near $(0,2)$, rising steeply for positive $x$, and approaching the x-axi…
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evaluate $y = e^x + 1$ for the following values of $x$. round to the ne…
$x=-2, y \approx 1.135$ $x=1, y \approx 3.718$ $x=2, y \approx 8.389$
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fill in the blank in the sentence below. based on the section \animals …
C. feel and express.
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15. a) graph the function $f(x) = 3(x - 1)^2 - 4$. b) what does $f(-1)$…
### Part a) Graphing \( f(x) = 3(x - 1)^2 - 4 \) This is a quadratic function in vertex form \( f(x) = a(x - h)^2 + k \), where: - Vertex: \( (h, k) = (1, -4) \) - Since \( a = 3 …
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solve the equation 2.03x = 31.1 ( x = 15.3198 ( round to four decimal p…
The correct solution for \(x\) (assuming the equation is \(2.03x^2 = 15.23\) or a similar correction) is \(x\approx2.7391\) (rounded to four decimal places). If we follow the step…
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solve the equation. $2.01e^t = 31.1$ $t = \\square$ (round to four deci…
\(t\approx2.7490\)
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5 which expression is equivalent to \\(sqrt4{xy} cdot sqrt4{2x}\\) wher…
A. \(\sqrt[4]{2x^{2}y}\)
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10. the graph at the right shows $f(x) = 2(x - 3)^2 - 1$. a) evaluate $…
For part (a), \( f(-2)=49 \) ### Part (b)
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we have learned that 60% of the general population’s purchases are due …
A specific example: Last year, a brand advertised a limited-edition sneaker as a "never-to-be-restocked" item, with social media posts showing peers posting about their purchases.…
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modeling real life the amount y (in dollars) of money in your savings a…
To graph the linear equation \( y = 12.5x + 100 \), we can use the slope - intercept form of a linear equation \( y=mx + b \), where \( m \) is the slope and \( b \) is the y - in…
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open-ended question take a look at the next one. try it on your own and…
To find \( f(-3) \), we need the definition of the function \( f(x) \). Since the function's equation or graph (which is partially visible) isn't fully provided, we can't calculat…
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what is the primary purpose of the constitutional amendment process? to…
To provide a mechanism for changing the Constitution
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solve the following system of equations graphically on the set of axes …
The solution is \((-4, 4)\)
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y ≥ -5x - 4
To graph \( y \geq -5x - 4 \): 1. Plot the y - intercept at \( (0, - 4) \) and use the slope \( - 5 \) to find another point (e.g., \( (-1, 1) \)). 2. Draw a solid line through th…
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evaluate the following functions. you get unlimited reattempts. $f(x) =…
\(-300\)
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evaluate the following functions you get unlimited reattempts. $f(x) = …
\(-54\)
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evaluate the following functions. you get unlimited reattempts. $f(x) =…
\( 77 \)
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evaluate the following functions. you get unlimited reattempts. $f(x) =…
\(-67\)
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find the slope between the given points 8. (-4, -1) and (-2, -5)
$-2$
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which functions are symmetric about the y - axis? check all of the boxe…
Check the boxes for the **first graph (top)** and **third graph (bottom)**.
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graph this line: y - 2 = -4(x - 1) click to select points on the graph.…
To graph the line \(y - 2=-4(x - 1)\): 1. Plot the point \((1,2)\) (from the point - slope form \(y - y_1=m(x - x_1)\) where \(x_1 = 1,y_1=2\)). 2. Use the slope \(m=-4\) (rise/ru…
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graph the system of equations. y = 2x + 2 y = x
To graph the system: - For \( y = 2x+2 \): Plot the points \( (0,2) \), \( (1,4) \), \( (-1,0) \) and draw a straight line through them. - For \( y = x \): Plot the points \( (0,0…
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question a quadratic function ( f(x) ) is hidden from view. you must fi…
$(-1, 5)$
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736,560 ÷ \\boxed{} = 736.56
\( 1000 \)
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you need to create a legal structure for your small business. you would…
D. S - Corporation
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select form to find quadratic feature question a quadratic function f(x…
The maximum value of $f(x)$ is $3$, and the most efficient form to use is Vertex Form.
