Analysis
Grenzwerte, Ableitungen, Optimierung und Funktionsverhalten.
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find the domain of the function. v (x)=√x +2 write your answer as an in…
\(x\geq0\)
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line equations from point/slope (point slope form) score: 4/5 penalty: …
$y + 5=x - 7$ (or $y+5=(x - 7)$ or in slope - intercept form $y=x - 12$)
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find the domain of the function. f (x)=√(x−4) write your answer as an i…
\( x \geq 4 \)
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3. what is the slope of the line that passes through the points (-3, 4)…
-1
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use the point - slope form to write the equation of a line that passes …
\(y - 10=-\frac{11}{10}(x - 5)\)
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question what is dumping? answer it is a total restriction on an import…
The fourth option (the one with the circle next to "It is selling a product at a price below its cost in a foreign country to drive competitors there out of business.")
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which of the following best describes an embargo? it is a limitation on…
The option that best describes an embargo is the second option: "It is a total restriction on an import or an export." (We assume the options are ordered from right to left as per…
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in the piecewise function below, what does y equal when x = -2? note: p…
-5
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line equations from point/slope (point slope form) question use point -…
\(y + 16=3(x - 7)\) (or if we expand it, \(y=3x-21 - 16=3x - 37\), but the point - slope form is \(y + 16=3(x - 7)\))
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what is the equation of the line that passes through the point (6, 2) a…
The equation of the line is \(y=\frac{1}{3}x\) (or in standard form \(x - 3y = 0\))
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ate the sum of the fractions belo two numbers if you need a model \\(\\…
$1\frac{1}{20}$ (or $\frac{21}{20}$)
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what is the equation of the line that passes through the point (-4, 8) …
\(y=-x + 4\) (or \(x + y=4\) or other equivalent forms)
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what is the equation of the line that passes through the point (-4, 8) …
$y=-x + 4$ (or in standard form $x + y=4$)
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autumn has 5 cups of yogurt to make smoothies. each smoothie uses \\(\\…
15
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zach is standing on a hill 80 feet high. he throws a baseball upward wi…
5 seconds (corresponding to the option "5 seconds")
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use your calculator to find the solutions and the maximum or minimum po…
Min (-2,-1); x is approximately -2.7 x is approximately -1.3
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question 3 1 pts use your calculator to find the solutions and the maxi…
A. (-4,1) Maximum value; x = -5 and x = -3
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question 2 1 pts use your calculator to find the solutions and the maxi…
x = -4, x = -5; Minimum (-4.5, -0.25)
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tallulah plans to repaint some classroom bookcases. all of the bookcase…
$\frac{39}{5}$ (or $7\frac{4}{5}$)
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Question was provided via image upload.
\( 1\frac{7}{8} \) (or \( \frac{15}{8} \))
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what is the slope of the line that passes through the points (4, 8) and…
\(-\frac{1}{2}\)
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find the slope of the line. 4. 7. graph the data. then find and interpr…
- Problem 4: Slope = \( 4 \) - Problem 5: Slope = \( \frac{3}{2} \) - Problem 6: Slope = \( \frac{1}{3} \) - Problem 7: Slope = \( 1 \) - Problem 8: Slope = \( \frac{3}{4} \) (or …
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draw a line representing the ise\ and a line representing the un\ of th…
The slope of the line is \(\frac{1}{2}\).
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solve the system of equations graphed on the coordinate axes below. $y …
The solution to the system is \( (0, 2) \)
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avery is making pizzas for a pizza party. each pizza requires \\(\\frac…
$14\frac{1}{4}$ (or $\frac{57}{4}$)
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draw a line representing the ise\ and a line representing the un\ of th…
The slope of the line is \(5\). (Note: For drawing the rise and run, the "rise" line is a vertical line segment between two points on the line, and the "run" line is a horizontal …
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daniel is making pizzas for a pizza party. each pizza requires \\(\\fra…
$4\frac{4}{5}$ (or $\frac{24}{5}$)
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Question was provided via image upload.
