微積分
極限、導関数、最適化、関数挙動。
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question 8 of 10 which of the following exponential equations is equiva…
A. $x = e^{y}$
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complete the square to find the minimum value of f(x) = x² + 4x - 6. en…
\(-10\)
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question 4 of 10 what is the solution to the equation below? round your…
A. $x = 8.17$
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question 3 of 10 what is the solution to the equation below? round your…
D. \(x = 3.86\)
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what is the best estimate for \\(\\sqrt{34}\\) to the nearest whole num…
E. 6
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question 10 of 10 which of the following could be the first step in sol…
B. \(\log4^x = \log17\)
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question 9 of 10 what is the solution to the equation below? round your…
B. \(x \approx 0.51\)
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question 8 of 10 what is the solution to the equation below? round your…
C. \(x = 0.80\)
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question 4 of 10 what is the solution to the equation below? round your…
B. \( x = - 0.36 \)
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what is the solution to the equation below? round your answer to two de…
B. \(x = 2.02\)
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question 1 of 10 what is the solution to the equation below? round your…
B. \( x \approx 2.07 \)
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true or false: if you make 11% commission on $4,110 in sales, you made …
False
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type the correct answer in the box. use numbers instead of words. enter…
-4.25
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question 10 of 10 evaluate the following expression. round your answer …
C. 1.16
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given $g(x) = 2^{x + 1}$, evaluate the following. (a) $g(3)$ (b) $g(1)$…
(a) \( 9 \) (b) \( 3 \) (c) \( \frac{5}{4} \) (or \( 1.25 \))
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evaluate the following expression. you should do this problem without a…
A. 1
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question 7 of 10 evaluate the following expression. round your answer t…
B. 0.56
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what is the value of the expression? $-\frac{1}{4}(-5.2 cdot 1.5)$ a. $…
D. 1.95
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question 4 of 10 evaluate the following expression. you should do this …
B. 6
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question 3 of 10 evaluate the following expression. round your answer t…
B. 2.10
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question 7 of 10 which expressions are equivalent to the one below? che…
C. 5, D. $5 \cdot \ln e$
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find the critical values of f(x) = x³ - x on 0,2
The critical value (x - value) of \( f(x)=x^3 - x \) on the interval \([0,2]\) is \( x=\frac{\sqrt{3}}{3} \) (and also, wait, no, wait, maybe the user meant \( f(x)=x^3 - x \), an…
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given the function below, fill in the table of values and use the table…
For \( x = -3 \), the value of \( y \) is \(-4\). (And the complete table values are: when \( x=-3, y=-4 \); \( x=-2, y=-3 \); \( x=-1, y=-2 \); \( x=0, y=-1 \); \( x=1, y=0 \); \…
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question 6 (5 points) for this problem, use the given bound to determin…
Since all the numbers in the last row of the synthetic division (excluding the remainder) are non - negative, \(k = 3\) is an upper bound for the roots of \(f(x)=2x^{3}+10x^{2}-12…
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question 4 (5 points) what is the vertical asymptote? show all work for…
The vertical asymptote is \(x = - 4\)
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judicial review to strike down an unconstitutional law. at the time, so…
1. "It’s good that judicial review checks, or limits, the power of the other branches of government": Supports judicial review (select the circle under "Supports judicial review")…
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what is the fundamental problem that economics seeks to address? limite…
A. Limited resources and unlimited wants
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why does it not cherish its wise minority? why does it cry and resist b…