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select form to find quadratic feature score: 0/3 penalty: none question…
$(1, \infty)$
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problem 8 determine the quotient of $33.8 \\div 32.5$.
\(1.04\)
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which of the following is a characteristic of an unstructured interview…
C. Common in small businesses
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use long division to calculate the quotient. use the sketch tool or pap…
\(249.75\)
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use long division to calculate the quotient. use the sketch tool or pap…
\(352\)
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solve (8.5)·(-3)=a. a = (lesson 5-15)
\(-25.5\)
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evaluating piecewise functions algebraically. $f(x) = \\begin{cases} -\…
$2f(-4)=10$ $3f(0)=3$ $f(3)=3$ $f(1)$ is undefined (not in any domain interval)
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current skill $ multiply: \\frac{1}{5} * 3 provide an answer as a simpl…
$\frac{3}{5}$
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a car is traveling at a speed of either 55 miles per hour or 35 miles p…
The car spends $\frac{45}{22}$ hours (approximately 2.05 hours) traveling at 55 miles per hour.
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worksheet solving systems of equations by graphing name date solve each…
s: 1. Intersection: \( \boldsymbol{(1, -1)} \) 2. Intersection: \( \boldsymbol{(3, -4)} \) 3. Intersection: \( \boldsymbol{(3, -2)} \) 4. Intersection: \( \boldsymbol{(-1, -3)} \)
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question graph the equation shown below by transforming the graph of th…
The graph of $y=-\sqrt{x}$ is the reflection of $y=\sqrt{x}$ over the x-axis, passing through the points $(0,0)$, $(1,-1)$, $(4,-2)$, $(9,-3)$ with a smooth curve extending to the…
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the graphs of functions f and g are shown. function g is defined as $g(…
2
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type the correct answer in each box. use numerals instead of words. con…
$h(0) = 10$ $h(4) = 16$
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select the correct answer. which function has an asymptote at x = 5 and…
A. $f(x) = \log(x - 5)$
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you might need: calculator what is the slope of the line?
\(-2\)
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atch each transformation of function f to a feature of the transformed …
$j(x) = f(x + 2)$ → y-intercept at $(0, 2)$ $m(x) = -f(x)$ → function decreases as x increases $h(x) = f(x) + 2$ → asymptote of $y = 2$ $g(x) = 2f(x)$ → y-intercept at $(0, 4)$
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write a function in any form that would match the graph shown below.
\(y =-\frac{5}{6}(x + 6)^2(x + 1)\) (or an equivalent form like \(y=-\frac{5}{6}x^{3}-\frac{65}{6}x^{2}-40x - 30\))
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select the correct answer. what is the y-intercept of $f(x) = 3^{x + 2}…
B. (0,9)
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what is the y-intercept of function g if $g(x) = -4f(x) + 12$? a. $(0,8…
A. $(0, 8)$
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which statements describe key features of function f?range of {y| 0 < y…
- range of $\{y|0 < y < \infty\}$ - y-intercept at $(0, 1)$ - horizontal asymptote of $y = 0$
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a. $f(x) = \\begin{cases} -5, & x \\leq -2 \\\\ x^2 + 5, & -2 < x < 1 \…
B. $f(x) = \begin{cases} 5, & x \leq -2 \\ x^2 - 5, & -2 < x < 1 \\ 2^{(x-2)} - 3, & x \geq 1 \end{cases}$
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select the correct answer. consider function ( f(x) = \begin{cases} 2^x…
B. As $x$ approaches positive infinity, $f(x)$ approaches positive infinity.
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post test: exponential and logarithmic functions which inequality repre…
B. $x \geq -1$
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you might need: calculator what is the slope of the line?
