Cálculo
Límites, derivadas, optimización y comportamiento de funciones.
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jordan is trying to write a sentence to describe how linear functions a…
D. Over equal intervals, linear functions grow by equal differences and exponential functions grow by equal factors.
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16 mark for review for ( x > 0 ), ( \frac{d}{dx} int_{1}^{sqrt{x}} \fra…
$\frac{1}{2\sqrt{x}(1+x)}$
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write a function in any form that would match the graph shown below.
\(f(x)=-\frac{3}{2}(x + 4)(x + 1)^2\) (or expanded form \(f(x)=-\frac{3}{2}x^{3}-9x^{2}-\frac{27}{2}x - 6\))
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7. what is the solution to $9(e^{x - 2}) = 36$? (1) $x = \\frac{\\ln(36…
(3) $x = \ln(4) + 2$ --- ### Question 8
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marshall is comparing the growth rates of $f(x) = 6 cdot 1.5^x$ and $g(…
A. Marshall is only considering a small portion of the domains of the functions. If he went farther to the right on the graph, he would observe that the growth rate of \( f(x)=6\c…
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unit 2 linear & exponential functions → lesson 9 linear vs. exponential…
A. Initially, Function #2 has the greater growth rate. After \( x = 32 \), the growth rate of Function #1 surpasses the growth rate of Function #2.
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16. the graph of $y = 2^x - 4$ is positive on which interval? (1) $(-in…
(2) $(2,\infty)$ --- ### Question 17
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austin is using graphs to compare the growth rates of $g(x) = 1.3x$ and…
The growth rate of \( f(x) = 1.8^x \) is less than the growth rate of \( g(x) = 1.8x \) until \( x \) is approximately 2.7.
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this table displays the exponential growth of a function over equal int…
B. Ramona needs to add another column to the table and find the growth factors between the consecutive values of \( f(x) \). She will be able to prove that exponential functions g…
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15. perform each operation and determine the domain of each function if…
$f(x)+g(x) = x^2 - 2x - 9$, Domain: $(-\infty, \infty)$ $f(x)-g(x) = x^2 - 4x + 1$, Domain: $(-\infty, \infty)$
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use the table to answer the question. which exponential equation contai…
C. \( y = 125\cdot0.005^{x}\) (Here we assume the options are labeled as A: \(y = 0.0625^{x}\), B: \(y=125\cdot - 0.005^{x}\), C: \(y = 125\cdot0.005^{x}\), D: \(y=-125\cdot0.005^…
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which exponential equation contains the points (0,16) and (1,6.4)? (1 p…
\( y = 16 \cdot 0.4^x \) (the third option: \( y = 16 \cdot 0.4^x \))
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linear & exponential functions exponential d (0, 8) (1, 6) click for lo…
\( y = 8 \cdot (0.75)^x \) (the first option)
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linear & exponential functions click for long desc which equation is sh…
\(y = 8\cdot(0.75)^{x}\) (the first option: \(y = 8\cdot(0.75)^{x}\))
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((10 - 6 + 5) ÷ 9) × 2
\(2\)
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9 4 6 - 3 6 5 □ 8 1
5
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quiz question 1 of 6 working with a broker or brokerage firm is select …
C. recommended but optional for making investments.
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what is the value of k for the function? (fill in the blank with an int…
2
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the graph below shows a vertical compression of factor \\(\\square\\) p…
$\frac{1}{2}$
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the graph below shows a vertical stretch of \\(\\square\\) factor perfo…
3
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question 2 the graph below shows a vertical stretch of factor performed…
3
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select all that apply. subtraction of three from the absolute value mul…
- ✅ Subtraction of three from the absolute value - ✅ Multiplication of $-1$ with the absolute value quantity
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refer to the graph: if a reflection over the x - axis is performed, wha…
$y=-|x+3|$
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question 7 the absolute value function ( y = | -x - 3 | + 4 ) is graphe…
$y=-|-x-3|+4$
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question 2 (fill in the blank with an integer.) what is the equation fo…
$y = |1x|$ (or simplified as $y = |x|$, the blank integer is 1)
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what is the value of ( k ) for the function? (fill in the blank with an…
2
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question 2 1 point the graph below shows a vertical stretch of \\boxed{…
3
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question 3 the graph below shows a vertical compression of factor \boxe…
$\frac{3}{10}$
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what is the equation for this graph? (fill in the blank with an integer…
$y = |x - 5|$
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fill in the table with the correct values for the graph of $f(x)=|x - 4…
(a) = 2, (b) = 0, (c) = 5, (d) = 2
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question 5 on a highway, cars must drive at or under the speed limit, a…
$x=60$ or $x=75$
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question 3 what is the value of | - 40.5|?
