Cálculo
Límites, derivadas, optimización y comportamiento de funciones.
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2. the following 2 graphs intersect at a point. what is the x value of …
\(-2.58\)
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name: jeshua amara mp2 test 2 review 1. the functions f and g are defin…
$h(x)=-36x^3$
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solve for x and graph the solution. $(x - 1)^3 > 0$ plot the endpoints.…
The solution is $x > 1$. To graph this: place an open endpoint at 1 on the number line, then draw a ray pointing to the right (toward increasing values of x) from this open endpoi…
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write your own definitions (20 points) - due 1/14/26 re - read the term…
The Reformation was a 16th-century European movement focused on fixing what its followers saw as corrupt and unjust practices within the Catholic Church. This effort ultimately br…
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solve for x and graph the solution. $(x + 6)^3 \\leq 0$ plot the endpoi…
The solution is $x \leq -6$. For the graph: 1. Mark a closed (filled) dot at $x=-6$ on the number line. 2. Draw a solid line with an arrow pointing left from this dot, covering al…
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write your own definitions (20 points) - due 1/14/26 re - read the term…
Urbanization refers to the ongoing movement of increasing shares of a population into urban areas, driving the physical growth of cities and bringing about significant shifts in t…
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evaluate $h(3) + h(0)$. graph of $h(x)$ evaluate $w(8)$.
$-8$ Note: The question about $w(8)$ cannot be solved as the graph for $w(x)$ is not provided.
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question 8 / 10 a ______ is a small piece of ownership in a company. a.…
C. Stock
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question 5 / 10 ______ are loans to a company or government for a set a…
A. Bonds
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answer c: 15 ______ evaluate g(-4). graph of g(x) answer d: -3 ______ e…
$g(-4) = 3$ $h(3) + h(0) = -4$
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answer g: 4 #3 evaluate f(-8) - f(4). graph of f(x) with grid answer k:…
$-13$ --- ### For the problem: Evaluate $3g(7)-1$
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assessment practice 18. what is the missing fraction in the following e…
\(\frac{3}{4}\)
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5. f(x) = -2(x + 5)^2 - 3
The vertex of the parabola is \((-5, -3)\)
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5. f(x) = -2(x + 5)^2 - 3
The vertex of the parabola defined by \( f(x) = -2(x + 5)^2 - 3 \) is \((-5, -3)\).
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5. $f(x)=-2(x + 5)^2 - 3$
The vertex of the parabola is \((-5, -3)\)
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5. $f(x)=-2(x + 5)^2 - 3$
Assuming the problem is to find the vertex of the parabola \( f(x) = -2(x + 5)^2 - 3 \), we can use the vertex form of a quadratic function. ### Step-by-Step Explanation: The vert…
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5. $f(x)=-2(x + 5)^2 - 3$
The vertex of the parabola is \((-5, -3)\)
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5. f(x) = -2(x + 5)^2 - 3
- Vertex: \((-5, -3)\) - Direction of opening: Downward - Transformations: Shift 5 left, stretch by 2, reflect over x - axis, shift 3 down (depending on the specific question aske…
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5. f(x) = -2(x + 5)^2 - 3
- Vertex: \((-5, -3)\) - Direction of opening: Downward - Axis of symmetry: \( x = -5 \) (if applicable)
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8. $12\\frac{1}{3} - 5\\frac{4}{6}$
\(6\frac{2}{3}\)
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5. f(x) = -2(x + 5)^2 - 3
The vertex of the parabola is \((-5, -3)\)
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5. $g(x) = -2(x + 5)^2 - 3$
The vertex of the parabola \( g(x)=-2(x + 5)^2-3 \) is \(\boldsymbol{(-5,-3)}\) and the parabola opens downwards with the vertex at this point (and can be graphed using the additi…
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5. $f(x) = -2(x + 5)^2 - 3$
The vertex of the parabola \( f(x) = -2(x + 5)^2 - 3 \) is \((-5, -3)\), and the parabola opens downward with this vertex.
