微積分
極限、導數、最優化與函數性質。
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a polynomial function has a root of -5 with multiplicity 3, a root of 1…
The graph of the function is negative on \((3, \infty)\) (the third option, assuming the options are labeled as: 1. The graph... on \((-\infty, 1)\); 2. The graph... on \((-5, 3)\…
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a polynomial function has a root of $-4$ with multiplicity $4$, a root …
The top - left graph (the first graph among the four)
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which of the following graphs could be the graph of the function $f(x)=…
The third graph (the one in the bottom - left among the four given graphs)
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identify the domain and range of each function. a. b. a. identify the d…
### Part a: Domain of the Function To determine the domain, we analyze the graph's horizontal extent. The graph spans from \( x = 1 \) (closed dot) to \( x = 3 \) (closed dot), so…
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graphing polynomial functions at which root does the graph of $f(x) = (…
\(-7\)
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graphing polynomial functions at which root does the graph of $f(x) = (…
\(-7\)
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graphing polynomial functions which of the following graphs could be th…
The second graph (the one with roots at \(x=-5\), \(x = 0\), \(x = 5\), opening upwards at the ends, and below the \(x\) - axis between \(-5\) and \(5\) except at \(x = 0\) where …
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recovery graphing polynomial functions at which root does the graph of …
\(-2\)
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which is the graph of $g(x)=\\frac{10}{x}$? (there is an image of a coo…
The graph of \( g(x)=\frac{10}{x} \) is a hyperbola with two branches: one in the first quadrant (where \( x > 0,y>0 \)) and one in the third quadrant (where \( x<0,y < 0 \)), wit…
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which is the best approximate solution of the system of linear equation…
(1.33, 1)
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déterminez la règle de chaque fonction. a) graph of a function with ver…
La règle de la fonction est \( f(x)=\frac{4x + 27}{x + 8} \) (ou \( f(x)=\frac{-5}{x + 8}+4 \))
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20 = 1 + \\frac{1}{2}x
\( x = 38 \)
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solve the following system of equations graphically on the set of axes …
The solution to the system of equations is \( (6, 1) \)
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find the equation of the exponential function represented by the table …
$y=2^x$
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8. solve and graph the solution as an inequality: \\(\\frac{x^2 + x}{x …
The solution to the inequality \(\frac{x^{2}+x}{x - 4}>3\) is \(x>4\), or in interval notation \((4,\infty)\).
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solve the system of equations graphed on the coordinate axes below. $y …
The solution is \( (0, 8) \)
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which statement best describes the long-term impact of roe v. wade on u…
The decision gave women a limited right to choice and remains very controversial.
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the polynomial function $f(x)$ is graphed below. fill in the form below…
The degree of \( f(x) \) is \( \boldsymbol{4} \) and the leading coefficient is \( \boldsymbol{\text{negative}} \). There are \( \boldsymbol{2} \) different real zeros and \( \bol…
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y = -\\frac{3}{2}x + 2
The line passes through points $(0, 2)$ and $(2, -1)$, and extends infinitely in both directions on the coordinate grid.
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y = -x - 5
The line $y=-x-5$ is graphed by plotting the intercepts $(0, -5)$ and $(-5, 0)$ and drawing a straight line through these points.
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assume that the situation can be expressed as a linear cost function. f…
The cost function is \( C(x) = 20x + 200 \)
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number ten y = 1.5^x does the function represent growth or decay? growt…
- Does the function represent growth or decay? Growth - What is the initial amount? 1 - What is the rate of growth or decay? 50% (or 0.5)
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the housing and urban development act of 1965 and the fair housing act …
improving housing and living conditions in cities.
