微积分
极限、导数、最优化与函数性质。
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which sentence from \for the era\ contains a minor detail that should n…
"The Social Security Act and the civil service and military service retirement acts are in conflict."
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select all of the equations that model the line shown on the graph. a) …
B) $y + 1 = \frac{2}{5}(x + 3)$, C) $y - 1 = \frac{2}{5}(x - 2)$
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name ________ date ________ block ________ math 1b hw: graphing lines u…
Section 5 is the steepest. Its absolute slope is 2, which is greater than the absolute slopes of section 4 (0.5) and section 6 (≈0.67). A larger absolute slope means a steeper lin…
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the graph is a transformation of the parent cubic function or quartic f…
$\frac{1}{4}(x-4)^4 + 4$
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the graph is a transformation of the parent cubic function or quartic f…
$\frac{1}{4}(x-4)^4 + 4$
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on this slide you will need to fill out the table and graph out a parab…
1. **Problem 8** Table: | $x$ | $y$ | |-----|-----| | 1 | 4 | | 2 | 1 | | 3 | 0 | | 4 | 1 | | 5 | 4 | Solution: $x=3$ (repeated root) *Graph: Plot the points; parabola opens up, t…
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review the text. good study habits train your brain for success. applyi…
The author outlines a series of best practices to follow to improve study habits.
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5. while trying to land the fish, santiagos most constant wish is2 poin…
5. that the boy were with him 6. the omniscient viewpoint
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this is a quote from the greek philosopher, pericles. our constitution …
5. a. Individual citizens could vote on issues. 6. d. 1: oligarchy; 2: direct democracy
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4 multiple choice 6.68 points who represents the british monarch (unite…
4. Governor General 5. True 6. House of Commons (Lower House) 7. Monarch (King or Queen)
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lesson 4.1 - introduction to quadratic graphs y = -1 is the axis of sym…
False (the statement "y = -1 is the axis of symmetry" is incorrect)
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state labor laws applying only to women, such as those limiting hours o…
State labor laws that apply only to women would become inoperative unless they were legally amended to also apply to men.
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a. $y \\geq 1$ b. all real numbers 1. domain 2. range lesson 4.1 - intr…
1. Domain: b. All real numbers 2. Range: a. $y \geq 1$
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this graph represents a quadratic function. what is the value of $a$ in…
$-1$
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what is one advantage of a traditional economy? this question is worth …
D. Strong community ties and social stability
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given the linear inequality graph, which two statements are true? a poi…
B. The graph represents $y < -\frac{1}{3}x + 5$ D. All points in the blue area are solutions
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given the linear inequality graph, which statements are true? a point (…
A. Point (-4, 2) is a solution C. The graph represents $y\geq 3x - 6$ D. All points in the blue area are solutions
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choose all that give the correct inequality for the graph shown. a $y\\…
A. $y \leq -\frac{1}{3}x + 1$ C. $y > \frac{1}{3}x + 1$
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what is the benefit of an interest-bearing checking account? it allows …
A. It allows you to earn interest on the money in your account.
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question 11 0 / 1 pts evaluate and simplify $\frac{11}{12} div \frac{2}…
$\frac{11}{8}$
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what is the advantage of having a high-yield checking account? offers h…