10
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draw a line representing the ise\ and a line representing the un\ of th…
The slope of the line is \(\boldsymbol{2}\). (For drawing the rise and run: from a point on the line, draw a vertical segment for rise (upwards if positive) and a horizontal segme…
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Question was provided via image upload.
11
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write the equation of the line that passes through the points (-6, -9) …
\( y + 9=-4(x + 6) \)
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write the number 10/27 as a repeating decimal. (note: on moodle it is d…
$0.\overline{370}$ (or $0.370370\cdots$ with the phrase "repeating" to indicate the repeating part is 370)
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graph the function and give its domain and range. \\( f(x) = \\sqrt3{x …
A. (the graph corresponding to option A)
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rewrite the following radical function to identify its transformations …
A. The given function is stretched vertically by a factor of 2 from the parent function.
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which function has a graph with domain $x \\geq -1$ and range $y \\geq …
A. $f(x)=\sqrt{x + 1}-2$
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rewrite the function to make it easy to graph using transformations of …
\(y = 5\sqrt{x - 2}-3\)
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rewrite the function to make it easy to graph using transformations of …
The option that best describes the transformation is the one that states "The graph stretches vertically by a factor of 4 and is translated 1 unit to the right" (assuming that the…
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graph the function ( f(x) = sqrt{x + 1} ). choose the correct graph bel…
(Assuming the correct graph is the one that represents \( y = \sqrt{x+1}\) correctly, for example, if the correct option is the one with the curve starting at \( x=-1\) and increa…
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find $f(3) - g(-1).$
# Explanation: ## Step1: Find \( f(3) \) To find \( f(3) \), we look at the graph of \( f(x) \). At \( x = 3 \), we check the value of \( f(x) \). From the graph, the horizontal s…
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suppose that the function graphed below is f(x), the derivative of f(x)…
A. The function \( f(x) \) has a relative minimum at \( x=-8 \) and has a relative maximum at \( x=-4 \).
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for the following function, find (a) the critical numbers, (b) the open…
(a) B. There are no critical numbers. (b) B. There are no intervals where the function is increasing. (c) A. The function is decreasing on the interval(s) \((-\infty, \infty)\).
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for the following function, find (a) the critical numbers, (b) the open…
(a) B. There are no critical numbers. (b) B. There are no intervals where the function is increasing.
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for the following function, find (a) the critical numbers, (b) the open…
B. There are no critical numbers.
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for the function below, find (a) the critical numbers; (b) the open int…
(a) The critical number(s) is/are \(-1, 3\) (matching option A). (b) Increasing on \((-\infty, - 1)\cup(3, \infty)\) (so for part (b), the correct choice is A with interval \((-\i…
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for the function below, find (a) the critical numbers; (b) the open int…
A. The critical number(s) is/are \(-1, 3\)
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for the function f(x) = 2x³ - 3x² + 5x + 3, find f(x). then find f(0) a…
A. \( f''(0) = \boxed{12} \) (Note: Correctly, if it's \( f'''(0) \), else the option is wrong, but following the given option)
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for the function $f(x) = 2x^3 - 3x^2 + 5x + 3$, find $f(x)$. then find …
\( f'''(x)=\boxed{12} \), \( f'''(0)=\boxed{12} \), \( f'''(3)=\boxed{12} \)
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for the function $f(x)=2x^3 - 3x^2 + 5x + 3$, find $f(x)$. then find $f…
\( 12 \)
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for the function $f(x)=2x^3 - 3x^2 + 5x + 3$, find $f(x)$. then find $f…
\( 6x^{2}-6x + 5 \)
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for the cost and price functions below, find a) the number, q, of units…
38
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find the x-values of all points where the function has any relative ext…
B. The function has a relative maximum of \( 31 \) at \( x = -3 \) and a relative minimum of \( -1 \) at \( x = 1 \).
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find the x-values of all points where the function has any relative ext…
B. There are no relative minima. The function has a relative maximum of \(\frac{29}{4}\) (or \(7.25\)) at \(x = -\frac{5}{2}\) (or \(x = -2.5\)).
