Cálculo
Límites, derivadas, optimización y comportamiento de funciones.
-
28. |15| - 7
8
-
26. 12 - |8| 29. |108| - 67
$12 - |8| = 4$ $|108| - 67 = 41$
-
graph the system of equations to determine the solution. $y = \\frac{2}…
The solution is the point $(3, 3)$
-
write each expression using th then compute.) 2. 9 - 9 5. 17 - 28
$29 - 9 = 20$ $17 - 28 = -11$
-
6. 38 - 56
$-18$
-
graph the system of equations to determine the solution. $y = \\frac{1}…
All points on the line $y = \frac{1}{2}x + 3$ are solutions; the system has infinitely many solutions.
-
does this graph represent a function? why or why not? a. no, because it…
D. Yes, because it passes the vertical line test.
-
graph the system of equations to deter $y = \\frac{1}{2}x + 3$ $2y = x …
Plot the point $(2,4)$ (or any other valid point on the line $y=\frac{1}{2}x+3$, such as $(4,5)$ or $(-2,2)$) to complete the line. The system has infinitely many solutions since …
-
the table below represents a linear function. | x | y | |----|----| | -…
B. $y=-\frac{3}{4}x - 5$
-
which graph shows the polynomial function $g(x) = -x^4 + x + 2$?
The top-left graph (the one with downward opening, y-intercept at (0,2), and passing through (1,2))
-
the graph of a function is shown on the coordinate plane below. which r…
C. $y=-\frac{5}{2}x+3$
-
the table below represents a linear function. | x | y | |----|----| | 4…
D (the graph with slope -5)
-
question 11 (4 points) a ball is thrown vertically upward with an initi…
The ball is more than 128 feet above the ground when $2 < t < 4$ seconds.
-
find the zeros of the given function $f(x)=x^{4}-4x^{3}-x^{2}+14x + 10$…
$-1, 3+i, 3-i$
-
3. $7\\times12 = 7\\times(\\underline{\\quad} + 2)$ $\\quad\\quad\\quad…
Para completar: \( 7\times12 = 7\times(\boldsymbol{10}+ 2) \) \(=(7\times\boldsymbol{10})+(7\times2) \) \(=\boldsymbol{70}+\boldsymbol{14} \) Área: \(\boldsymbol{84}\)
-
4. $6\\times14 = 6\\times(\\underline{quadquad}+\\underline{quadquad})$…
\( 6 \times 14 = 6 \times (\underline{10} + \underline{4}) \) \( = (6 \times \underline{10}) + (6 \times \underline{4}) \) \( = \underline{60} + \underline{24} \) Área: \(\underli…
-
select the correct answer. consider the graph of function f below. grap…
B. \( g(x) = f(x) + 4 \)
-
question 9 of 10 which of the following is a good way to save money if …
C. Check Web sites for student discounts
-
which expression is 5 times the sum of 4,215 and 1,172? a 5 × (4,215 + …
A. $5 \times (4,215 + 1,172)$
-
question 8 of 10 when taking into consideration a colleges tuition cost…
C. be open to lesser-known, cheaper colleges.
-
lesson check you know how? graphing, determine whether the function exp…
s: - 26a: $\$2249.73$ - 18: Exponential growth, y - intercept = 129 - 19: Exponential decay, y - intercept = 2 - 27: $143511.36$ (population after 15 years) - 29a: $h(n)=72(0.5)^{…
-
select the correct answer. consider the graph of f(x) given below. the …
A. \( g(x)=f(x)+4 \)
-
select the correct answer. in which direction must the graph of f(x) = …
C. down
-
$f(x)=\frac{3x^2 + 4x - 3}{x + 1}$ start by drawing the asymptotes. the…
1. Vertical Asymptote: $x=-1$ (dashed vertical line) 2. Slant Asymptote: $y=3x+1$ (dashed line) 3. Points on left segment: $(-3, -6)$, $(-2, -1)$ 4. Points on right segment: $(0, …
-
which graph represents the function ( f(x) = \frac{1}{4}x - 6 )? option…
A (the graph with positive slope, crossing the y - axis at a negative value)
-
find all the zeros of the function. (enter your answers as a comma - se…
$-3, -3, i, -i$
-
find all the zeros of the function (enter your answers as a comma - sep…
Zeros: $-3, -3, i, -i$ Product of linear factors: $h(x)=(x+3)^2(x-i)(x+i)$
-
solve each expression and match them with their appropriate result. (-8…
$(-841) \times (-11) = 9251$ $-661 \times 9 = -5949$ $202 \times (-10) = -2020$ $3871 \times 6 = 23226$
-
12 divide. 927 ÷ (-9) =
-103
-
f(x) = \\frac{-3x^{2} + 15x}{x^{2} - 7x + 10} start by drawing the asym…
1. Draw vertical dashed asymptote at $x=2$, horizontal dashed asymptote at $y=-3$ 2. Plot hollow dot at $(5, -5)$ 3. Plot solid points: $(0,0)$, $(1,3)$ (left of $x=2$); $(3,-9)$,…
-
use the drawing tool(s) to form the correct answer on the provided grap…
The transformed points for \( g \) are \((-3, -2)\), \((-2, -1)\), \((-1, 0)\), \((0, 1)\), \((1, 2)\). To plot, use these coordinates.