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which interval for the graphed function contains the local minimum?\ \\…
\([-3, -1]\)
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given the function $f(x) = \\begin{cases} x^2 + a & \\text{for } x \\le…
$a=2$
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the table represents a linear function. what is the slope of the functi…
5
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5-7. use the graph of $f(x) = -x^2 + 9$ to sketch the graph of $y = \\f…
Asymptotes: $x=3$, $x=-3$, $y=0$
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which is the initial value that shrinks an exponential growth function …
\(\frac{1}{2}\) (the option corresponding to \(\frac{1}{2}\))
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a line is drawn through (-4, 3) and (4, 3). which describes whether or …
The line does not represent a direct variation because it does not go through the origin. (Third option: The line does not represent a direct variation because it does not go thro…
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a ball is thrown from an initial height of 3 feet with an initial upwar…
$t\approx0.42$ or $t\approx0.89$
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the graph of $f(x) = \\frac{1}{2}(2.5)^x$ and its reflection across the…
all real numbers less than 0
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the graph of $f(x) = \\frac{1}{2}(2.5)^x$ and its reflection across the…
all real numbers less than 0
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solving quadratics with square roots (level 1) score: 2/5 penalty: 1 of…
$x = 2$ and $x = -2$
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solving quadratics with square roots (level 1) score: 2/5 penalty: 1 of…
$x = 2$ and $x = -2$
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wednesday write an equation graph of a line y = 2x + -1 select all true…
\(y = 2x-1\) ### Sub - question 2: Select all true statements about the function (Wednesday - Function A and B)
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the graph shows the relationship between the volume of the water in the…
\( 0.01 \) (or \(\frac{1}{100}\))
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do you understand? 1. jesse has a bottle that contains \\(\\frac{7}{10}…
Yes, Jesse is correct. After subtracting the amount he drank ($\frac{2}{10}$ liter) from the initial amount ($\frac{7}{10}$ liter), we get $\frac{5}{10}$ liter, which simplifies t…
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write the equation of this line in slope-intercept form. write your ans…
$y=\frac{2}{3}x + 4$
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14. -110 + (-1200) = ______
\(-1310\)
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5) what is the equation of this quadratic? graph of a parabola with x-i…
y = 1/2 (x - 2)(x + 6)
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6.2 × 9 ———
55.8
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subtracting fractions works just like adding fractions. in fact, you co…
23, 84
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if \\(\\ln(x) = -0.123\\), what does \\(x\\) equal? express your answer…
0.884
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place each item into an area labeled with its equivalent value. view av…
-2: $\log(0.01)$ -1: $\log(0.1)$ 0: $\log(1)$ 1: $\log(10)$ 2: $\log(100)$
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the functions f and g are defined as follows. $f(x)=2x+2$ $g(x)=-4x^2 -…
$f(-5) = -8$ $g(4) = -67$
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the functions f and g are defined as follows. $f(x)=2x^2 - 3x$ $g(x)=-2…
$f(-5)=65$ $g(4)=-11$
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635 = 600 + 30 + 5 519 = 500 + 10 + 9 subtract the hundreds, the tens, …
First, \(635 - 519 = \boldsymbol{100} + \boldsymbol{20} + \boldsymbol{(-4)}\) (but usually, we use borrowing, so it's \(100 + 10 + 6\)), and the final answer is \(\boldsymbol{116}…
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select the correct answer. which of the following describes how hoover …
They both supported quotas on the number of immigrants who entered the US.
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find 328 - 193. first, finish writing both numbers in expanded form. 32…
\(193=\boxed{100}+\boxed{90}+\boxed{3}\)
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find 951 - 238. first, finish writing both numbers in ex 951 = 900 + 50…
\(238 = \boldsymbol{200} + \boldsymbol{30} + \boldsymbol{8}\)
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3) graph of a line on a coordinate plane 5) graph of a line on a coordi…
\(y = -5x - 1\) ### Problem 5:
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what fraction of \\(\\frac{1}{2}\\) is \\(\\frac{1}{3}\\)? use the grid…
$\frac{2}{3}$
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d 82 × 53 = four - square grid
\(4346\)
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c. 85 × 12 = ____ d. 82 × 53 = ____
\( 1020 \) ### Part d: \( 82 \times 53 \)
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a $f(x)=\frac{18}{5}x + 41$ b $f(x)=\frac{18}{5}x + 184$ c $f(x)=\frac{…
A. \( f(x)=\frac{18}{5}x + 41 \)
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estimate the sum. round each number to the nearest whole number, then a…
\(10\)
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estimate the difference. round each number to the nearest whole number,…
2
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estimate the sum. round each number to the nearest whole number, then a…
6
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ation 2dg x 2dg wo digits by two digits. b. 78 × 58 =
\(4524\)
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ation 2dg x 2dg two digits by two digits. b. 78 × 58 =
\(4524\)
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show that the function $f(x) = 3(x - 5)^2 + 7$ is not one-to-one.
Since \(f(4)=f(6) = 10\) and \(4 eq6\), the function \(f(x)=3(x - 5)^2+7\) is not one - to - one.
