微積分
極限、導數、最優化與函數性質。
-
guided solution powered by calcview complete the following. part a. des…
The graph of $g$ is a **vertical stretch** by a factor of $\boldsymbol{3}$, followed by a translation $\boldsymbol{5}$ units $\boldsymbol{down}$ of the graph of $f$.
-
what is the slope of this line?
$\frac{4}{5}$
-
suppose that the functions $p$ and $q$ are defined as follows. $p(x)=x^…
$(q \circ p)(4)=5$ $(p \circ q)(4)=13$
-
9. solve the logarithmic equation: $log_{2}(x) + log_{2}(x - 2) = 3$. a…
A. $x = 4$ --- ### Question 10
-
for the real-valued functions $g(x)=\\frac{x-4}{x+1}$ and $h(x)=4x-13$,…
$(g \cdot h)(x) = \boldsymbol{\frac{4x-17}{4x-12}}$ Domain of $g \cdot h$: $\boldsymbol{(-\infty, 3) \cup (3, \infty)}$
-
suppose that the functions $q$ and $r$ are defined as follows. $q(x)=4x…
$(q \cdot r)(-1) = -24$ $(r \cdot q)(-1) = -24$
-
the functions r and s are defined as follows. $r(x)=2x-1$ $s(x)=-2x^2 +…
$-49$
-
-1436.08379036296 the answer above is not correct. use the fundamental …
$-5\pi^2 + 2$
-
find the vertex of the graph of the quadratic function. $y = -2(x - 5)^…
$(5, 6)$
-
part a. describe the transformation of $f$ represented by $g$. $f(x)=e^…
The graph of $g$ is a **horizontal shrink** by a factor of $\boldsymbol{\frac{1}{5}}$, followed by a translation **up** $\boldsymbol{2}$ units of the graph of $f$.
-
jamarion bruce q3 - accelerated mathematics gr 8 | quiz 3 3. in the con…
a. $\leq$
-
my assignments think that irrigation counts for more towards achieving …
B. They introduce an awed tone.
-
which one is the graph of $f(x)=x^3$? what is its range? which one is t…
Correct graph: A. <The graph labeled A with the S-shaped cubic curve> Range: $(-\infty, \infty)$
-
choose the transformations for the function as it compares to the paren…
Reflection: No reflection Horizontal shift: Left Horizontal shift by how many: 7 Vertical shift: Down Vertical shift by how many: 5
-
use the graphs of f and g to evaluate the composite function.$(f circ g…
$-10$
-
for the function $f(x)= -5x+2$, $f(-4)=$_. $f(-4)=\\square$ (simplify y…
22
-
write the function with the given transformation from the given parent …
$f(x) = -5\sqrt[3]{x} + 3$
-
f. division of rational numbers divide the following. review the divisi…
7. $0$ 8. $-1$ 9. $12$ 10. $-3$ 11. $-8$ 12. $7.1$ 13. $376$ 14. $4$ 15. $\frac{5}{6}$
-
question list for $f(x)=x^2 + 4$ and $g(x)=x^2 - 8$, find the following…
a. $x^4 -16x^2 +68$ b. $x^4 +8x^2 +8$ c. $68$ d. $392$
-
fill in the blank to correctly complete the following sentence. the gra…
to the right
-
let $f(x) = -4x + 6$. find $f(0)$. $f(0)=\\square$ (simplify your answe…
6
-
let $f(x)=x^2 - 9$ and $g(x)=14 - x$. perform the composition or operat…
$-80$
-
fill in the blank to correctly complete the following sentence. the gra…
x-axis
-
determine the largest open intervals of the domain over which the funct…
(a) A. The function is increasing on the interval(s) $(-\infty, -3), (3, \infty)$ (b) A. The function is decreasing on the interval(s) $(-3, 3)$ (c) B. The function is never const…
-
the functions f and g are graphed in the same rectangular coordinate sy…
$\sqrt{x-4}+3$
-
determine the intervals of the domain over which function is continuous…
A. The function is continuous on $(1, \infty)$
-
use transformations of the absolute value function, $f(x)=|x|$, to grap…
A. Horizontal shift 1 unit to the right D. Reflection about the x-axis E. Vertical stretch by a factor of 4 F. Vertical shift 5 units down To graph $g(x)$: 1. Start with $f(x)=|x|…
-
what is the value of $a$ in this functions equation? a. -2 b. 1 c. -1 d…
A. -2
-
let $f(x)=3x^{2}+4$ and $g(x)= - 3x+6$. find the following. $(f - g)(-4…
34
-
self tions: $y = -3x - 5$ $y = 4x + 30$
$x=-5$, $y=10$
-
fill in the blanks to correctly complete the sentence to obtain the gra…
To obtain the graph of $f(x)=(x+6)^3 - 2$, shift the graph of $y=x^3$ to the left $\boldsymbol{6}$ units and down $\boldsymbol{2}$ units.