A. offers higher interest rates than regular checking accounts.
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11) use a graphing calculator or graphing utility to explore the graphs…
$f(x)$: b. $-3\ln x$ $g(x)$: a. $\ln x$
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10)here are the graphs of $ln x$ and $ln x - 2$. choose the correct lab…
$f(x)$: a. $\ln x$ $g(x)$: b. $\ln x - 2$
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using structure in exercises 27-30, describe the transformation of the …
1. For $f(x)=3(x+2)^2+1$: - Transformations: Vertically stretched by a factor of 3, shifted left 2 units and up 1 unit from $f(x)=x^2$. - Vertex: $(-2, 1)$ 2. For $f(x)=-4(x+1)^2-…
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9) use a graphing calculator or graphing utility to explore the graphs …
$f(x) =$ a. $\ln x$ $g(x) =$ d. $\ln(x-1)$
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6. the function f, where $f(x)=2x^{2}-x+3$ part a: complete the equatio…
## Part A $f(x+2)=\boldsymbol{2}x^2 + \boldsymbol{7}x + \boldsymbol{9}$ ## Part B $x=\boldsymbol{0}$ and $x=\boldsymbol{\frac{1}{2}}$
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circumstances that allow limitations on speech, press and assembly such…
clear and present danger
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$7 leq 12 - 6$
The inequality $7 \leq 12 - 6$ is **false**; the correct relationship is $7 > 6$.
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graph the function $f(x)=x^2 + 4x + 3$. state the equation of the axis …
1. Axis of symmetry for $f(x)=x^2+4x+3$: $\boldsymbol{x=-2}$ 2. Vertex of $f(x)=-x^2-6x$: $\boldsymbol{(-3, 9)}$ Graphing instructions: - For $f(x)=x^2+4x+3$: Plot points $(-3,0)$…
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9. label the graphs with the correct function names $f(x) = \\log_{4} x…
A: $f(x)=\log_4 x$ B: $g(x)=\log_6 x$ C: $h(x)=\log_{12} x$
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i. ______ $y = 0.75x + 2$ ii. ______ $y = 0.75(2)^x$ iii. ______ $y = -…
i. (a) $y = 0.75x + 2$ ii. (b) $y = 0.75(2)^x$ iii. (c) $y = -0.75x - 2$ iv. (d) $y = 2(0.75)^x$
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which of the following is the graph of this absolute value function? $y…
The first graph (leftmost graph with vertex at (3, 0) and passing through (0, 3))
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which of the following is the graph of this absolute value function? $y…
The first graph (leftmost graph with vertex at (3, 0) and passing through (0, 3))
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s and shrinks of exponential functions ial values not equal to 1 use th…
$f(0) = 3$ when $a = 3$
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sra 18 - standard (15261) tial decay functions which is the graph of $f…
The rightmost graph (with points (0,100) and (2,49))
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which is the graph of $f(x)=100(0.7)^x$?
The fourth graph (rightmost one with points $(0,100)$ and $(2,49)$)
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exponential decay functions hal is asked to write an exponential functi…
0.98
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ponential decay functionsstandard (15261)two exponential functions are …
The function $f(x)$ is a decreasing function, and $g(x)$ is an increasing function.
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sal algebra 2 standard (isbe) exponential decay functions chelsea is gr…
The graph with the initial point at (0, 20) (the bottom-most graph with the point on the positive y-axis at 20)
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exponential decay functions which graph represents exponential decay?
The top-most graph (the first one, a curve decreasing from left to right as x increases, y decreases towards negative values while starting high on the left)
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svlc algebra 1b - standard (15261) exponential decay functions which ar…
As $x$ increases by 1, each $y$-value is one-seventh of the previous $y$-value. The domain is the set of all real numbers. The range is $y > 0$
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$3.616 div 0.08$
$45.2$
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$32.88 div 0.06$
548
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$1.21 div 1.1$
2.31
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$328 div .04$
8200
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$\\begin{array}{r} \\\\ -70\\\\ \\hline 73\\\\ -70\\\\ \\hline 35\\\\ -…
934
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$1.35 div .3$
$4.5$
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eps for dividing decim to solve the problems mals: examp sor to the of …
$1.35 \div .3 = 4.5$ $0.432 \div .12 = 3.6$
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recognizing exponential decay which graph represents exponential decay?