\(-1\)
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select the correct answer. what is the solution to this equation? $8(e)…
B. $x = \frac{\ln(0.5) - 1}{2}$
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select the correct answer. what is the approximate value of this logari…
B. 1.80
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select the correct answer. over which interval of the domain is functio…
B. The function is increasing only.
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select the correct answer. what is the value of \\( g(-4) \\)? \\( g(x)…
D. 1
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select the correct answer. what is the equation of the asymptote for th…
A. $x = 0$
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which is a feature of function g if $g(x) = -f(x - 4)$? a. $y$-intercep…
D. x-intercept at $(5, 0)$
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transformation of function f with a feature of the transformed function…
# Explanation: ## Step1: Analyze $j(x)=f(x+3)$ transformation The graph of $f(x)$ shifts left 3 units. - The original function $f(x)$ has a vertical asymptote at $x=-2$ (from the …
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match each transformation of function f with a feature of the transform…
$h(x) = 3f(x) - 3$ $\boldsymbol{\longrightarrow}$ vertex at $(2, 0)$ $j(x) = f(x + 3)$ $\boldsymbol{\longrightarrow}$ domain of $(-2, \infty)$ $g(x) = -f(x - 3)$ $\boldsymbol{\lon…
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over what interval of the domain is function f positive? a. \\((2, \\in…
B. $(3, \infty)$
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the asymptote of the function is \\(\\boldsymbol{x = 2}\\)\\(\\boldsymb…
The asymptote of the function is $\boldsymbol{x=3}$. For very high x-values, $\boldsymbol{y \text{ approaches positive infinity (increases without bound)}}$
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graph w\ graph x\ graph y\ graph z\ complete this statement given th\\(…
The graph of function \(g\) is graph **Y** because the graph of function \(g\) is the result of a **reflection across the x-axis** applied to function \(f\).
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select all the correct answers. consider the parent function $f(x)=e^x$…
- y-intercept - range - horizontal asymptote - end behavior
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to produce g, function f was reflected over the x - axis and shifted up…
$g(x) = -f(x) + 5$
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to produce g, function f was reflected over the x - axis and shifted up…
First dropdown: shifted up 5 units Second dropdown: $g(x) = -2^x + 5$
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select all the correct answers. which expressions are equivalent to \\b…
- $\boldsymbol{\log 10}$ - $\boldsymbol{1}$
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select the correct answer from each drop - down menu. for all positive …
For all positive values of $x$, the value of $\log_x x$ is always $\boldsymbol{1}$, and the value of $\log_x 1$ is always $\boldsymbol{0}$.
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if ( f(x)=sqrt{x} ), which equation describes the graphed function? a. …
C. \( y = - f(x)-3 \)
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the parent function $f(x) = x^3$ is represented by graph a. graph a is …
Graph B: \( \boldsymbol{x^3 - 2} \) Graph C: \( \boldsymbol{2x^3+2} \) (Note: The answer is based on the analysis of vertical shifts and stretches for the cubic function transform…
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the parent function $f(x) = x^3$ is represented by graph a. graph a is …
Graph B: \( g(x) = (x - 1)^3 - 2 \) Graph C: \( h(x) = 2x^3 \)
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type the correct answer in each box. use numerals instead of words. wha…
The first box is \( 4 \), the second box is \( 3 \), and the third box is \( 0 \). So \( f^{-1}(x)=\boldsymbol{4}x^{2}-\boldsymbol{3} \), for \( x\leq\boldsymbol{0} \)
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select the correct answer. consider these functions: $f(x) = 4x^3 - 10$…
D. 31
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select the correct answer. which function is the inverse of $f(x) = -x^…
B. \( f^{-1}(x) = \sqrt[3]{-x - 9} \)
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select the correct answer. consider these functions: f(x) = x + 1, g(x)…
C. \(\frac{2}{x} + 1\)
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f(x) = -8x⁵ + 4x³ + 5x a. function f is both even and odd. b. function …