-
12/18 evaluate $log_{7}7$ type your answer...
1
-
use the graph to determine open interval on which the function is incre…
A. The function is increasing on the interval(s) $(0, \infty)$
-
bentham expanded on beccarias ideas regarding rationality and deterrenc…
C. the hedonistic calculus
-
for the functions $f(x)= -6x + 9$ and $g(x)=7x + 9$ find the following …
(a) $(f \circ g)(x) = -42x - 45$, Domain: $(-\infty, \infty)$ (b) $(g \circ f)(x) = -42x + 72$, Domain: $(-\infty, \infty)$
-
3) graph each piecewise function. a) $f(x)=\\begin{cases}-x + 3, & x < …
### Graph Summary (Key Points for Plotting): a) - Line $y=-x+3$: $(0,3)$, open circle at $(2,1)$ - Line $y=\frac{x}{2}$: closed circle at $(2,1)$, $(4,2)$ b) - Line $y=-x+1$: $(-2…
-
using the function, $f(x)=5-x$, find the following: (a) $f(x+h)$ (b) $f…
(a) $5 - x - h$ (b) $-h$ (c) $-1$
-
assessment practice choose all that are true. $\frac{1}{4} \times 1\fra…
$\frac{1}{4} \times 1\frac{7}{8} = \frac{15}{32}$ $4\frac{1}{2} \times 1\frac{1}{3} = 6$ $5\frac{1}{4} \times \frac{1}{2} = 2\frac{5}{8}$
-
question the graph of $y = f(x)$ is shown below. find all values of $x$…
$(-\infty, 0) \cup (4, \infty)$
-
16) $y=-\frac{3}{2}x+1$
La recta se grafica pasando por los puntos $(0, 1)$ y $(2, -2)$, extendida por todo el plano cartesiano.
-
use the graphs of f and g to evaluate the composite function.$(f circ g…
$4$
-
arbys advertises $5 for 3 beef and cheddar sandwiches. how much is this…
Approximately $\$1.67$ per sandwich, or exactly $\$\frac{5}{3}$ per sandwich
-
express the given function h as a composition of two functions f and g …
$f(x) = \sqrt[6]{x}$ $g(x) = x^3 - 9$
-
$4\frac{1}{12} \\times 7$
$\frac{343}{12}$ or $28\frac{7}{12}$
-
14) $y = 6x + 3$
# Explicación: ## Paso1: Encontrar el intercepto con el eje y La ecuación está en la forma $y=mx+b$, donde $b=3$. Esto significa que la línea corta al eje $y$ en el punto $(0, 3)$…
-
in 5-12, estimate the product. then find each product. 5. $4 \\times 6\…
5. Estimate: 24; Exact: $25$ 6. Estimate: 12; Exact: $9\frac{5}{8}$ 7. Estimate: 4; Exact: $3\frac{31}{48}$ 10. Estimate: 28; Exact: $28\frac{7}{12}$
-
given the function $h(x) = -x^2 - x + 3$, determine the average rate of…
$-3$
-
finding slope guided notes & practice slope can also be found from the …
1) $(x_1,y_1)=(19,-16)$, $(x_2,y_2)=(-7,-15)$ 2) $(x_1,y_1)=(1,-19)$, $(x_2,y_2)=(-2,-7)$ 3) $(x_1,y_1)=(-4,7)$, $(x_2,y_2)=(-6,-4)$ 4) $(x_1,y_1)=(20,8)$, $(x_2,y_2)=(9,16)$ 5) $…
-
12) $y = -\frac{3}{4}x$
La gráfica de $y = -\frac{3}{4}x$ es una recta que pasa por el origen $(0,0)$ y el punto $(4, -3)$, con pendiente negativa que disminuye a medida que $x$ aumenta.