40.5
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question 4 solve the equation \\(\\frac{|x|}{7} = 9\\). (fill each blan…
$x = -63$ or $x = 63$
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adele and neil are discussing how to translate an absolute value functi…
Neil
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a horizontal translation of 3 to the left is performed on the equation …
$y=|x+3|+1$
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a transformation is performed on the function $y = |x|$, which results …
$y = |x| + 3$
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question 2 (fill in the blank with an integer.) what is the equation fo…
$y = |1x|$ or $y = |x|$
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question 7 a transformation is performed on function a, resulting in fu…
A. Reflection over the x-axis
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the function ( g(x) ) is the result of which of the following on the ab…
vertical compression of 0.25
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28) $f(x)=x^2 - 2x - 4$; find $f(3)$ (a) determine if the relation is a…
$-1$ --- ### For problem 30:
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question 4 points 3 emma owes 17 dollars to his brother. she paid 8 dol…
9 dollars
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attempt 1: 10 attempts remaining. find the derivative of the function (…
\( 6x(x^{2}-7)^{2}e^{(x^{2}-7)^{3}} \)
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attempt 1: 10 attempts remaining. compute the derivative of the functio…
\( \frac{3x^2 - 30}{2\sqrt{x^3 - 30x}} \) (or the factored form \( \frac{3(x^2 - 10)}{2\sqrt{x^3 - 30x}} \))
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attempt 1: 10 attempts remaining. compute the derivative of the functio…
\( 4(7x + 1)(7x^2 + 2x - 5)^3 \)
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hw 1-8 score: 7.6/15 answered: 8/15 progress saved done question 9 0/1 …
a) $x^2 - 3$ has an open circle at $x=-1$ b) $-2x + 4$ has a closed circle at $x=-1$ and an open circle at $x=3$ c) $\sqrt{x - 2}$ has a closed circle at $x=3$
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2) \\( y = x - 5 \\)
The graph of \( y = x - 5 \) is a straight line passing through the points \( (0, -5) \) and \( (5, 0) \) (and other points on the line) as plotted on the given coordinate grid.
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in brown v. board of education of topeka (1954), the supreme court reac…
C. Equal protection of the laws and due process
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draw the piecewise function: $f(x)=\\begin{cases}5 & \\text{if } -5\\le…
1. Draw a horizontal line segment connecting $(-5, 5)$ (closed dot) to $(1, 5)$ (closed dot). 2. Draw a line starting at $(1, -4)$ (open dot), passing through $(2, -5)$, and exten…
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11. if the line tangent to the graph of the function f at the point (3,…
$2$
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questions 4 through 6 refer to the following. the second amendment ... …
D. The Second Amendment is viewed by some as an individual rights issue but by others as a states' rights issue.
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for problems 7 – 10, leave as an exact value {no rounding}. 7. find the…
$-312$
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6. find the indefinite integral of the following: $f(x) = 180x^{8} + 18…
$20x^9 + 3x^6 - 7x^2 + 16x - 5\ln|x| + 9\sec x + C$
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the rate at which the amount of water in a tank is changing, in liters …
6
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question the temperature of an object, in degrees f, can be modeled by …
18 degrees F
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write a quadratic function to model the vertical motion for each situat…
The function is $\boldsymbol{h(t) = -16t^2 + 376t}$, and the maximum height is $\boldsymbol{2209}$ feet.
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if f(x) = 2x - 3, find the following: a. f(-2)
$-7$
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write a quadratic function to model the vertical motion for each situat…
144 ft
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11、find the slope of the line that passes through all of the points on …
\(\frac{8}{3}\)
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computation 729.35 - 203.63 = 430 × 57 = 45.45 ÷ 4.5 =
$729.35-203.63 = 525.72$ $430 \times 57 = 24510$ $45.45 \div 4.5 = 10.1$
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10. find the slope of the line that passes through all of the points on…
3
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match the description to the type of persuasive technique. hasty genera…
- hasty generalization → uses insufficient evidence - ad hominem → attacks person rather than argument - false dilemma → offers a limited number of options
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evaluate the expression below. submit your answer as a mixed number or …
$\frac{11}{2}$ or $5\frac{1}{2}$
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which of the following represent the same line? select all that apply.\…
\(y = 3-2x\), \(f(x)=-2x + 3\), \(y=-2x + 3\) ### Second Sub - Question (Three points on the same line)
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vocabulary choose the correct term from the vocabulary box. 1 the answe…
A. 6 ### Sub - question 6
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1. find the key features of the function f(x), graphed here. a. axis of…
## For Question 1: a. $x=-2$ b. $(-2, 1)$ c. Maximum d. $(-3, 0)$ and $(-1, 0)$ e. $(0, -3)$ ## For Question 2: a. $x=-1$ b. $(-1, -9)$ c. Minimum d. $(-4, 0)$ and $(2, 0)$ e. $(0…
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which narrative point of view is shown in the passage? the voice said: …
B. second person
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snuff-box into his lower lip, holding the lip outdrawn between thumb an…
first person
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which narrative point of view is shown in the passage? betsy was always…
first person
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which narrative point of view is shown in the passage? the radley place…
first person
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which narrative point of view is shown in the passage? captain weston w…
third person omniscient
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what were the primary assumptions behind the signing of executive order…
The quotation "People of Japanese heritage, even if born in the United States, might have retained loyalty to Japan." is an unwarranted assumption.