-
f(x) = \\frac{-7}{x + 1} start by drawing the vertical and horizontal a…
Vertical asymptote: $x=-1$ (dashed line) Horizontal asymptote: $y=0$ (dashed line) Points on left of asymptote: $(-2,7)$, $(-8,1)$ Points on right of asymptote: $(0,-7)$, $(6,-1)$…
-
7. some banks charge a(n) maintenance fee each month just to keep your …
Mobile Check Deposit ### Question 11
-
select the correct answer. what is the range of the function shown on t…
A. \(-9\leq y\leq8\)
-
graph the line with slope -7 and y-intercept 6.
The line is graphed by first plotting the point \((0, 6)\) (the \(y\)-intercept) and then using the slope \(-7=\frac{-7}{1}\) to find another point (e.g., \((1, - 1)\) by moving d…
-
consider the following. $f(x) = x^3 - 4x^2 - 4x + 16$ find all the zero…
$x = -2, 2, 4$ ---
-
step 3 use synthetic division again to divide the second known zero (th…
The factor is $(x + \boldsymbol{1})$. The zero of this factor is $x = \boldsymbol{-1}$
-
simplify the following expression. assume any factors you cancel are no…
$\frac{7t + 6s}{s^2t^2}$
-
select the correct answer. the graphs represent functions f and g. whic…
D. \( (3,25) \)
-
simplify the following expression. assume any factors you cancel are no…
$\frac{8 - k}{k+7}$
-
the graph of a function ( f ) is shown. find ( f(2) ). ( f(2) = square )
6
-
evaluate $f(x) = 5^{x - 1} - 6$ when $x = 9$. a 390,619 b 390,625 c 1,9…
A. 390,619
-
this question has several parts that must be completed sequentially. if…
\(-1, -7i, 7i\)
-
this question has several parts that must be completed sequentially. if…
$-1, 7i, -7i$
-
question 1 of 8 use the drawing tools to form the correct answer on the…
The ordered pair is \((-4,12)\), so we plot the point at \((-4,12)\) on the graph.
-
2 select the correct answer. find the value of g(25) for the function b…
B. -336
-
question 4 of 5 select the correct answer. if h is a function and -7 is…
The expression \( h(-7) \) represents the output of \( h \) corresponding to the input of \(-7\).
-
8. solve: \\(\\frac{3^3 - (2^2 - 1)}{9 \\times 2 \\div 3}\\)
4
-
c) the function $f(x) = x^3$, which has been reflected across the $x$-a…
$g(x) = -\frac{1}{2}x^3 + 2$
-
question 1-5 select all ordered pairs that represent solutions to the s…
(-1, 8), (3, 0)
-
a) the function $f(x) = \\sqrt3{x}$, which has been stretched verticall…
a) $y=5\sqrt[3]{x+2}$ b) $y=2\sqrt{-x}-5$
-
120 130 140 150 160 170 180 190 200 210 220 \\(\\begin{array}{r}01\\box…
7
-
there is a division operation (dfrac{108}{35}) and some subtraction ope…
3
-
9. 5,420 ÷ 61 10. 2,500 ÷ 72
9. $\approx 88.85$ 10. $\approx 34.72$ If exact fractional answers are preferred: 9. $\frac{5420}{61}$ 10. $\frac{625}{18}$
-
a) the function $f(x) = sqrt3{x}$, which has been stretched vertically …
$f(x) = 5\sqrt[3]{x+2}$
-
simplify the product into a quotient of natural logarithms. \\(\\log_{3…
$\frac{\ln(5)}{\ln(3)}$
-
functions - 8.f.2 examine the following sets of functions and determine…
B (or the function \(y = 2x+3\))
-
solve the following with pen and paper. 9 \\overline{) 8 \\quad 2 \\qua…
9 1 r 7
-
fill in the blanks 8 ÷ 3 = r
2 r 2
-
which statement primarily appeals to pathos to support the position tha…
If we, as a community, decided to set aside our isolating independence and share many of life's simple tools—such as lawnmowers, bicycles, or Internet connections—we would be far …
-
14 longdiv 4 3 4
The filled long division is: ``` 3 1 _______ 14 |4 3 4 4 2 ----- 1 4 1 4 ----- 0 ``` Blanks filled in order (top to bottom, left to right): 3, 1, 4, 2, 1, 4, 1, 4, 0
-
add. 2.91 + 30.4
\(33.31\)
-
add. 8.5 + 5.16
\( 13.66 \)
-
add. 32.64 + 4.5
\(37.14\)
-
add. \\begin{array}{r} 53.74 \\\\ +\\ \\ \\ 0.4 \\\\ \\hline \\end{arra…
\(54.14\)
-
add. \\begin{array}{r} 26.6 \\\\ +\\ \\ 5.08 \\\\ \\hline \\end{array}
\(31.68\)
-
divide. 154÷22
7
-
divide. 175 ÷ 35
5
-
divide. 207÷23
9
-
10. what is a modern example of an authoritarian government? 11. what a…
10. North Korea (a modern state with centralized, non-democratic, authoritarian control over all aspects of society, limited political freedoms, and no free elections) 11. - **Sou…
-
what is the range of this function? {y|y > 0} {y|y > 1} {y|y ≥ 0} {y|y …
$\{y|y \geq 0\}$
-
4 sketch the graph of each line: $y = \\frac{3}{5}x - 4$
To sketch the graph of \( y=\frac{3}{5}x - 4 \): 1. Plot the y - intercept \( (0,-4) \). 2. Use the slope \( \frac{3}{5} \) to find another point (e.g., from \( (0,-4) \), move 5 …
-
3) showing all algebraic steps find the inverse of $f(x) = -\frac{3}{2}…
The inverse relation is \( f^{-1}(x) = -1 \pm\sqrt{\frac{2(6 - x)}{3}} \) (it is a relation, not a function in its full domain). ### Question 4: Is the graph of the inverse a func…
-
c) how many points of inflection does the graph of f have? justify your…
The graph of \( f' \) has three points of inflection.