-
new technology can help preserve culture by limiting it. recording and …
recording and documenting it.
-
in 5-12, estimate the product. then find each product. 5. $4×6\\frac{1}…
5. Estimate: 24, Exact product: $25$ 6. Estimate: 12, Exact product: $10\frac{1}{12}$ 7. Estimate: 4, Exact product: $3\frac{31}{48}$ 10. Estimate: 28, Exact product: $28\frac{7}{…
-
swer attempt 1 out of 2 $f(x) = \\begin{cases} \\boxed{-4} & \\text{for…
The correct expression for the interval $2 < x \leq 5$ is $\boldsymbol{3x - 14}$, so the piecewise function is: $$ f(x) = \begin{cases} -4 & \text{for } -3 \leq x \leq 2 \\ 3x - 1…
-
7) $y=\\frac{1}{2}x - 1$ $b=-1$ $m=\\frac{1}{2}$
La gráfica de $y = \frac{1}{2}x - 1$ es una recta que pasa por los puntos $(0, -1)$, $(2, 0)$ y $(-2, -2)$, con una pendiente positiva de $\frac{1}{2}$, como se muestra en la cuad…
-
\i think the real concern is a loss of control. and presenting this as …
A. maintain its hold on Chinese citizens.
-
average rate of change (slope) from a graph, table, equation multiple-c…
-1
-
which constitutional amendment was used by the supreme court to begin t…
Question 1: The Fourteenth Amendment Question 2: A provision prohibiting the government from endorsing or supporting a specific religion
-
8. the graph of an absolute value function $f(x)$ is shown. find the va…
$x=4$ and $x=-8$
-
8. the graph of an absolute value function $f(x)$ is shown. find the va…
$x=4$ and $x=-12$
-
6. assessment practice match each number with the equation it is missin…
$4 + 12 + 5 = 39 - \boldsymbol{18}$ $\boldsymbol{20} + 14 = 7 + 7 + 20$ $28 + 10 + 10 = \boldsymbol{24} + 24$ $\boldsymbol{30} + 16 = 26 + 10 + 10$
-
1) write the equation of this line in slope-intercept form. write your …
$y=4x+1$
-
4. why is the inequality sign reversed in the last two steps of exercis…
The inequality sign is reversed because the last two steps involve multiplying or dividing both sides of the inequality by a negative number, which is a required rule to keep the …
-
question 4. the equation $a = 4|x + 12| - 7$ has one solution for some …
$a = -7$
-
the functions f and g are graphed in the same rectangular coordinate sy…
$g(x)=\sqrt{x+2}-3$
-
use transformations of the absolute value function, $f(x)=|x|$, to grap…
D. Horizontal shift 1 unit to the right E. Vertical stretch by a factor of 2 F. Vertical shift 6 units up To graph $g(x)=-2|x-1|+6$: 1. Start with $f(x)=|x|$ (V-shape with vertex …
-
question 8 (multiple choice worth 3 points) a person falsely yells \bom…
A. First
-
select all the correct sums.$square$ $6,384 + 5,649 = 11,923$$square$ $…
Correct sums (left section): - $8,762 + 15,409 = 24,171$ - $39,719 + 27,662 = 67,381$ - $117,875 + 19,794 = 137,669$ Problem 16 answer: D. 107,212
-
use transformations of the absolute value function, $f(x)=|x|$, to grap…
A. Reflection about the x-axis D. Horizontal shift 1 unit to the right E. Vertical stretch by a factor of 2 F. Vertical shift 6 units up To graph $g(x) = -2|x-1|+6$: 1. Start with…
-
find the inverse of the function $y = \\log(x + 9)$. $y = \\square$
$y = 10^x - 9$
-
use the aleks graphing calculator to find all the real zeros of the qua…
None
-
graph the given function by making a table of coordinates.$f(x)=5^{x}$c…