C. you have to disobey laws in order to create change.
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question 1 (1 point) solve $x = \\log_{2}\\left(\\frac{1}{8}\ ight)$ by…
b) -3
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true or false: $63.1281 rounded to the nearest dime is $63.10. true fal…
False
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question 14 (1 point) saved the function $f(x) = 4^x$ has a y-intercept…
b) - 1 ### Question 15
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if you get paid $0.89 for every belt and make 312 belts, how much will …
\$277.68
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question 10 of 10 which answer represents the domain of the logarithmic…
C. \( x > 0 \)
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ma-cs-math 3 topic 4a exam fall 2025 answer form directions: use 50 pen…
\(6a^{6}b^{4}\sqrt{3ab}\) ### Question 14
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the range of $f(x) = \\log_b x$ is the set of all positive real numbers…
B. False
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for what values of b will f(x) = \\log_b x be a decreasing function? a.…
A. \( 0 < b < 1 \)
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felipe deposited $4000 into an account with 5.4% interest, compounded a…
$\$5203.11$
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the function $f(x) = \\log_{0.5} x$ is increasing. a. true b. false
B. False
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question 13 (1 point) the function $y = \\log - (x - 5) + 3$ is a) tran…
b) reflected in the x - axis
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question 6 of 10 the function ( f(x) = log_{5} x ) is decreasing. a. tr…
B. False
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matching list match the event from the era of world war i and the roari…
- new and growing industries related to automobiles: a. economic - more opportunities for women outside of traditional roles: b. social - laws limiting speech and behaviors: c. po…
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a) 10 b) 7 c) 5 d) 4 question 12 (1 point) the x-intercept of the funct…
c) -2
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question 11 (1 point) evaluate $ln e^5 + ln e^3 + ln e^2$. a) 10 b) 7 c…
a) 10 ### Question 12
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question 4 of 10 which facts are true for the graph of the function bel…
B. The range is all real numbers, C. The domain is \( x>0 \), E. It is decreasing, F. The \( x \)-intercept is \( (1, 0) \)
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graph the function. (a graphing calculator is recommended. select the c…
The top - left graph (the first graph in the top - left corner)
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a carpenter uses \\(\frac{1}{4}\\) of a wooden dowel rod to make each c…
C. \(3\frac{3}{5}\)
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question 8 (1 point) which of the following functions would translate h…
d) \( f(x)=\log_{10}(x + 4) \)
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question 6 (1 point) evaluate $\\log 0.00001$. \\bigcirc a) $-5$ \\bigc…
a) -5
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which function is the inverse of $f(x) = b^x$? a. $f^{-1}(y) = \\log_b …
A. \( F^{-1}(y)=\log_{b}y \)
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state the transformations, in proper order, that are needed to turn f(x…
a) reflection about the \( x \)-axis, vertical compression by a factor of \( \frac{1}{2} \), vertical translation 5 units down.
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question 3 (1 point) the function $y = 5^x$ passes through the point. a…
c) \((1, 5)\) ### Question 4 (Assuming the expression is \( e^{2\ln 5} \), as there might be a typo)
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a logarithmic function is the same as an exponential function. a. true …
B. False
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question 3 of 10 which logarithmic equation is equivalent to the expone…
D. \(\ln 60 = a\)
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question 2 of 10 which logarithmic equation is equivalent to the expone…
A. \(\ln 87.18 = a\)
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draw the graph of f(x) = 6^{x} - 1
To draw the graph of \( f(x)=6^{x}-1 \): 1. Draw the horizontal asymptote \( y = -1 \). 2. Plot points like \( (0, 0) \), \( (1, 5) \), \( (-1, -\frac{5}{6}) \). 3. Draw a smooth …
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the range of f(x) = 5·2^x is all positive real numbers. a. true b. false
A. True
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the graph below could be the graph of which exponential function? a. $f…
A. \( F(x)=3\cdot(1.2)^x \)
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which best describes the asymptote of an exponential function of the fo…
D. Horizontal asymptote at \( y = 0 \)
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rmine the domain of the following graph:
The domain of the graph is \([-1,8]\)
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question 5 of 10 the range of the function given below is the set of al…
A. True
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in general, the y-intercept of the function $f(x) = a \\cdot b^x$ is th…
B. \((0, a)\)
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graph this function: y = |x| click to plot the vertex first. (graph wit…
The vertex of the function \( y = |x| \) is at \( (0, 0) \), and the graph is a V - shaped graph opening upwards with points like \( (1, 1) \), \( (-1, 1) \), \( (2, 2) \), \( (-2…
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the graph below could be the graph of which exponential function? a. $f…
B. \( F(x) = 2\cdot(0.7)^x \)
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for the function $f(x) = 8x^5 - 7$, find $f^{-1}(x)$. answer \\( f^{-1}…
\( f^{-1}(x) = \sqrt[5]{\frac{x + 7}{8}} \) (the fourth option)
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what are the appropriate titles for each column in the chart shown here…
Left Column: Aztec Right Column: Inca (Note: If the dropdowns have options like "Aztec" and "Inca", these would be the appropriate selections. The analysis is based on historical …
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question 1-18 the equal opportunity in education act: limited the educa…
C. prohibited discrimination based on gender
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question 3. given the function f(x) = -3x + 12, find the x values when …
B. \( x > 4 \)
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question 1-18 the equal opportunity in education act: limited the educa…
prohibited discrimination based on gender
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question 2. a competitive diver dives from a platform into the water. t…
