Cálculo
Límites, derivadas, optimización y comportamiento de funciones.
-
graph the linear equation $y = -3x + 1$. one way to get started is to m…
\( -2 \)
-
identify the graph of $p(x) = x^6 - 2x^5 - 2x^3 + x + 5$.
The top - right graph (the graph in the top - right corner of the four - graph set)
-
question 11 of 25 find f(5) for f(x) = \\frac{1}{9}(3)^x. a. 9 b. 81 c.…
C. 27
-
one way to get started is to make a table of x- and y-values. what is t…
0
-
select the correct answer. the graph of function f is shown. which stat…
B. Function g has the same horizontal asymptote as f and a vertical asymptote at \( x = 6 \).
-
on a piece of paper, graph $f(x) = 3 \\cdot (0.5)^x$. then determine wh…
C. Graph C
-
19. given f(x) = -8x + 2 has a domain of {-4, -2, 0, 2, 4}. what is the…
The range is \(\{34, 18, 2, -14, -30\}\)
-
which statement best describes $f(x) = -2\\sqrt{x - 7} + 1$? - $-6$ is …
\( -6 \) is not in the domain of \( f(x) \) but is in the range of \( f(x) \) (the option with this statement, e.g., if the options are labeled as above, the second option: \( -6 …
-
18. given the function, what is $f(-4)$?
\(-3\)
-
identify the graph of $p(x) = x^5 - 3x^3 + 2$
The bottom - right graph (the fourth graph in the given set of graphs)
-
17. given the function, what is f(-2)? type a response
\( -2 \)
-
which answer is equivalent to \\(\frac{sqrt{25}}{sqrt{30}}\\)? a. \\(sq…
A. $\sqrt{\frac{25}{30}}$
-
identify the graph of $g(x) = x^3 + x + 3$.
The top - left graph (the first graph in the top - left corner of the given set of graphs)
-
16. given the function, what is f(4)? type a response
\( 1 \)
-
which graph represents ( y = sqrt3{x} )?
The lower graph (the one that is not the parabola - shaped graph) represents \( y=\sqrt[3]{x} \)
-
which graph can be used to find the solution(s) to $8 - 4x = 2x - 4$?
The graph of \(y = 8-4x\) (a line with slope \(-4\) and \(y\)-intercept \(8\)) and \(y = 2x - 4\) (a line with slope \(2\) and \(y\)-intercept \(-4\))
-
which function is undefined for x = 0? ○ $y = \\sqrt3{x - 2}$ ○ $y = \\…
The function $y=\sqrt{x - 2}$ (the second option) is undefined for $x = 0$.
-
a new coffee shop can hold no more than 50 seats. the owner wants at le…
The third graph (the one where the region is below \(x + y = 50\), to the right of \(x = 20\))
-
solve the equation. \\log_{5}(x + 3) - \\log_{5}x = 2 select the correc…
$\frac{1}{8}$
-
select the correct answer. consider the function $y = \\frac{1}{2} \\co…
D. The midline of the function is \( y = -1 \).
-
evaluate the function for the given value of x.\ g(x) = -x³ + 3x² + 5x …
\( 2101 \)
-
evaluate the function for the given value of x. $f(x) = 7x^4 - 10x^2 + …
\( 16193 \)
-
what is the approximate solution to this equation? $4\\ln x - 8 = 12$ a…
B. \( x \approx 148.4 \)
-
select the correct answer. consider functions f and g. f(x) = \\frac{x …
D. \(\frac{x - 2}{x + 6}\)
-
evaluate the function for the given value of x. p(x) = -x^5 + 11x^3 + 7…
\( 61 \)
-
13. write an equation that parallel to $y = -4x - 1$ and passes through…
\( y=-4x - 7 \)
-
11. write the equation of the line that passes through (3,5) and (10, -…
The equation of the line is $y = - 2x+11$ (or $2x + y=11$)
-
complex numbers online practice complete this assessment to review what…
\( 5 - 6i\sqrt{2} \) (the second option)
-
select the correct answer from each drop-down menu. ronald is buying a …
First drop - down: multiply Second drop - down: 40 (assuming the intended second term after multiplication is \( 40\sqrt{x} \), so the coefficient of \( \sqrt{x} \) is 40)
-
0. write the equation of the line that passes through (-6, -2) and (-8,…
The equation of the line in slope - intercept form is \( y = -\frac{3}{2}x-11 \) (or in standard form \( 3x + 2y=-22 \))
-
select the correct answer from each drop-down menu. use the given funct…
As \( x \) approaches positive infinity, \( f(x) \) approaches \( +\infty \) and \( g(x) \) approaches \( -\infty \). The \( y \)-intercept of function \( f \) is less than the \(…
-
how does the graph of $y = \\sqrt{x} + 2$ compare to the graph of the p…
C. The graph is a vertical shift of the parent function 2 units up.
-
which of the following is the graph of $y = -4\\sqrt{x}$?