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5. $f(x) = -2(x + 5)^2 - 3$
- Vertex: \((-5,-3)\) - Direction of opening: Downwards - Some points on the parabola: \((-4,-5)\), \((-6,-5)\) (and the vertex \((-5,-3)\)) If the original function was supposed …
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complete the equation. 0.037 × ? = 37. the options are 10², 10³, 10⁴, 1…
\( 10^{3} \)
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find the product. 25.4 × 10⁴ =
254000
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find the quotient. 420 ÷ 1,000 =
\(0.42\)
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find the quotient. 3.6 ÷ 100 =
0.036
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find the quotient. 25 ÷ 10 = 2.5 2.5 ÷ 10 = 0.25 0.25 ÷ 10 =
\(0.025\)
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find the quotient. 25 ÷ 10 = 2.5 2.5 ÷ 10 =
0.25
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question 5 of 25 consider the function. f(x) = \\frac{x - 7}{5x - 4} fi…
\( (-\infty, 4/5) \cup (4/5, \infty) \) (the third option)
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find the quotient. 25 ÷ 10 =
\(2.5\) (or \(\frac{5}{2}\))
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250 ÷ 10 = 25.0 tens ones 5 0 . tenths hundredths complete the sentence…
left
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question 4 of 25 find a formula for an exponential function $f(x) = a \…
\(f(x)=4\cdot3^{x}\) (the option with the formula \(f(x) = 4\cdot3^{x}\))
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find the quotient. 25,000 ÷ 10 = 2,500 2,500 ÷ 10 = 250 250 ÷ 10 = \\bo…
25
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find the zeros for the polynomial function and give the multiplicity fo…
The zero(s) is/are $\boldsymbol{-7, -4, 4}$ For multiplicities: C. There are three zeros. The multiplicity of the smallest zero is $\boldsymbol{1}$. The multiplicity of the larges…
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find the quotient. 25,000 ÷ 10 =
2500
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find the product. $4.8 \\times 10,000 = \\square$
\(48000\)
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find the indicated function values for the function g(x) = 2x - 1. a. g…
\( 2b + 13 \)
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find the product. 0.07 × 1,000 =
70
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find the product. 1.4 × 1,000 =
1400
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find the product. 0.006 × 100 =
\(0.6\)
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0.048 × 10 = 0.48 0.48 × 10 = 4.8 4.8 × 10 = 48 (chart with place value…
1000
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find the product. 0.048 × 10 = 0.48 0.48 × 10 = 4.8 4.8 × 10 =
48
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find the product. 0.048 × 10 =
\(0.48\)
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find $0.04 \\times 10$. (chart with columns: tens, ones, tenths, hundre…
\(0.4\)
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find $0.04 \\times 10$. do you need to write a zero in the ones place o…
yes
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question #2 multiple choice which of the following potential drawbacks …
It is expensive to create. ### Question #3
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the government of country a has determined there is a coal shortage bas…
allocate resources.
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find the value of f(5). y = f(x)
\(-1\)
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the graph of $y = \\sqrt{x}$ is the solid black graph below. which func…
$y = \sqrt{x - 4} - 4$
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evaluate the expression. \\(\\frac{(1 + 6)9}{5^2 - 4}\\)
7
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the graph of the the function f(x) is shown at the right. a. make a tab…
For \( x = 6 \), \( f(x - 5)=\boldsymbol{0} \); for \( x = 7 \), \( f(x - 5)=\boldsymbol{2} \); for \( x = 11 \), \( f(x - 5)=\boldsymbol{4} \); for \( x = 13 \), \( f(x - 5)=\bol…
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question what is the rate of change of the function $y = -3x + 1$?