B. The diver hits the water at 1.6 seconds.
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how much would $500 invested at 5% interest compounded continuously be …
A. $745.88$
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the function g is defined by $g(x) = -3x - 42$. when graphed in the $xy…
C. 3
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question for the function $f(x) = \\frac{(x - 9)^{\\frac{1}{3}}}{5}$, f…
\( f^{-1}(x)=(5x)^{3}+9 \) (the fourth option)
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graph the function. f(x) = \\sqrt{x + 4} plot four points on the graph …
The four points are \((-4,0)\), \((-3,1)\), \((0,2)\), \((5,3)\) (you can plot these points on the given graph to graph the function \(f(x)=\sqrt{x + 4}\))
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use your calculator to evaluate $e^{-2}$. round your answer to three de…
D. 0.135
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14) \\(\frac{log 6}{3}\\)
Si se simplifica la expresión: $\log \sqrt[3]{6}$ (o aproximadamente $0.2594$ si se calcula el valor numérico)
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which factor most significantly affects the fairness and accuracy of el…
B. Voter access to polling and registration resources
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rounded to three decimal places, the value of the irrational number e i…
C. 2.718
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4. \\(\\frac{x}{3} + 6 = 10\\)\ \ 3. linear functions\ 1. write the equ…
\(x = 12\)
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question 10 of 10 use the function below to find f(2). f(x) = (1/3) • 4…
D. \(\frac{16}{3}\)
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an exponential function is written as $f(x) = a \\cdot b^x$, where the …
D. a constant
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an exponential decay function represents a quantity that has a constant…
A. True
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10) \\log \\frac{x}{y^5}
$\log x - 5 \log y$
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a computer store is placing an order for computers and tablets. each co…
a. \((8, 4)\)
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difference of cubes 8x³ + 25
If the expression is \(8x^3 + 125\) (correcting \(25\) to \(125\)), the factored form is \(\boldsymbol{(2x + 5)(4x^2-10x + 25)}\). If it's \(8x^3+25\), it cannot be factored as a …
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which example best illustrates a limitation in the effectiveness of ele…
B. Confusing ballot language lowering voter participation
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7) log (x / y^6)
$\log x - 6 \log y$
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use the function below to find ( f(-2) ).( f(x) = 3^x )a. -6b. ( \frac{…
B. \( \frac{1}{9} \)
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question 1 of 10 exponential growth and decay functions are written in …
A. time
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5) \\log \\frac{2^4}{5}
$4\log 2 - \log 5$ (o se puede calcular numéricamente si se desea un valor decimal, por ejemplo, usando $\log 2 \approx 0.3010$ y $\log 5 \approx 0.6990$, entonces $4\times0.3010 …
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part b which situation could be modeled by a function with a domain tha…
d. the amount of precipitation as a function of the outdoor temperature
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example 1 graph a piecewise-defined function to graph a piecewise-defin…
First box: closed dot (or closed circle) Second box: \( (1, 6) \)
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options: {y = x² + x - 8, y = -2x - 4}, {y = x² - x - 8, y = 2x - 4}, {…
\(\{y=-x^{2}-x + 8,y = 2x+4\}\) (the fourth option in the given set of options, i.e., the option with \( y=-x^{2}-x + 8 \) and \( y = 2x+4\))
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11 multiple c... 1 p. put the following three fractions in order from g…
$\boldsymbol{\frac{1}{2},\frac{1}{3},\frac{1}{8}}$
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what is the vertical asymptote for the rational function $f(x) = \\frac…
A. \( x = 5 \)
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1) log (6·11)
$\log(6) + \log(11)$ (o aproximadamente $1.82$ si se calcula el valor decimal con base 10)
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what math word helps you remember the order of operations? pamdas pemda…
B. PEMDAS
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topic 3 characteristics of polynomial functions skills practice continu…
The function \( g(x) \) can be modeled as \( g(x)=x^5 + 3 \) (or the bottom graph represents \( g(x) \) with the given points fitting \( g(x)=x^5+3 \)).
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skills practice continued (top graph: f(x) with points (-2,-1), (-1,0),…
The lower graph (the one with points \((-1,2)\), \((0,3)\), \((1,4)\), \((2,35)\))
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progress: the movement of the progress bar may be uneven because questi…
11
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topic 3 characteristics of polynomial functions skills practice continu…
# Explanation: ## Step1: Analyze the first function pair (Problem 11) First, we assume the parent function \( f(x) \) is a polynomial. Let's find the general form. Looking at \( f…