The lower graph (the second graph in the given image)
-
polynomial division box method (guided) score: 0/2 penalty: 1 off quest…
\(6x^{2}\)
-
which graph represents $y = \\sqrt3{x}$? (there is a graph with a parab…
The graph that is not the upward - opening parabola (the second graph shown, likely the one with the curve passing through the origin and having negative \( y \) for negative \( x…
-
what is the domain of the function $y = \\sqrt3{x}$? $\\circ -\\infty <…
\( -\infty < x < \infty \) (the first option, assuming the first option is \( -\infty < x < \infty \))
-
f(0) = -\\log_{3} 37 + 1\ f(0) = -\\frac{\\ln 37}{\\ln 3} + 1\ f(0) \\a…
$f(0)\approx - 2.2870$ (The process shows how to convert the logarithm with base 3 to natural logarithm and then compute the numerical value to get the approximation of $f(0)$.)
-
which of the following describes the graph of $y = \\sqrt{-4x - 36}$ co…
stretched by a factor of 2, reflected over the \( y \)-axis, and translated 9 units left (the fourth option: stretched by a factor of 2, reflected over the \( y \)-axis, and trans…
-
what is the domain of the square root function graphed below? options: …
\(x\geq3\) (corresponding to the option: \(x\geq3\))
-
2、rico and nita solved the same problem. rico got a correct answer of \…
\(\frac{1}{2}+\frac{2}{5}=\frac{5}{10}+\frac{4}{10}=\frac{9}{10}\) (So the boxes are filled with 5, 10, 4, 10, 9, 10 respectively)
-
which could be the function graphed below? options: $f(x)=\\sqrt{x} - 2…
\( f(x)=\sqrt{x}-2 \) (the first option, assuming the options are labeled as: A. \( f(x)=\sqrt{x}-2 \), B. \( f(x)=\sqrt{x - 3}+1 \), C. \( f(x)=-\sqrt{2x + 4} \), D. (typo - ed o…
-
tiles a + {b}, where a = <-3, 5> and b = <2, 1> c + {d}, where c = <2, …
- \(\mathbf{a}+\mathbf{b}=\boldsymbol{\langle - 1,6 angle}\) - \(\mathbf{c}+\mathbf{d}=\boldsymbol{\langle5,12 angle}\) - \(\mathbf{e}+\mathbf{f}=\boldsymbol{\langle13,5 angle}\) …
-
imagine you are writing a story about a boy traveling through asia who …
### 1. Circular Narrative (Start & End) The story opens with 17-year-old Leo, now 25, sitting in his attic at dusk. He holds the jade gem, its surface etched with faint, glowing c…
-
find the slope of the line $y = -5x + 6$. write your answer as an integ…
\(-5\)
-
what evidence(facts/details) is there in source 2 that supports the aut…
D. The Bantustans contain few major mineral deposits(natural resources) and few commercial and industrial centers (business centers)
-
what is the central idea in source 2? a native south africans are happy…
D. The Bantustans have limited opportunity to succeed in the segregated areas that the Apartheid Regime set up for them because of limited resources and employment
-
graph the line. $y=\\frac{4}{3}x - 1$
The line is graphed by plotting the y - intercept \((0,-1)\) and the point \((3,3)\) (found using the slope) and then drawing a straight line through these points (and extending i…
-
given the equation $y = \\frac{1}{3}x$, which of the following are corr…
a. \((9, 3)\), d. \((42, 14)\)
-
using partial produc 135 × 3 □ = □ × □ □ = □ × □ □ = □ × □ □ 614
First partial product: 15, Second partial product: 90, Third partial product: 300, Final product: 405