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determine each feature of the graph of the given function. $f(x) = \\fr…
Horizontal Asymptote: \(y = 0\) Vertical Asymptote: \(x = 0\) x - Intercept: No x - intercept y - Intercept: No y - intercept Hole: \((5,\frac{4}{5})\)
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determine each feature of the graph of the given function. $f(x) = \\fr…
Horizontal Asymptote: No horizontal asymptote Vertical Asymptote: No vertical asymptote x - Intercept: \((-3,0)\) y - Intercept: \((0,-9)\) Hole: \((-4,3)\)
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they buy a set of 48 trading cards. find how many will get if they shar…
18
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which of these statements about brooks’s attitude is best supported by …
C. She believes both confidence and understanding one's limits are important for success
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key idea how do i subtract a fraction from a mixed number with the same…
\(\frac{3}{6}\)
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which sum is equal to $7\\frac{2}{4}$? $6\\frac{3}{4}+\\frac{1}{4}$ $6\…
\(6\frac{3}{4}+\frac{3}{4}\)（即第二个选项：\(6\frac{3}{4}+\frac{3}{4}\)）
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find the sum. write your answer as a mixed number. 8\\frac{4}{6} + \\fr…
\(9\frac{3}{6}\)（或化简为\(9\frac{1}{2}\)，不过根据计算过程，分数部分先得到\(\frac{9}{6}\)，转化为带分数后与整数部分相加，所以正确的混合数形式，先处理的话，\(8\frac{4}{6}+\frac{5}{6}=8+\frac{4 + 5}{6}=8+\frac{9}{6}=8 + 1\frac{3}{6}=9…
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choose the sum that is greater than 9. 8\\frac{2}{6} + \\frac{4}{6} 8\\…
\(8\frac{4}{6}+\frac{5}{6}\)（对应的式子）
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perform the operation and reduce the answer fully. make sure to express…
$\boldsymbol{-\frac{1}{5}}$
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multiply and divide fractions (pos and neg) score: 0/6 penalty: none qu…
\(-\frac{7}{30}\)
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what is the true solution to $2 \\ln 4x = 2 \\ln 8$? \\(\\circ\\) $x = …
\(x = 2\) (corresponding to the option \(x = 2\))
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question 8 of 10 the graph of g(x), shown below, resembles the graph of…
A. \(g(x) = x^4 - x^2 + 0.5\)
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the function $f(x)$ is graphed below. what is true about the graph on t…
The function \( f(x) \) is decreasing on the interval \( (-\infty,a) \) (or as \( x \) increases from \( -\infty \) to \( a \), the value of \( f(x) \) decreases, or the end - beh…
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express the function graphed on the axes below as a piecewise function.…
\(f(x)=\begin{cases}\frac{5}{4}x + 10& \text{for }x\lt - 4\\-x + 8& \text{for }x\gt2\end{cases}\)
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8 find the slope of the line that passes through (10,8) and (1,9). slop…
\(-\frac{1}{9}\)
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find the coordinates for the vertex of the following quadratic function…
\((2,2)\)
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if the rate of inflation averages r% per annum over n years, the amount…
\( 1884.62 \)
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answer the questions below to determine what kind of function is depict…
This function is a linear function because the difference between consecutive \( f(x) \) values (the first - differences) is constant (\( - 6\)).