Completed table (already correct): | $x$ | $y$ | |-----|-----| | -2 | $\frac{1}{25}$ | | -1 | $\frac{1}{5}$ | | 0 | 1 | | 1 | 5 | | 2 | 25 | Correct graph: B. The graph with point…
-
question 14 graph the system $\\begin{cases} y \\leq -\\frac{4}{3}x + 1…
1. Draw a solid line through $(0,1)$ and $(\frac{3}{4}, 0)$, shade below it. 2. Draw a dashed line through $(0,2)$ and $(-\frac{4}{5}, 0)$, shade below it. 3. The overlapping shad…
-
10. $3,247div15$
$216.4667$ (or $\frac{3247}{15}$ as an exact fraction)
-
use the aleks graphing calculator to find all the real zeros of the qua…
1.14, -2.64
-
use the aleks graphing calculator to find all the real zeros of the qua…
-1.33
-
approximate the number using a calculator. $2^{2.2}$ $2^{2.2} \\approx …
$4.595$
-
graph the parabola. $y=3x^{2}+18x+23$ plot five points on the parabola:…
Five points to plot: 1. Vertex: $(-3, -4)$ 2. Left of vertex: $(-4, -1)$, $(-5, 8)$ 3. Right of vertex: $(-2, -1)$, $(-1, 8)$ Connect these points to graph the parabola.
-
find the inverse of the function $y = \\ln(x - 4)$. $y = \\square$
$y = e^x + 4$
-
u5:04: unit 5 test a section of an olympic downhill ski course falls 30…
$-\frac{15}{17}$ (the third option)
-
simplify $(-3e^{-5x})^2$. $(-3e^{-5x})^2 = \\square$
$9e^{-10x}$
-
personal finance and economics economic decision-making and microeconom…
scarse.
-
the journey to mordor taught me many lessons, and the most important on…
1. the danger of corrupting power and the need to resist it, using the One Ring from Mordor as an example 2. The Corrupting Ring: A Lesson in Resisting Power 3. warn others about …
-
10. why might someone file a tax return, even if they arent legally req…
Max is not correct. Filling in 'exempt' on his W-4 will result in no federal income tax being withheld from his part-time paychecks. Since he earns below the income threshold for …
-
subtract mixed numbers with like denominators — quiz — level find $3\\f…
$2\frac{1}{8}$ For the fill-in blank under the fraction: the denominator is $\boldsymbol{8}$
-
graph the following function on the axes provided.$f(x)= \begin{cases} …
1. A line for $y=4x+19$ (left of $x=-5$) with an open circle at $(-5, -1)$ 2. A closed circle at $(-5, 2)$ 3. A line for $y=x+3$ (right of $x=-5$) with an open circle at $(-5, -2)$
-
4. kelly buys a sweater for $16.79 and a pair of pants for $28.49. she …
$\$4.72$
-
prepare for functions 1 think about what you know about rates of change…
1. Concept map filled as: - What Is It?: A measure of how one quantity changes relative to another; slope for linear relations. - What I Know About It: Calculated as $\frac{\Delta…
-
write the equation of the line in fully simplified slope-intercept form…
$\displaystyle y=\frac{1}{6}x - 6$
-
$f(x)=\\begin{cases} x + 7 & \\text{for } x \\leq -2 \\\\ -3x - 4 & \\t…
The graph consists of three segments: 1. A line from $(-\infty, 2)$ (extending left) to $(-2, 5)$ with a closed circle at $(-2, 5)$ (for $f(x)=x+7, x\leq-2$) 2. A line from $(-2, …
-
$f(x)=\\begin{cases} -x - 10 & \\text{for} & x < -4 \\\\ 2x + 3 & \\tex…
The piecewise function is graphed as follows: 1. A line from $(-10, 0)$ to an open circle at $(-4, -6)$ for $f(x)=-x-10$ ($x<-4$) 2. A line from a closed circle at $(-4, -5)$ to a…
-
graph the line with the equation $y = -\frac{1}{5}x - 3$.