D. Function \( f \) is odd.
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select the correct answer. consider functions f and g. f(x) = 3√x + 1 c…
C. 1
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select the correct answer. each statement describes a transformation of…
D. It is the graph of \( f \) translated 3 units up and 7 units to the right.
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select the correct answer. which function has a domain of all real numb…
D. \( y = (2x)^{\frac{1}{3}}-7 \)
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part 1: key background information directions: use the reading to fill …
s: 1. judicial 2. John Adams; Judiciary 3. fifteen 4. Senate; Thomas Jefferson
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an object was launched off the top of a building. the function $f(x) = …
$f(-1) = 0$, meaning that -1 seconds after the object was launched, the object was 0 feet above the ground. This interpretation is not meaningful in the context of the problem. $f…
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question 6 of 20 (1 point) | question attempt: 1 of unlimited incorrect…
1. Draw a dashed line through points $(0, 3)$ and $(2, 0)$ (representing $y = -\frac{3}{2}x + 3$). 2. Shade the area above this dashed line.
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an object was dropped off the top of a building. the function $f(x) = -…
$f(-2) = 0$, meaning that $-2$ seconds after the object was dropped, the object was $0$ feet above the ground. This interpretation is not valid in the context of the problem. $f(0…
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(int_{0}^{8} \frac{dx}{sqrt{1 + x}})
\( 4 \)
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evaluate the function graphically. find ( f(1) )
\(-5\)
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the graph of $y = f(x)$ is shown below. find all values of $x$ where $f…
$x=0$ and $x=4$
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the graph of $y = f(x)$ is shown below. find all values of $x$ where $f…
$x=0$ and $x=4$
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select the correct answer. which statement describes the graph of the f…
B. The graph has an oblique asymptote.
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select the correct answer from each drop - down menu the graph of g(x) …
the same horizontal asymptote as function g and a vertical asymptote at x = -7
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select the correct answer from each drop - down menu. the graph of g(x)…
the same horizontal asymptote as function g
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the graph of function f is shown. which statement correctly describes t…
D. Function $g$ has the same horizontal asymptote as $f$ and a vertical asymptote at $x = 5$
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consider the graph of rational function f. which equation represents fu…
C. $f(x) = \frac{4x - 8}{x^2 + x - 6}$
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question 2 the birth of gangsta rap according to the documentary, who w…
Roger Clayton and Uncle Jamm's Army
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use the drawing tools to form the correct answers on the graph. draw th…
Vertical asymptote: $x=-1$ (vertical line through $x=-1$) Horizontal asymptote: $y=2$ (horizontal line through $y=2$)
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felipe owes $520 on his credit card, which has a credit limit of $1550.…
(a) $\$1030$ (b) $\$980$ (c) Credit card, Debit card
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drag the intervals to the correct location on the image. each interval …
Domain: $\boldsymbol{(-\infty, 4) \cup (4, 5) \cup (5, \infty)}$ Range: $\boldsymbol{(-\infty, -3) \cup (-3, -2) \cup (-2, \infty)}$
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the graph of $f(x) = \\frac{1}{x}$ has been transformed to create the g…
- $\boldsymbol{-\frac{1}{3}}$ (corresponding to the last option)
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to shift the function left by 3 units, add 3 to the independent variabl…
Function $h$ is a transformation of function $f$, which is stretched vertically by a factor of $\boldsymbol{3}$ and **shifted right by 2 units**
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graphing rational functions: tutorial the denominator of function g is …
A. $g(x) = \frac{3}{x+3} + 4$
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question 1 consider the rational function $f(x)=\\frac{3}{x + 1}$. part…
- There is a vertical asymptote at $x = -1$. - The range is $(-\infty, 0) \cup (0, \infty)$.
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stephanie coontz states that understanding the concept of \situated soc…
Only the first two provided answers are correct - This concept would allow people to understand how men and women have unequal access to resources, power, and social status. - Thi…
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activity in this activity, you will analyze transformations of the pare…
- There is a vertical asymptote at $x = -1$. - The range is $(-\infty, 0) \cup (0, \infty)$.