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question 1 of 10 which equation represents the slope - intercept form o…
D. \( y = -\frac{3}{7}x + 2 \)
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what is the range of this quadratic function? {y|y ≤ 2} {y|y ≤ 6} {y|y …
$\{y|y \leq 6\}$ (corresponding to the option: {y|y ≤ 6})
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is the function $y = -\frac{5}{4}$ linear or nonlinear? linear nonlinear
linear
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use the graph of f(x) = x³ to write an equation for the function repres…
s: (a) \( y = x^3 + 3 \) (b) \( y = - \frac{1}{4}(x + 2)^3 \) (or simplified, but this matches the points)
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find all vertical asymptotes of the following function. $f(x) = \\frac{…
The vertical asymptote is \(x=-2\)
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simplifying fractions score: 3/6 penalty: none question simplify the fo…
\(\frac{1}{9}\)
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a line has a slope of $-\\frac{1}{5}$ and passes through the point $(-5…
$y - 9=-\frac{1}{5}(x+5)$ (or in the boxed form as per the problem's blanks: $y - \boldsymbol{9}=\boldsymbol{-\frac{1}{5}}(x-\boldsymbol{(-5)})$ but since the problem has $x - \sq…
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find all vertical asymptotes of the following function. $f(x) = \\frac{…
No Vertical Asymptotes
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find all horizontal asymptotes of the following function. $f(x) = \\fra…
\(y = 0\)
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simplify the radical \\(\\sqrt3{192}\\):
\(4\sqrt[3]{3}\)
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question find all vertical asymptotes of the following function. $f(x) …
Two Vertical Asymptotes
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decimal operations #1 add, subtract, multiply, or divide to solve each …
\( 16.6 \) ### Problem 2: \( 6.2 + 5.94 \)
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find the slope and the y-intercept of the line. y = x + 3 slope: y-inte…
slope: $1$ y - intercept: $3$
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parent results not recorded. continue practising or switch user. comple…
20
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how can i add \\(\\frac{1}{4}\\) and \\(\\frac{1}{2}\\)? think about th…
1. yes 2. 4 3. $\frac{3}{4}$
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calculator the function $f(x) = 1200(1.055)^x$ models the balance of an…
The average rate of change between years 21 and 25 is about 3 times the rate between years 1 and 5.
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5) $f(x) = -x^3 + 4x^2 - 5$ a) graph b) graph c) graph d) graph options…
D
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simplifying fractions score: 1/6 penalty: none question simplify the fo…
\(\frac{8}{35}\)
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paulo kicks a soccer ball into the air with an initial upward velocity …
It takes 2 second(s) for the ball to reach the maximum height. The maximum height of the ball is 68 feet.
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answer attempt 1 out of 3 $f(x) = \\begin{cases} \\hphantom{\\text{for}…
\( f(x)=\begin{cases}-x, & -5<x<2\\3x - 11, & 2<x\leq5\end{cases}\)
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a tennis ball is hit at an initial upward velocity of 64 feet per secon…
4.5 feet
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answer attempt 1 out of 3 $f(x) = \\begin{cases} \\square \\text{ for }…
The piece - wise function is \(f(x)=\begin{cases}x + 2, & x\leq4\\-\frac{1}{2}x+6, & x>4\end{cases}\)
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express the function graphed on the axes below as a piecewise function.…
\[ f(x)=\begin{cases} 6x & \text{for } x\leq1\\ x + 4 & \text{for } x>4 \end{cases} \]
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identify the following bank account. this account offers a good interes…
c. Money market account
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answer attempt 1 out of 3 $f(x) = \\begin{cases} \\square \\text{ for }…
\(f(x)=\begin{cases}6x + 12& \text{for }x < - 1\\-x + 9& \text{for }x>2\end{cases}\)
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solve. write your answer in simplest form using integers, fractions, an…
\(\ln(41)\)
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solve. write your answer in simplest form using integers, fractions, an…
$\frac{\ln(85)}{2\ln(6)}$
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express the function graphed on the axes below as a piecewise function.…
\( f(x)=\begin{cases}\frac{5}{4}x + 10, & x\lt - 4\\-x + 8, & x\gt2\end{cases} \)
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solve. write your answer in simplest form using integers, fractions, an…
\( \ln(91) \)
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answer attempt 1 out of 3 $f(x) = \\begin{cases} \\hphantom{\ ule{1.5em…
\(f(x)=\begin{cases}-x - 4 & \text{for } x\leq1\\2x - 19 & \text{for } x>5\end{cases}\)