The line passes through points $(0, -3)$ and $(5, -4)$, and extends infinitely in both directions across the coordinate grid.
-
$f(x)=\begin{cases} -3x - 6 & \text{for } x eq -1 \\ 1 & \text{for } x=…
1. Draw a line connecting the points $(0, -6)$ and $(-2, 0)$. 2. Add an open circle at $(-1, -3)$. 3. Add a closed circle at $(-1, 1)$.
-
¿cómo se compara la gráfica $g(x)=2^x + 5$ con la gráfica de $f(x)=2^x$…
# Explicación breve: Se trata de una traslación vertical de funciones exponenciales. Cuando a una función $f(x)$ se le suma un valor positivo $k$, su gráfica se desplaza hacia arr…
-
solve the quadratic equation. $x^2 - 3x - 13 = 0$ write one exact solut…
$\frac{3+\sqrt{61}}{2}$, $\frac{3-\sqrt{61}}{2}$
-
¿cómo se compara la gráfica $g(x)=2^x + 5$ con la gráfica de $f(x)=2^x$…
# Explicación: ## Paso 1: Identificar la transformación Para funciones de la forma $g(x) = f(x) + k$, si $k>0$, se produce una traslación vertical hacia arriba. Aquí, $f(x)=2^x$ y…
-
sea $h(x) = 5^x$ y $j(x) = h(x - 4)$. ¿cuál muestra la función $j(x)$ e…
A. $j(x) = 5^{(x-4)}$
-
sea $f(x)=3^{x}$ y $g(x)=f(x)-6$. ¿cuál muestra la función $g(x)$ escri…
$\boldsymbol{g(x) = 3^x - 6}$ (última opción)
-
draw a line representing the ise\ and a line representing the un\ of th…
The slope of the line is $\frac{5}{2}$ *(For the rise/run lines: From point $(0,-5)$, draw a vertical line up 5 units to $(0,0)$ (rise), then a horizontal line right 2 units to $(…
-
homework 2: 1.5 substitution score: 18/35 answered: 6/9 question 7 cons…
a) $x^3 + 4$ b) $3x^2 dx$ c) Lower limit: $12$, Integrand: $\frac{1}{3u^{14}}$, Upper limit: $220$ Transformed integral: $\boldsymbol{\int_{12}^{220} \frac{1}{3u^{14}} du}$
-
unit 4 dividing fractions: end of unit study guide for all questions: w…
1. 32 square inches 2. $\frac{3}{5}$ 3. $\frac{5}{7}$ 4. $3$ 5. $6$ 6. $2\frac{1}{12}$ o $\frac{25}{12}$ 7. $5\frac{1}{7}$ o $\frac{36}{7}$
-
homework 2: 1.5 substitution score: 14/35 answered: 5/9 question 6 cons…
a) $u = x^7 + 7$ $du = 7x^6 dx$ c) $\frac{1}{7} u^{1/5} du$ (or $\frac{1}{7} \sqrt[5]{u} du$)