The third graph (the decreasing curve that approaches the x-axis as x increases)
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ns: read the steps folow these steps to sor dividing decimals:ecimal in…
$0.42 \div 0.07 = 6$ $32.88 \div 0.06 = 548$
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directions: re then follow th steps for divi - move the decim right, co…
$1.9$
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name: multiplication math crossword across 2. $\begin{array}{r} 766\\ ×…
### Across: 2. 8426 4. 5696 6. 6012 8. 2268 10. 4270 13. 9804 14. 4060 15. 5466 ### Down: 1. 4755 3. 2465 5. 6069 7. 2590 8. 2899 9. 8294 11. 7414 12. 5083
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sylg algebra 1b - standard (15261)exponential decay functionsmodeling w…
$f(x) = 12,000(0.88)^x$, with a horizontal asymptote of $y = 0$
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3. what system of equations has exactly one solution? a $y=2x-8$ $y=2x+…
D. $y=4x+10$; $y=-4x-3$
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modeling with exponential decay functions a new automobile loses 12% of…
$f(x) = 12,000(0.88)^x$ with a horizontal asymptote of $y = 0$
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svlc algebra 1b - standard (15261) exponential decay functions which ar…
As $x$ increases by 1, each $y$-value is one-seventh of the previous $y$-value. The domain is the set of all real numbers. The range is $y > 0$
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(1) $y=x^{2}+6x+7$ $=(x+3)^{2}-2$ $=(-3,-2)$ fill in the following tabl…
| $x$ | $y$ | |-----|-----| | $-6$ | $7$ | | $-5$ | $2$ | | $-4$ | $-1$ | | $-3$ | $-2$ | | $-2$ | $-1$ | | $-1$ | $2$ | | $0$ | $7$ |
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$f(x)=sin(x-h)+k$ what does the k do? shifts the graph up or down. up i…
A. Shifts the graph up or down. Up if positive and down if negative.
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$f(x) = pm a|x - h| - k$ what effect does \h\ have on the graph? 1. the…
Shifts the graph left or right. Right if positive and left if negative.
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what is the vertex of the following function? $y=4|x|+1$ $(-4,1)$ $(4,1…
(0,1)
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what is the vertex of the following function? $y=4|x|+1$ $(-4,1)$ $(4,1…
(0,1)
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step 2 canceling h from the numerator and denominator and evaluating th…
$\frac{1}{2}$
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use the given graph to estimate the value of each derivative. $y=f(x)$ …
(a) $f'(-3) = -1$ (b) $f'(-2) = 0$ (c) $f'(-1) = -1$ (d) $f'(0) = 1$ (e) $f'(1) = 0$ (f) $f'(2) = 0$ (g) $f'(3) = -2$
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what is the correct equation for this graph? $y \\leq |x-4| -1$ $y \\le…
A. $y \leq |x-4| -1$
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$f(x) = pm a |x - h| - k$ what does the \-\ in front of \a\ do to the g…
reflects the graph across the x-axis
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16. graph $f(x) = \\frac{1}{x}$ and compare it to $g(x)$ that is shown.…
1. A horizontal shift right 1 unit, a vertical shift up 2 units. 2. Let $C_A = 25h + 75$ and $C_B = 15h + 125$, where $C$ is total cost and $h$ is hours. 3. 5 hours
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which function is graphed? $f(x) = |x - 5| + 5$ $f(x) = |x| + 5$ $f(x) …
C. $f(x) = |x - 5|$
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below is the graph of $y=3^{x}$. translate it to become the graph of $y…
Translate the entire graph of $y=3^x$ **2 units to the right** and **1 unit upward**. The new graph will have a horizontal asymptote at $y=1$, pass through $(2,2)$ and $(3,4)$, an…
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score on last try: 0.63 of 1 pt. see details for more. at least one sco…
a) Yes it is continuous b) No rules are violated, the function is continuous.
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what is the correct equation for this graph? $y \\leq |x-4| -1$ $y \\le…
A. $y \leq |x-4| -1$
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announcements modules assignments grades 3c media lpc tutoring/raw libr…
$m = -7$ $c = 2$
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question 8 score on last try: 0 of 1 pt. see details for more. get a si…
$66$
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score on last try: 0 of 1 pt. see details for more. get a similar quest…
- $f(-6)$ is defined. - $\lim_{x \to -6} f(x)$ exists. - The function is not continuous at $x=-6$.