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solve the following system of equations graphically on the set of axes …
The solution is \((5, 4)\) (the point of intersection of the two lines \(y = x - 1\) and \(y=-\frac{3}{5}x + 7\) when graphed).
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3.02b homework for each of the following changes in the market for appl…
Supply of apples is unchanged. ### 2. A new and better apple picking machine is invented.
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question 3 of 8 select the correct answer. if needed, use a paper and p…
D. 334 R51
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enter your answers in the boxes. \\(\\begin{array}{r}1,373\\\\49\\enclo…
The quotient of 67,308 and 49 is 1,373, remainder 31
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complete the statement about the division problem. \\(\\begin{array}{r}…
5
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complete the statement about the division problem. the number 170 is th…
500
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complete the statement about the division problem. the number 170 is th…
50
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at the gift shop of his familys cable car service, li wei sells boxes o…
Li Wei can make 99 boxes of 40 pinecones. He needs 30 additional pinecones to complete another box.
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enter your answers in the boxes. if needed, use a paper and pencil to f…
519 R 68
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this division problem is in the process of being solved. what should yo…
bring down the 0
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expand \\(\\ln \\frac{6x^2}{y^4}\\).\\(\\ln \\frac{6x^2}{y^4} = \\squar…
$\ln6 + 2\ln x - 4\ln y$
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expand \\(\\ln 3x^4\\). \\(\\ln 3x^4 = \\square\\)
$\ln 3 + 4\ln x$
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14.25 + (-27.381) = \\square
$-13.131$
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expand \\(\\log_{8} 3x\\). \\(\\log_{8} 3x = \\square\\)
$\log_8 3 + \log_8 x$
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a line has a slope of 7 and passes through the point (-1, -8). write it…
$y = 7x-1$
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¡inténtalo! unlimited attempts left due february 2nd 11:59 pm completa …
Se comen ### Question 2
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a line has a slope of 6 and passes through the point (-2, -16). write i…
$y = 6x-4$
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a line has a slope of $-\\frac{1}{8}$ and passes through the point $(-8…
$y =-\dfrac{1}{8}x + 6$
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a line has a slope of 6 and passes through the point (-4, -20). write i…
$y = 6x+4$
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question 32 let ( f ) be a function defined by ( f(x) = 2x^2 - 3 ) and …
C. a parabola with vertex \( (1, -3) \)
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solve the polynomial equation by finding all roots. 3. ( 2x^3 - 3x^2 + …
The roots of the polynomial equation $2x^3 - 3x^2 + 8x - 12 = 0$ are $x=\frac{3}{2},x = 2i,x=-2i$
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find the slope of the line that passes through (5, 1) and (3, 2). simpl…
$-\frac{1}{2}$
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look at the graph: what is the equation of the vertical asymptote?
\( x = 3 \) Wait, no, maybe I made a mistake. Wait, the graph: the vertical asymptote is at \( x = 3 \)? Wait, no, let's check the x - coordinates. The origin is (0,0). The vertic…
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look at the graph: what is the equation of the horizontal asymptote?
\( y = -5 \)
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write the equation of the line in fully simplified slope - intercept fo…
$y=x+6$
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graph the following function by moving the green and blue dots (if nece…
To graph \( y = 3\sqrt[3]{x} \), adjust the blue dots as follows: - The blue dot at \( x = 1 \) should be at \((1,3)\). - The blue dot at \( x=-1\) should be at \((-1,-3)\). - The…
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look at this graph: what is the minimum value of this function?
-9
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graph this line using the slope and y-intercept: $y = \\frac{1}{6}x + 3…
The line passes through points $(0, 3)$ and $(6, 4)$; connecting these points graphs $y=\frac{1}{6}x+3$.
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compare ( g(x) = -1.3x^2 - 9.1x - 15 ) to ( f ), shown in the graph. wh…
A. f(x); The y-coordinate of the vertex of f(x) is greater than the y-coordinate of the vertex of g(x).