$-3$
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4·(4 - 7)² - 6·7 + 20
If we keep it as a fraction, the answer is \(\frac{1234}{63}\) or as a mixed number \(19\frac{37}{63}\), and as a decimal approximately \(19.59\)
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make a table of values for the following equation. then graph the equat…
### Part 1: Table of Values for \( y = |x + 5| \) To create a table of values, we choose several values for \( x \) and calculate the corresponding \( y \)-values using the absolu…
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from the graph of the function, state the domain, the range, and the in…
\([-2, 1]\)
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write the equation of this line in slope - intercept form. write your a…
$y = 3x-5$
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make a table of values for the following equation. then graph the equat…
For \( x = -3 \), \( y = 4 \); for \( x = -1 \), \( y = 2 \); for \( x = 0 \), \( y = 1 \); for \( x = 1 \), \( y = 2 \); for \( x = 3 \), \( y = 4 \). The completed table is: | \…
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the function $y = f(x)$ is graphed below. what is the average rate of c…
\(0\)
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find the sum. write your answer as a mixed number. $4\\frac{5}{8} + \\f…
\(5\frac{1}{2}\) (which can be written as \(5\frac{1}{2}\) with the whole number part \(5\), numerator \(1\) and denominator \(2\))
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graph the line that has a slope of 3 and includes the point (0, 5). cli…
To graph the line $y = 3x+5$: - Plot the point $(0,5)$ (since when $x = 0$, $y = 5$). - Use the slope $m = 3$ (rise of 3, run of 1) to find another point. From $(0,5)$, move 1 uni…
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write the equation of the line described below in point - slope form. f…
$y + 10 = -\frac{1}{5}(x + 4)$
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find the zeros of the function. state the multiplicity of multiple zero…
C. The numbers $-1, 0, 1$ are zeros of multiplicity 1.
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which statement primarily appeals to pathos to support the position tha…
The third statement: "Long summer breaks are famously associated with relaxation so extreme that it verges on sloth, as students sleep until noon and spend hours lounging with fri…
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7. graph the equation $y = -\\frac{1}{3}x$
The graph is a straight line passing through the origin with slope $-\frac{1}{3}$.
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find the equation of the line that is perpendicular to y = (1/8)x - 4 a…
The equation of the line is \( y=-8x + 4 \), so the coefficient of \( x \) is \(-8\) and the constant term is \( 4 \). Filling in the blanks, we have \( y=\boxed{-8}x+\boxed{4} \).
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graph this line using the slope and y-intercept: $y = -\frac{3}{4}x + 6…
To graph the line \(y =-\frac{3}{4}x + 6\): 1. Plot the y - intercept \((0,6)\) (since when \(x = 0\), \(y=6\)). 2. Use the slope \(m=-\frac{3}{4}\): from \((0,6)\), move down 3 u…
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sketch the graph of the quadratic function and the axis of symmetry. st…
The equation for the axis of symmetry is \( x = -2 \).
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graph the function $f(x) = -5(x - 5)^2$. plot the vertex. then plot ano…
1. Plot the vertex at $\boldsymbol{(5, 0)}$ 2. Plot a second point such as $\boldsymbol{(4, -5)}$ or $\boldsymbol{(6, -5)}$, then draw a downward-opening parabola through these po…
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graph the line with the equation $y = -x + 2$.
The line \(y = -x+2\) is graphed by plotting the y - intercept \((0,2)\) and using the slope \(-1\) to find another point (e.g., \((1,1)\) or \((-1,3)\)) and then drawing a straig…
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look at this graph: graph of a parabola opening upwards with vertex at …
2
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graph the function $f(x) = -5(x - 4)^2$. plot the vertex. then plot ano…
1. Plot the vertex at $(4, 0)$. 2. Plot additional points such as $(3, -5)$ and $(5, -5)$, then draw a downward-opening parabola through these points.
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graph the function $f(x) = 2x^2 + 8x + 14$. plot the vertex. then plot …
1. Plot the vertex at $(-2, 6)$ 2. Plot the second point at $(0, 14)$ (The parabola opens upward, symmetric about the line $x=-2$)
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plot all of the existing five features of the following rational functi…
- Hole: \((-4,8)\) - x - Intercept: \((4,0)\) - y - Intercept: \((0,4)\) - Vertical Asymptote: None - Horizontal Asymptote: None
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given the function $f(x) = -5x^2 - x + 20$, find $f(3)$.\ \\bigcirc\\ -…
\(-28\) (corresponding to the option: -28)
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which of the following describes the growth rate of the exponential fun…
For each \(x\) increase of 1, the \(y\) increases by a common factor of 3 (the second option)
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tables of values for two different functions are given below | x | y | …
The right function grows approximately 21 times faster than the left function over the interval \( 4 < x < 5 \).