-
solve. (7 × 8) + 3 − (9 ÷ 3) answer: problem: (7 × 8) + 3 − (9 ÷ 3) wha…
\(56\)
-
when a baseball is hit by a batter, the height of the ball, h(t), at ti…
\( 1\leq t\leq3 \) (the option with "1 ≤ t ≤ 3")
-
a projectile is fired straight up from ground level with an initial vel…
\( 3 < t < 4 \) (assuming the first option is \( 3 < t < 4 \) and the last option has a typo, the correct interval is \( 3 < t < 4 \))
-
teks a.3.c review: graphing linear functions which statement is true? s…
B. The slope of the graph of k is -2, D. The x - intercept of the graph of k is 2
-
using the quadratic formula to solve $4x^2 - 3x + 9 = 2x + 1$, what are…
\(\frac{5\pm\sqrt{103}i}{8}\) (the third option: \(\frac{5\pm\sqrt{103}i}{8}\))
-
5) 6 × (3/14) = 6) 4 × (1/9) = 7) 7 × (6/17) = 8) 2 × (13/3) =
5) \( \frac{9}{7} \) (or \( 1\frac{2}{7} \)) 6) \( \frac{4}{9} \) 7) \( \frac{42}{17} \) (or \( 2\frac{8}{17} \)) 8) \( \frac{26}{3} \) (or \( 8\frac{2}{3} \))
-
the function $y = f(x)$ is graphed below. what is the average rate of c…
\(-10\)
-
the height of a stuntperson jumping off a building that is 20 m high is…
\( 1 < t < \sqrt{2} \) (assuming the option is written as \( 1 < t < \sqrt{2} \), match the option format from the problem)
-
select the correct answer from each drop-down menu. the graph represent…
The piece - wise function is \( f(x)=\begin{cases}0, & \text{if }x\leq1\\x + 4, & \text{if }x\geq1\end{cases}\) (and the lower line \( 2x-1 \) for \( x < - 1 \) if considered, but…
-
16. solve the problem. consider the quadratic model h(t) = -16t² + 40t …
Maximum height: 75 feet. Time to fall back: 2.5 seconds (if assuming fall time = up time, but actual quadratic solution is ≈2.165 s; however, following the problem's "same time up…
-
graph the equation $y = -x^2 + 2x + 3$ on the accompanying set of axes.…
The equation of the axis of symmetry is \( x = 1 \)
-
3. find the slope that passes through the points (2,4) and(6, -8) type …
-3
-
which graph is the graph of this function? $f(x) = \\begin{cases} 5 & \…
B. graph B
-
question 15 what are the natural rights mentioned in the declaration of…
D. life, liberty, and the pursuit of happiness
-
look at the correct answer graph a graph of a graph b graph of b graph …
C. Graph C
-
type the correct answer in each box. use numerals instead of words. if …
First box: $x + 3$ Second box: $5$
-
the graph shows the distance a microcar travels at its top speed over t…
\( y = 40x \)
-
question 13 what principle did thomas jefferson refer to in these lines…
C. social contract
-
question 5 what was the mayflower compact’s contribution to american de…
C. self - government
-
describe the end behavior of the quadratic function graphed below. pick…
The function values decrease as \( x \) approaches positive infinity, The function values decrease as \( x \) approaches negative infinity (i.e., the options "The function values …
-
what is the solution set of the quadratic inequality ( f(x) geq 0 )? ( …
\(\{x\mid x\in\mathbb{R}\}\)
-
the graph shows the distance a microcar travels at its top speed over t…
The slope is \(\boldsymbol{40}\). The speed of the car is \(\boldsymbol{40}\) miles per hour.