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h(x) = \\begin{cases} -3x - 1 & \\text{if } x \\leq 1 \\\\ -5 & \\text{…
The top - left graph (the first graph) is the correct graph for \( h(x)=\begin{cases}-3x - 1, & x\leq1\\-5, & x > 1\end{cases} \)
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8. $-4x + 3y < -9$ $-2x + 2y > -4$
The solution is the region where $y < \frac{4}{3}x - 3$ and $y > x - 2$, represented by the overlapping area below the dashed line $y=\frac{4}{3}x-3$ and above the dashed line $y=…
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solve the following system of inequalities graphically on the set of ax…
The point \( (0,3) \) (other valid points like \( (2,4) \) etc. are also correct as long as they satisfy both inequalities) Point: \( (0, 3) \)
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b. $10^{2} \\times 9 + (12 - 2)^{3} \\div 4$
\(1150\)
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divide. \\(\\frac{2}{9} \\div \\frac{1}{4} = \\square\\)
$\frac{8}{9}$
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x | y -3 | 5 -2 | 2 -1 | -1 0 | -4 1 | -7 what is the slope? options: -…
-3
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divide. \\(\\frac{1}{3} \\div \\frac{2}{5} = \\square\\)
$\frac{5}{6}$
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select the correct choice below and fill in the answer box(es) to compl…
B. $838 \div 66 = 12$ R $46$
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what is the slope? (there is a table with x and y values, but the text …
4
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when $x \\leq 2$, what equation is shown in the graph? $f(x)=|x - 1|$ $…
\( f(x)=|x| \) (the third option: \( f(x)=|x| \))
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the constitution of the state of texas of 1876 the constitution of 1870…
To solve this, we analyze each section for a principle of government (e.g., limited government, popular sovereignty, separation of powers, checks and balances, republicanism, fede…
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divide, \\(\\frac{1}{2} \\div \\frac{5}{6} = \\square\\)
$\frac{3}{5}$
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which of the piecewise functions matches this graph? $f(x)=\\begin{case…
The piecewise function that matches the graph is \( \boldsymbol{f(x) = \begin{cases} x + 5 & \text{if } x < 2 \\ -4 & \text{if } x \geq 2 \end{cases}} \) (the second option in the…
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there is an equal protection violation when there is a question of mora…
the law treats certain classes of people differently from others.
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divide. \\(\\frac{1}{3} \\div \\frac{2}{5} = \\square\\)
$\frac{5}{6}$
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which function is best represented by this graph? options: y = \\frac{2…
$y = \frac{2}{3}x - 1$
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calculate: $\frac{4}{5} + left(-\frac{7}{25} ight) = $
$\frac{11}{25}$
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which function is best represented by this graph? options: $y = -3x - 3…
$y = -3x - 3$
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estimate, and then find the quotient. use your estimate to check for re…
Estimate: 140 A. $424 \div 3 = 141$ R $1$
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a part of function g is graphed on a coordinate plane. which inequaliti…
B. Domain: $-3 \leq x < 1$ Range: $-9 < g(x) \leq -1$
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estimate, and then find the quotient. use your estimate to check for re…
Estimate: 140 A. $424 \div 3 = 141$ R $1$
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10. graph: $y = \\frac{1}{2}x - 3$
The graph of \( y = \frac{1}{2}x-3 \) is a straight line with a y - intercept at \( (0,-3) \) and a slope of \( \frac{1}{2} \), passing through points like \( (2,-2) \) and \( (-2…
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3\\frac{1}{8} + 6\\frac{3}{8} =
\(9\frac{1}{2}\) (or \(\frac{19}{2}\))
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8\\frac{16}{18} + 5\\frac{12}{18} =
\(14\frac{5}{9}\)
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divide. \\(\\frac{2}{9} \\div \\frac{1}{4} = \\square\\)
$\frac{8}{9}$
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4\\frac{4}{6} + 7\\frac{5}{6} =
\(12\frac{1}{2}\) (or \(\frac{25}{2}\))
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which is true about the solution to the system of inequalities shown? y…
There are no solutions. (The option corresponding to "There are no solutions" among the given options)
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write an equation in slope-intercept form from the points (0, 3) and (-…
A. $y = x + 3$
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1/14 - show solution/reason. (5 pts) arwen studies the two functions sh…
The graph of \( g(x) \) is the graph of \( f(x) \) shifted 5 units up. (The corresponding option should be selected, for example, if the option "The graph of \( g(x) \) is the gra…
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5\\frac{2}{3} + 5\\frac{2}{3} =
\( 11\frac{1}{3} \)
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write an equation in slope-intercept form from the points (0, 3) and (-…
A. $y = x + 3$
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part c if \\( \\ln(x) = 3.35 \\), what is the value of \\( x \\)? expre…
$29$
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solving for an exponent logarithmic functions can be used to solve an e…
0.705
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1/14 - show solution/reason. (5 pts) arwen studies the two functions sh…
The graph of \( g(x) \) is the graph of \( f(x) \) shifted 5 units up. (The corresponding option should be selected, for example, if the option "The graph of \( g(x) \) is the gra…
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(8 + 4) + 7 =
19
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calculate the result of the following set of operations: $3 \\times 1 +…
4
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through: (-2, 3) and (0, 2) write the linear equation in y = mx + b for…
C. $y = -1/2x + 2$
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federalists and anti - federalists what was the federalists position on…
B. They thought it was unnecessary because the Constitution would already limit government powers. (Note: Assuming the second option is labeled B; adjust the identifier if the ori…
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36. graph the equation that has a slope of \\(\\frac{1}{2}\\) & y-inter…
The equation of the line is $y=\frac{1}{2}x-3$. To graph it, plot $(0, - 3)$ (y - intercept) and use the slope $\frac{1}{2}$ to find other points (e.g., $(2,-2)$) and draw a strai…