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score on last try: 0 of 1 pt. see details for more. get a similar quest…
- $f(-6)$ is defined. - $\lim_{x \to -6} f(x)$ exists. - The function is not continuous at $x=-6$.
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current skill $ divide: $3\\frac{3}{4} \\div 3\\frac{1}{2}$ provide an …
$\frac{15}{14}$ or $1\frac{1}{14}$
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current skill $ divide: $3\\frac{3}{4} \\div 3\\frac{1}{2}$ provide an …
$\frac{15}{14}$ or $1\frac{1}{14}$
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order these numbers from least to greatest. $9.\\overline{5}$, $9\\frac…
$-\sqrt{100} < 9\frac{4}{11} < 9.46 < 9.\overline{5}$
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write the absolute value functions for the graph be14. let b = 115. let…
$y = \frac{4}{5}|x - 1| - 2$
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write the absolute value functions for the graphs below 14. let b = 1 1…
$y = |x - 1| - 2$ Vertex: $(1, -2)$ Point used: $(-1, 0)$ $h=1$, $k=-2$, $x=-1$, $y=0$
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exponential decay functions analyzing exponential decay graphs analyze …
The initial value is 2 The base, or rate of change, is $\frac{1}{2}$ The asymptote is $y=0$
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venth grade > ★ b.12 add and subtract integers subtract: $7 - -9 = \\sq…
16
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seventh grade > ★ b.12 add and subtract integers fns add: $1 + -7 = \\s…
$-6$
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seventh grade > ★ b.12 add and subtract integers add: $-6 + 9 = \\squar…
3
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eleventh grade > ★ b.12 add and subtract integers fns subtract: $1 - 4 …
$-3$
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seventh grade > ★ b.12 add and subtract integers fnadd:6 + -7 = □submit
$-1$
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seventh grade > ★ b.12 add and subtract integers fn add: $-3 + -8 = \\s…
$-11$
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seventh grade > ★ b.12 add and subtract integers add: $-6 + 9 = \\squar…
3
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my ixl seventh grade > ★ b.12 add and subtract integers fns subtract: $…
50
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seventh grade > ★ b.12 add and subtract integers fns add: $1 + -7 = \\s…
$-6$
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seventh grade > ★ b.12 add and subtract integers subtract: $7 - (-4) = …
11
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nth grade > ★ b.12 add and subtract integers add: $-2 + 2 = \\square$ s…
0
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seventh grade > ★ b.12 add and subtract integers subtract: $7 - (-4) = …
11
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venth grade > ★ b.12 add and subtract integers fns add: $5 + 10 = \\squ…
15
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seventh grade > ★ b.12 add and subtract integers fns add: $-5 + 5 = \\s…
0
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seventh grade > ★ b.12 add and subtract integers fns subtract: $-5 - 1 …
$-6$
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$y=mx+b$ 4) $y=-\frac{2}{3}x-1$ 5) $y=-x-1$ 6) $y=-2x-4$ 7) $y=-\frac{1…
### Graphs: 4. Line through $(0,-1)$ and $(3,-3)$ 5. Line through $(0,-1)$ and $(1,-2)$ 6. Line through $(0,-4)$ and $(1,-6)$ 7. Line through $(0,-1)$ and $(2,-2)$ 8. Vertical lin…
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1. determine the average rate of change of $f(x)=x^2 + 4x - 5$ on the i…
$m = 8$
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seventh grade > ★ b.12 add and subtract integers fns subtract: $-1 - -2…
1
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seventh grade > ★ b.12 add and subtract integers fns add: -4 + -1 = □ s…
$-5$
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multiple-choice question to find the average rate of change we will use…
slope $= \frac{16-0}{3-1}$