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write the equation of this line in slope - intercept form. write your a…
$y =-\frac{1}{2}x$
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what are the x-intercepts of the function $f(x) = -x^2 - x + 2$? ○ $(-2…
\( (-2, 0) \) and \( (1, 0) \) (corresponding to the first option: \( \boldsymbol{(-2, 0)} \) and \( \boldsymbol{(1, 0)} \))
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the function $f(x) = -(x + 5)(x + 1)$ is shown. what is the range of th…
all real numbers less than or equal to 4
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here is a system of equations. \\begin{cases} y = -5 - 3x \\\\ y = -3x …
Infinitely many solutions
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question the graph of ( y = f(x) ) is the solid black graph below. whic…
\( y = f(x - 5)+2 \) (the option with this formula, usually the third one in the list of options provided in the question)
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question the graph of $y = f(x)$ is the solid black graph below. which …
\( y = f(x + 1) + 5 \) (the option with \( y = f(x + 1) + 5 \))
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anya found the slope of the line that passes through the points (-7, 4)…
She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values.
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question the graph of ( y = f(x) ) is the solid black graph below. whic…
\( y = f(-x)+2 \) (the first option in the answer choices)
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sketch the graph of the quadratic function and the axis of symmetry. st…
\((-2, 1)\)
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revisiting exponents & their functions quick check the elephant populat…
A. The elephant population in 1990 is 315, and the population increases by 7.5% each year.
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name: tyler angoketto date: 1-12-26 per: 1a unit 5: polynomial function…
1. a) As $x \to -\infty$, $f(x) \to -\infty$; as $x \to +\infty$, $f(x) \to +\infty$ b) Odd degree c) Positive 2. a) As $x \to -\infty$, $f(x) \to -\infty$; as $x \to +\infty$, $f…
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solve the following system of equations graphically on the set of axes …
# Explanation: ## Step1: Analyze \( y = 2x - 1 \) This is in slope - intercept[SSE onError error]
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ponents & radicals revisiting exponents & their functions back to intro…
The exponential function is \( f(x) = 8 \cdot (0.5)^x \) and \( f(5) = 0.25 \).
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the graph of the the function f(x) is shown at the right. a. make a tab…
### Part a: Table of Values for \( f(x) \) To determine the values of \( f(x) \) from the graph: - At \( x = 1 \): The graph starts at \( (1, 0) \) (since it begins rising from \(…
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use the table to answer the question. this table shows value of f(x) fo…
\( f(x) = \boldsymbol{2500} \cdot \boldsymbol{(1.05)}^x \)
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revisiting exponents & their functions practice complete this assessmen…
\(x = 38\)
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10. when using a table to graph a function, what is the vertical line t…
A. Whether each x - value has exactly one y - value
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graph the equation. then describe the transformation from the parent fu…
A
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a train leaves the station at time t = 0. traveling at a constant speed…
$d = 120t$
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question 5 while responding to a collision with injuries, an officer ma…
C. Due regard for the public
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ejemplo encuentra $1\\frac{3}{4}+4\\frac{5}{8}$. una forma: suma las pa…
# Explicación: ## Ejercicio 1: ### Paso 1: Igualar denominadores Convertir $\frac{2}{5}$ a denominador 10: $\frac{2}{5} = \frac{4}{10}$ ### Paso 2: Sumar enteros y fracciones Suma…
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the height h, in feet, of a coin being tossed at a football game is giv…
The correct graph is the top-middle one (opening downward, starting at $h=4$, hitting $h=0$ at $t=2$). The coin hits the ground at $t=2$ seconds.