-
6 which of the following represents the area of the shaded region in th…
e) \( \int_{a}^{d}[f(y)-a]dy \)
-
if \\(\\int_{1}^{3} f(x) dx = 5\\) and \\(\\int_{1}^{6} f(x) dx = 7\\),…
d) 7
-
10. if f(x) = e^e, which of the following is f(x)? (a)e^e (b)e^e + 1 (c…
\( \boldsymbol{0} \) (corresponding to option C)
-
given the functions $f(x)=x^2 + 4$ and $h(x)=x - 2$, find $(f - h)(-4)$…
26
-
u3:04: unit 3 test how can you determine if an inverse is a function? 0…
To determine if an inverse is a function, we can: 1) Apply the horizontal line test to the original function—if no horizontal line intersects its graph more than once (it is one -…
-
no calc, no notes part 1. graph ( f(x) = x^2 ), ( f(x) = x^3 ), ( f(x) …
1. - $f(x)=x^2$: Parabola with vertex at $(0,0)$, opening upward, symmetric across the y-axis. - $f(x)=x^3$: Cubic curve passing through $(0,0)$, strictly increasing, symmetric ab…
-
elements : pitch & linear pitch review quiz complete inside elements of…
- minor second - semi-tone - half-step
-
evaluate + x when x = 1, 15 + x = 15 + 1 =
16
-
part b 45.5 - 2.341 43 43.159 43.2 43.16 submit request answer
B. 43.159
-
for each problem, find the: x and y intercepts, x-coordinates of the cr…
x-intercepts: $x=0$, $x=3$ y-intercept: $y=0$ Critical points x-coordinates: $x=0$, $x=2$ Increasing on $(-\infty, 0) \cup (2, +\infty)$ Decreasing on $(0, 2)$ Inflection point x-…
-
name 8 $6.05 - 1.26
$\$4.79$
-
the area labeled b is five times the area labeled a. express b in terms…
\( b = \ln(5e^a - 4) \)
-
problem 7: spiral review the graph shows y as a function of x. for whic…
3. From 1 to 3 7. From 5 to 7 (Note: The numbering in the options seems a bit off in the original, but based on the analysis, "From 1 to 3" and "From 5 to 7" are the intervals whe…
-
given the following exponential function, identify whether the change r…
Growth, 3.6% increase
-
given the following exponential function, identify whether the change r…
This represents exponential growth with a 1% rate of increase.
-
given the following exponential function, identify whether the change r…
Growth, 24% increase
-
use multiplication and division facts to solve the following problems m…
\( 19 \) ### Problem ②: \( 96 \div 8 \)
-
evaluate the function for the given value. f(x) = 5 - x for x = -3 f(-3…
8
-
evaluate the function for the given value. f(x) = 10x - 15 for x = 5 f(…
35
-
0 = \\sqrt3{924 + z} - 12
\(z = 804\)
-
select the best description of the following exponential equation. $f(x…
Growing by 82% with every unit of $x$.
-
23. a digital billboard has an area of 729.6 square feet. what is the p…
The perimeter of the billboard is \( 126.4 \) feet.
-
use the parabola tool to graph the quadratic function ( f(x) = x^2 + 10…
Vertex: $(-5, -9)$; Second point: $(0, 16)$ (the parabola opens upward, passing through these points and their symmetric counterparts)
-
Question was provided via image upload.
8
-
1. consider the following graph a) determine the equation. b) determine…
To solve the inequality \(\frac{(x - 2)^2}{(x + 3)(2x - 1)} \leq 0\), we follow these steps: ### Step 1: Find the critical points The critical points are where the numerator is ze…
-
2. 4 pts specify the type of the equation and solve for y \\frac{dy}{dx…
The equation is a Bernoulli differential equation. The solution is \(y=\frac{1}{Cx - x^{10}}\) (where \(C\) is an arbitrary constant)