-
find the values of the absolute maximum and minimum for the following q…
Absolute minimum: \(-4\) Absolute maximum: DNE
-
which equation represents a line that has a slope of $-\frac{1}{2}$ and…
The equation is $y =-\frac{1}{2}x + 4$ (the first option among the given options, assuming the options are: 1. $y =-\frac{1}{2}x + 4$, 2. $y=-\frac{1}{2}x + 2$, 3. $y = 4x-\frac{1…
-
select the correct answer from each drop-down menu. write the functions…
\( f(x)=\boldsymbol{|x|} \), \( g(x)=\boldsymbol{\frac{1}{2}|x|} \), \( h(x)=\boldsymbol{|x| + 3} \)
-
move at least one of the 5 guide points below to complete the graph of …
Move the blue vertex point from \((0,0)\) to \((4,0)\), and adjust red points to be symmetric about \( x = 4 \) (e.g., if a red point was at \((-1,1)\), move it to \((9,1)\); if a…
-
5. subtract: 3.64 - 1.46 = a 2.18 b 4.18 c 1.18 d 4.20
\(2.18\) (Option A: 2.18)
-
what is the slope of the line? the chart shows the relationship between…
50
-
describe the end behavior of the quadratic function shown below. pick a…
The correct options are: - The function values increase as \( x \) approaches positive infinity. - The function values increase as \( x \) approaches negative infinity. (In the fo…
-
a baseball is thrown upwards from a height of 5 feet with an initial sp…
C. 2 seconds
-
find the smallest y value for the following quadratic equation. enter $…
\(-\infty\)
-
5. what is the value of |15 - t| when t = 23? a. 8 b. -38 c. 38 d. -8 6…
a. 8 ### Question 6 (Note: Since the function \(f(x)\) is not given, we assume that there is a common function context or maybe a typo, but from the options, if we assume a simple…
-
move at least one of the 5 guide points below to complete the graph of …
To complete the graph: 1. Move the blue vertex point from \((0, 0)\) down to \((0, -2)\) (to account for the \( -2 \) vertical shift). 2. Adjust the red points: for \( x = \pm 1 \…
-
which function is the inverse of $f(x)=x^3 - 6x^2 + 12x - 8$? a. $f^{-1…
B. \( f^{-1}(x)=\sqrt[3]{x}+2 \)
-
in the given graph of a cubic polynomial, what are the number of real z…
D. 1 and 2
-
the first equation in the system models the height, h, of a falling vol…
The volleyball is 14 feet above the ground at the instant the player begins her jump. (Assuming the first equation is \( h = 14 - 16t^2 \) for the volleyball's height, and \( t = …
-
does the following parabola open upwards or downwards? $f(x) = \\frac{3…
Opens upwards; has a U shape
-
move at least one of the 5 guide points below to complete the graph of …
Move the blue vertex point to \((6, 3)\) and adjust red points to match \( y=(x - 6)^2+3 \) (e.g., red points at \( (5, 4) \), \( (7, 4) \), \( (4, 7) \), \( (8, 7) \) etc. based …
-
find the value of x. \\log_{x} 8 = 0.5 a. 4 b. 16 c. 32 d. 64
D. 64
-
move at least one of the 5 guide points below to complete the graph of …
Move the blue vertex point from \( (0, 0) \) to \( (8, 0) \), and adjust red points as needed (e.g., for \( x = 8 \pm 2 \), \( y = 2 \); for \( x = 8 \pm 4 \), \( y = 8 \)) to mat…
-
Question was provided via image upload.
- Top graph (first graph of inverse function) : \( f(x)=\sqrt{x - 1}-3 \) - Second graph (second from top) : \( f(x)=\frac{1}{2}x \) - Third graph (third from top) : \( f(x)=\frac…
-
move at least one of the 5 guide points below to complete the graph of …
To complete the graph of \( y = 4x^2 \): 1. For the red points at \( x = 1 \) and \( x=-1 \) (the inner red points), move them vertically to \( y = 4 \) (since \( y = 4x^2 \) give…
-
move at least one of the 5 guide points below to complete the graph of …
Move the blue vertex point to \( (0, -5) \) (and adjust red points accordingly: e.g., red points at \( x = 1, -1 \) move to \( y = -4 \), \( x = 2, -2 \) move to \( y = -1 \) if n…
-
question 13 solve $2\\sin(2\\phi) - 2\\cos(\\phi) = 0$ for all solution…
0.52, 1.57, 2.62, 4.71
-
a function has an initial value of 2 and a slope equal to -1. choose th…
The graph with y - intercept at (0,2) (the given graph has this y - intercept, even though the slope is incorrect. But for the qualitative feature of initial value, this graph has…
-
\\(\\frac{10^4}{2^4}=\\)
625
-
question 18 (mandatory) (1 point) saved for what value(s) of n does the…
a) \( n = 1 \)
-
write an equation in slope-intercept form of the line that passes throu…
\(y = -\frac{5}{2}x-1\)
-
(\frac{5^8}{25} cdot \frac{5^{10}}{5^5})
\( 5^{11} \)
-
write an equation in slope - intercept form of the line that passes thr…
\(y = -\frac{1}{2}x + 1\)
-
the graph of the function f(x) is shown below. state all values of x in…
\( x = -4, -3, 1, 6, 7 \) (Note: Depending on the graph's exact details, but these are the typical discontinuity points in such graphs. If there are fewer, maybe I overcounted, bu…